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CN119973798B - A variable pressure deep magnetorheological processing method and processing system - Google Patents

A variable pressure deep magnetorheological processing method and processing system

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Publication number
CN119973798B
CN119973798BCN202510480436.3ACN202510480436ACN119973798BCN 119973798 BCN119973798 BCN 119973798BCN 202510480436 ACN202510480436 ACN 202510480436ACN 119973798 BCN119973798 BCN 119973798B
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magnetorheological
indentation depth
machining
polishing wheel
residual error
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CN119973798A (en
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宋辞
龙江林
王博
石峰
陈云恒
王占洋
蒋昭阳
张万里
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National University of Defense Technology
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National University of Defense Technology
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Abstract

Translated fromChinese

本申请公开了一种变压深磁流变加工方法及加工系统,本方法通过获取待加工元件的初始残余误差,随机生成待加工元件的初始修形系数;根据初始修形系数将初始残余误差进行分解,得到至少两个子残留误差分布;构建磁流变加工抛光轮的压入深度与压入深度对应修形能力的映射关系;基于映射关系,将每一子残留误差分布与磁流变加工抛光轮的压入深度进行匹配,循环迭代,直至满足迭代条件,得到加工修形系数和对应的压入深度;根据加工修形系数和对应的压入深度计算对应的驻留时间分布,得到待加工元件的加工修形系数、对应的压入深度以及对应的驻留时间分布,能够在单次工艺中实现多压深参数加工,提高连续相位元件的加工效率和加工精度。

The present application discloses a variable pressure depth magnetorheological machining method and a machining system. The method randomly generates an initial modification coefficient of the component to be machined by acquiring an initial residual error of the component to be machined; decomposes the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions; constructs a mapping relationship between the indentation depth of the magnetorheological machining polishing wheel and the modification capability corresponding to the indentation depth; based on the mapping relationship, matches each sub-residual error distribution with the indentation depth of the magnetorheological machining polishing wheel, iterates cyclically until the iteration condition is met, and obtains the machining modification coefficient and the corresponding indentation depth; calculates the corresponding residence time distribution according to the machining modification coefficient and the corresponding indentation depth, and obtains the machining modification coefficient, the corresponding indentation depth and the corresponding residence time distribution of the component to be machined, which can realize multi-indentation parameter machining in a single process and improve the machining efficiency and machining accuracy of continuous phase components.

Description

Variable-pressure deep magnetorheological processing method and processing system
Technical Field
The application relates to the technical field of optical processing, in particular to a variable-pressure deep magnetorheological processing method and a variable-pressure deep magnetorheological processing system.
Background
In the tip field of inertial confinement fusion (Inertial Confinement Fusion, ICF) and the like, the Continuous phase element (Continuous PHASE PLATE) needs to realize the phase adjustment precision of sub-wavelength level to generate the laser focal spot with flattened intensity distribution, steep transition edge and sidelobe suppression characteristics, which puts forward the control requirement of near atomic scale on the processing technology.
In the prior art, although the magnetorheological polishing technology (Magnetorheological Finishing, magnetorheological polishing technology) can achieve the removal capability of a sub-nanometer deterministic material, when facing the multi-scale composite phase characteristic, the precision etching requirement of a high-frequency microstructure and the deep shaping characteristic of a low-frequency phase region cannot be met at the same time, the space frequency of the surface microstructure is difficult to effectively match, the low-frequency error convergence rate is low, and the processing efficiency is severely restricted.
Disclosure of Invention
The following is a summary of the subject matter described in detail herein. This summary is not intended to limit the scope of the claims.
The embodiment of the disclosure mainly aims to provide a variable-pressure deep magnetorheological processing method and a variable-pressure deep magnetorheological processing system, which can realize multi-pressure deep parameter processing in a single process and improve the processing efficiency and the processing precision of continuous phase elements.
A first aspect of an embodiment of the present application provides a variable-pressure deep magnetorheological processing method, which is used for a central controller, and the method includes:
Acquiring an initial residual error of an element to be processed, and randomly generating an initial modification coefficient of the element to be processed;
Decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, wherein the spatial characteristics of any two sub-residual error distributions are different;
Constructing a mapping relation between the pressing depth of a magneto-rheological processing polishing wheel and the shape modifying capability corresponding to the pressing depth, wherein the magneto-rheological processing polishing wheel is used for processing the element to be processed;
based on the mapping relation, matching each sub-residual error distribution with the indentation depth of the magnetorheological processing polishing wheel, and performing cyclic iteration until the iteration condition is met, so as to obtain a processing shaping coefficient and a corresponding indentation depth;
And calculating corresponding residence time distribution according to the machining modification coefficient and the corresponding pressing depth to obtain the machining modification coefficient, the corresponding pressing depth and the corresponding residence time distribution of the element to be machined.
The embodiment of the application provides a variable-pressure deep magnetorheological processing method, which comprises the steps of obtaining an initial residual error of a to-be-processed element, randomly generating an initial modification coefficient of the to-be-processed element, decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, constructing a mapping relation between the indentation depth of a magnetorheological processing polishing wheel and the corresponding modification capability of the indentation depth, matching each sub-residual error distribution with the indentation depth of the magnetorheological processing polishing wheel based on the mapping relation, carrying out cyclic iteration until an iteration condition is met to obtain a processing modification coefficient and the corresponding indentation depth, calculating the corresponding residence time distribution according to the processing modification coefficient and the corresponding indentation depth to obtain a processing modification coefficient of the to-be-processed element, the corresponding indentation depth and the corresponding residence time distribution, and realizing multi-pressure deep parameter processing in a single process and improving the processing efficiency and the processing precision of a continuous phase element.
In some embodiments of the present application, the calculating formula for decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions includes:
;
;
Wherein, theAs an initial residual error for the current magnetorheological processing point,Is the initial shaping coefficient.
In some embodiments of the present application, the constructing a mapping relationship between the indentation depth of the magneto-rheological polishing wheel and the shaping capability corresponding to the indentation depth includes:
Defining the pressing depth of the magnetorheological finishing polishing wheel;
Obtaining a removal function corresponding to the pressing depth of the magnetorheological processing polishing wheel;
And constructing a mapping relation between the indentation depth of the magnetorheological processing polishing wheel and the shape modifying capacity corresponding to the indentation depth according to the indentation depth and the removal function.
In some embodiments of the present application, the constructing a mapping relationship between the indentation depth of the magneto-rheological polishing wheel and the shaping capability corresponding to the indentation depth according to the indentation depth and the removal function includes:
;
;
;
Wherein, theThe shaft is in the axial direction of the magnetorheological processing polishing wheel,The axis is tangential direction of the lowest point of the magnetorheological processing polishing wheel,The axis is the normal direction of the lowest point of the magnetorheological processing polishing wheel,For the radius of the magnetorheological finishing polishing wheel,For the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological finishing wheel,For the depth of indentation at the lowest point of the magnetorheological finishing wheel,For the surface shape equation of the element to be processed,In order to remove the intensity of the function,To remove the functionIs a two-dimensional fourier transform of (a),Representing the ability to remove function modifications.
In some embodiments of the application, the iterating includes:
Performing machining simulation on the sub-residual error distribution according to the modification coefficient and the corresponding pressing depth in the iterative process to obtain a simulation machining result;
And calculating the root mean square of the distribution of the sub-residual errors according to the simulation processing result, and establishing an adaptive function of the distribution of the sub-residual errors.
In some embodiments of the present application, the calculation formula for calculating the corresponding residence time distribution according to the machining modification coefficient and the corresponding indentation depth includes:
;
;
Wherein, theAs a residual error of the current magnetorheological processing point,AndIs an integral variable which is used to determine the position of the object,As a removal function of the current magnetorheological processing point,Is the residence time of the current magnetorheological processing point.
In some embodiments of the application, the iterative condition includes the root mean square satisfying a preset range based on an adaptive function of the sub-residual error distribution.
To achieve the above object, a second aspect of an embodiment of the present invention provides a variable-pressure deep magnetorheological processing system, the system including:
the acquisition module is used for acquiring the initial residual error of the element to be processed and randomly generating the initial shape correction coefficient of the element to be processed;
The decomposition module is used for decomposing the initial residual error according to the initial shape correction coefficient to obtain at least two sub-residual error distributions, and the spatial characteristics of any two sub-residual error distributions are different;
the construction module is used for constructing a mapping relation between the pressing depth of the magnetorheological processing polishing wheel and the shape modifying capability corresponding to the pressing depth, and the magnetorheological processing polishing wheel is used for processing the element to be processed;
The iteration module is used for matching each sub-residual error distribution with the indentation depth of the magnetorheological processing polishing wheel based on the mapping relation, and carrying out cyclic iteration until the iteration condition is met, so as to obtain a processing shaping coefficient and a corresponding indentation depth;
And the calculation module is used for calculating corresponding residence time distribution according to the machining modification coefficient and the corresponding pressing depth to obtain the machining modification coefficient, the corresponding pressing depth and the corresponding residence time distribution of the element to be machined.
To achieve the above object, a third aspect of the embodiments of the present invention provides an electronic device, including at least one control processor and a memory for communication connection with the at least one control processor, where the memory stores instructions executable by the at least one control processor, where the instructions are executed by the at least one control processor to enable the at least one control processor to perform a variable-pressure deep magnetorheological processing method as described above.
To achieve the above object, a fourth aspect of the embodiments of the present invention provides a computer-readable storage medium storing computer-executable instructions for causing a computer to perform a variable-depth magnetorheological processing method as described above.
It is to be understood that the advantages of the second to fourth aspects compared with the related art are the same as those of the first aspect compared with the related art, and reference may be made to the related description in the first aspect, which is not repeated herein.
Drawings
The foregoing and/or additional aspects and advantages of the application will become apparent and may be better understood from the following description of embodiments taken in conjunction with the accompanying drawings in which:
FIG. 1 is a schematic flow chart of a variable-pressure deep magnetorheological processing method provided by an embodiment of the application;
FIG. 2 is a schematic diagram illustrating the generation of a removal function provided by an embodiment of the present application;
FIG. 3 is a schematic diagram of a coordinate system of a magnetorheological fluid profile according to an embodiment of the present application;
FIG. 4 is a schematic diagram of removal characteristics of removal functions at different depths of pressure according to an embodiment of the present application;
FIG. 5 is a schematic structural diagram of a variable-pressure deep magnetorheological processing training system provided by an embodiment of the application;
Fig. 6 is a schematic diagram of a hardware structure of an electronic device according to an embodiment of the present application.
Detailed Description
Embodiments of the present application are described in detail below, examples of which are illustrated in the accompanying drawings, wherein like or similar reference numerals refer to like or similar elements or elements having like or similar functions throughout. The embodiments described below by referring to the drawings are illustrative only and are not to be construed as limiting the application.
In the description of the present application, the description of first, second, etc. is for the purpose of distinguishing between technical features only and should not be construed as indicating or implying a relative importance or implicitly indicating the number of technical features indicated or implicitly indicating the precedence of the technical features indicated.
In the description of the present application, it should be understood that the direction or positional relationship indicated with respect to the description of the orientation, such as up, down, etc., is based on the direction or positional relationship shown in the drawings, is merely for convenience of describing the present application and simplifying the description, and does not indicate or imply that the apparatus or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus should not be construed as limiting the present application.
In the description of the present application, unless explicitly defined otherwise, terms such as arrangement, installation, connection, etc. should be construed broadly and the specific meaning of the terms in the present application can be determined reasonably by a person skilled in the art in combination with the specific content of the technical solution.
A Continuous phase element (Continuous PHASE PLATE) is a typical representation of a diffractive optical element, the core of which is characterized by a surface distributed with a Continuous random phase profile structure. Different from the scattering loss and intensity modulation problems caused by discrete steps of the traditional step-type phase element, the continuous phase element can effectively inhibit the higher-order diffraction effect through a smooth phase structure, the laser damage resistance threshold of the element is obviously improved, and the continuous phase element has unique technical advantages in the fields of laser beam shaping, wavefront compensation, optical field modulation and the like. In addition, the continuous phase element can be used for converting the incident wave front into an emergent wave front with specific energy distribution (such as flat-top, gaussian or ultra-Gaussian distribution) by precisely regulating the phase distribution of the incident wave front. In an inertial confinement fusion (Inertial Confinement Fusion, ICF) device, in order to realize uniform irradiation of a target pill, the light intensity distribution of a laser focal spot is required to have the characteristics of flat top, steep edge and no side lobe, which puts a very high requirement on the manufacturing precision of a continuous phase element.
In recent years, as inertial confinement fusion devices move to higher power, shorter pulse directions, design parameters of continuous phase elements show trends of spatial period miniaturization (millimeter scale) and modulation depth multiplication (several micrometers to tens of micrometers), which presents great challenges for the precision and adaptability of manufacturing processes.
The magnetorheological polishing technology (Magnetorheological Finishing, magnetorheological polishing technology) has become the main flow processing method of the continuous phase element in the inertial confinement fusion device by virtue of the advantages of high certainty (the material removal precision reaches the sub-nanometer level), small subsurface damage and the like, and forms a mature process flow. With the continuous improvement of the performance requirements of the inertial confinement fusion system on the continuous phase element, the traditional magnetorheological polishing technology gradually presents a technical bottleneck when dealing with the minimum space period reduction and the increase of the modulation depth of the continuous phase element.
In the current process, a single removal function at a fixed pressure depth is generally adopted to carry out multiple processing-measuring-processing iterations, and a target structure is realized on the surface of the fused quartz substrate through repeated shaping. However, the continuous phase element surface has complex phase distribution characteristics of multi-scale interleaving, and a single removal function is difficult to effectively match the spatial frequency of the surface microstructure, so that the low-frequency error convergence rate is low. Furthermore, the polishing wheel diameter of magnetorheological polishing techniques is typically in excess of 100 millimeters, making it difficult to precisely machine structures having a space period of less than 8 mm. In summary, the lack of the multi-scale modification capability of the conventional magnetorheological removing function and the limitation of the physical size of the polishing tool jointly cause the unbalance of precision and efficiency in the manufacturing process of the continuous phase element, and the continuous phase element becomes a main technical obstacle for the current process optimization.
Based on the above, the embodiment of the application provides a variable-pressure deep magnetorheological processing method and a variable-pressure deep magnetorheological processing system, which aim to realize multi-pressure deep parameter processing in a single process and improve the processing efficiency and the processing precision of continuous phase elements.
The variable-pressure deep magnetorheological processing and processing system provided by the embodiment of the application is specifically described by the following embodiment, and the variable-pressure deep magnetorheological processing method in the embodiment of the application is described first.
The embodiment of the application can acquire and process the related data based on the artificial intelligence technology. Wherein artificial intelligence (ARTIFICIAL INTELLIGENCE, AI) is the theory, method, technique, and application system that uses a digital computer or a digital computer-controlled machine to simulate, extend, and expand human intelligence, sense the environment, acquire knowledge, and use knowledge to obtain optimal results.
Artificial intelligence infrastructure technologies generally include technologies such as sensors, dedicated artificial intelligence chips, cloud computing, distributed storage, big data processing technologies, operation/interaction systems, mechatronics, and the like. The artificial intelligence software technology mainly comprises a computer vision technology, a robot technology, a biological recognition technology, a voice processing technology, a natural language processing technology, machine learning/deep learning and other directions.
The embodiment of the application provides a variable-pressure deep magnetorheological processing method, and relates to the technical field of optical processing. The variable-pressure deep magnetorheological processing method provided by the embodiment of the application can be applied to a terminal, a server and software running in the terminal or the server. In some embodiments, the terminal may be a smart phone, a tablet computer, a notebook computer, a desktop computer, etc., the server may be configured as an independent physical server, may be configured as a server cluster or a distributed system formed by a plurality of physical servers, and may be configured as a cloud server for providing cloud services, cloud databases, cloud computing, cloud functions, cloud storage, network services, cloud communication, middleware services, domain name services, security services, CDNs, and basic cloud computing services such as big data and artificial intelligent platforms, and the software may be an application for implementing a variable-pressure deep magnetorheological processing method, but is not limited to the above form.
The application is operational with numerous general purpose or special purpose computer system environments or configurations. Such as a personal computer, a server computer, a hand-held or portable device, a tablet device, a multiprocessor system, a microprocessor-based system, a set top box, a programmable consumer electronics, a network PC, a minicomputer, a mainframe computer, a distributed computing environment that includes any of the above systems or devices, and the like. The application may be described in the general context of computer-executable instructions, such as program modules, being executed by a computer. Generally, program modules include routines, programs, objects, components, data structures, etc. that perform particular tasks or implement particular abstract data types. The application may also be practiced in distributed computing environments where tasks are performed by remote processing devices that are linked through a communications network. In a distributed computing environment, program modules may be located in both local and remote computer storage media including memory storage devices.
For this reason, referring to fig. 1, an embodiment of the present application provides a variable-pressure deep magnetorheological processing method, which is applied to a central controller, wherein the controller may be a server, an electronic device, a mobile terminal, or the like, and the method includes the following steps S110 to S150 without specific limitation.
Step S110, obtaining initial residual errors of the element to be processed, and randomly generating initial shape correction coefficients of the element to be processed.
In this step, the initial residual error of the element to be machined is preferably obtained by comparing the difference between the preset standard profile and the actual measured base profile.
Specifically, the actual surface shape of the substrate can be measured by using an interferometer, and then compared with a preset standard surface shape, so that the difference between the preset standard surface shape and the actually measured surface shape of the substrate is the initial residual error.
Further, the initial shaping coefficients of the element to be processed are randomly generated for the subsequent iterative optimization process. By combining the initial shaping coefficients of the elements to be processed with different pressing depths (D), a set of initial input populations is formed. The combination of each group of modification coefficients and pressing depth represents a possible processing strategy or path, and is used for finding the most suitable combination of the modification coefficients and the pressing depth in the subsequent iterative optimization process, so that residual errors are effectively reduced, and the processing precision and efficiency of the continuous phase element are improved.
And step S120, decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, wherein the spatial characteristics of any two sub-residual error distributions are different.
In this step, the initial residual error is decomposed into a plurality of sub-residual error distributions using the initial shaping coefficients. Each sub-residual error distribution represents a particular portion or feature of the original error.
In particular, by decomposition, corrections can be made more accurately for different spatial frequency characteristics of successive phase element surfaces. In the decomposition process, the initial residual error is decomposed into sub-residual error distributions with different arbitrary spatial characteristics, so that each sub-residual error distribution corresponds to the error characteristics of different scales or different spatial frequencies on the surface of the continuous phase element.
In some embodiments, in the decomposed sub-residual error distribution, one sub-residual error may be concentrated on the low frequency error component, and another sub-residual error may be more focused on the high frequency error component, so as to more accurately process the multi-scale error of the surface of the continuous phase element, which helps to improve the matching degree of the removal function to the complex phase distribution feature of the surface of the continuous phase element, and realize more effective error reduction.
In some embodiments, decomposing the initial residual error according to the initial modification coefficient to obtain a calculation formula of at least two sub-residual error distributions, including:
;
;
Wherein, theAs an initial residual error for the current magnetorheological processing point,Is the initial shaping coefficient.
And S130, constructing a mapping relation between the pressing depth of the magnetorheological processing polishing wheel and the shape modifying capability corresponding to the pressing depth, wherein the magnetorheological processing polishing wheel is used for processing the element to be processed.
In this step, a mapping relationship between the pressing depth of the magnetorheological finishing polishing wheel and its corresponding shaping ability is constructed. In particular by experiments and calculations. For each possible indentation depth value, measuring the corresponding removal function, and recording the key characteristics of the corresponding removal function to obtain a series of characteristics, wherein the specific performance of the removal function under different indentation depths is shown.
Specifically, as shown in fig. 2, fig. 2 shows a magnetorheological fluid-based material removal mechanism including an element fixed as a processing object in a central region of a coordinate system and an intelligent fluid medium (magnetorheological fluid) surrounding the element, the rheological characteristics of which are regulated in real time by a magnetic field. By usingThe rectangular coordinate system defines the spatial distribution of the removal function to construct a three-dimensional feature space of the removal function for precisely describing the spatial position and shape of the removal function. Wherein, theIn order to remove the front-end length of the function,In order to remove the back-end length of the function,To remove the width of the function.
Further, the removal function describes the removal characteristics of the material when the magnetorheological fluid is in contact with the surface of the workpiece under certain conditions (e.g., the indentation depth D). Characteristics of the removal function include full width at half maximum, removal rate, and ability to process the smallest spatial periodic structure, etc., so the front end length, back end length, and width of the removal function are key parameters, determining the specific shape and extent of material removal.
Further, the shape modifying capability of the magnetorheological removing function is changed along with the change of the pressing depth, as shown in fig. 3, the removing characteristics of the removing function are different under different pressing depths, that is, the half-height full width of the removing function, the removing rate and the capability of processing the minimum space periodic structure are obviously changed due to different pressing depths. Thus, by adjusting the depth of penetration, the size of the removal function and the ability to modify the shape can be controlled to more effectively match different features of the surface of the continuous phase element.
In some embodiments, the mapping relationship between the pressing depth and the shape modifying capability corresponding to the pressing depth of the magnetorheological finishing polishing wheel is constructed in step S130, and the method includes the following steps:
step S210, defining the pressing depth of the magnetorheological finishing polishing wheel;
step S220, obtaining a removal function corresponding to the pressing depth of the magnetorheological processing polishing wheel;
And S230, constructing a mapping relation between the indentation depth of the magnetorheological processing polishing wheel and the shape modifying capability corresponding to the indentation depth according to the indentation depth and the removal function.
In this embodiment, a series of different indentation depths need to be defined first. In particular, different indentation depths affect the characteristics of the removal function, and thus the indentation depths should be selected to cover all ranges that may be used during actual machining to ensure that an optimal combination of machining parameters can be found.
Further, a removal function corresponding to the indentation depth of the magnetorheological finishing wheel is obtained, and for each selected indentation depth, a corresponding removal function is determined. The removal function describes the removal efficiency and distribution of the magnetorheological fluid on the surface material of the processed workpiece under the corresponding pressing depth. The removal function corresponding to the pressing depth of the polishing wheel for processing different magneto-rheological can be obtained through an experimental method, and preferably, the removal effect under different pressing depths can be quantified by using a precise measuring tool such as an interferometer.
Further, key parameters of the removal function include full width at half maximum (FWHM), removal rate, and ability to process minimum spatial periodic structures, etc., which reflect specific shaping ability at different indentation depths. Therefore, the mapping relation between the pressing depth and the corresponding shape modifying capability of the pressing depth of the magnetorheological processing polishing wheel can be constructed according to the pressing depth and the removing function, and the controllability of the processing process is improved and technical support is provided for realizing the manufacturing of optical elements with higher quality through adjustment based on the mapping relation.
Specifically, a mapping relationship between the pressing depth of the magnetorheological processing polishing wheel and the corresponding shaping capacity is constructed. By associating each indentation depth with its corresponding removal function feature, the specific shape modifying capability at different indentation depths is reflected, so that the indentation depth most suitable for the current processing task is selected in the actual processing process by using the constructed mapping relationship. By combining optimization techniques such as genetic algorithm, the optimal combination can be found in a plurality of pressing depths, so that each step of processing can reduce residual errors to the greatest extent and improve processing precision.
In some embodiments, as shown in a schematic diagram of a coordinate system of the profile description of the magnetorheological fluid in fig. 4, the dynamic behavior of the magnetorheological fluid in the polishing process is precisely described through the cooperation of a three-dimensional coordinate system and key parameters, wherein the polishing wheel is used for rotating to polish an element, a magnetorheological polishing ribbon is formed on the surface of the polishing wheel, the thickness of the magnetorheological polishing ribbon is regulated and controlled by the gradient of electromagnetic field intensity, and an arrow marks the clockwise rotation of the polishing wheel.
Specifically, in the three-dimensional coordinate system of FIG. 4,The axis of the shaft extends to the axis of the polishing wheel, and the transverse processing range is determined to be the axis direction of the magnetorheological processing polishing wheel; the axis is along the tangential direction of the lowest point of the polishing wheel, corresponds to the feeding motion vector of the machine tool and is the tangential direction of the lowest point of the magnetorheological processing polishing wheel; the axis is orthogonal to the outer circular curved surface of the polishing wheel, and the normal pressure component is quantized and is the normal direction of the lowest point of the magnetorheological processing polishing wheel; for the radius of the magnetorheological finishing polishing wheel,For the depth of indentation at the lowest point of the magnetorheological finishing wheel,Is the magnetorheological fluid width of the polishing wheel surface.
Further, constructing a mapping relation between the indentation depth and the shape modifying capability corresponding to the indentation depth of the magnetorheological processing polishing wheel according to the indentation depth and the removal function, wherein the mapping relation comprises the following steps:
;
;
;
Wherein, theThe shaft is in the axial direction of the magnetorheological processing polishing wheel,The axis is tangential direction of the lowest point of the magnetorheological processing polishing wheel,The axis is the normal direction of the lowest point of the magnetorheological processing polishing wheel,For the radius of the magnetorheological finishing polishing wheel,For the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological finishing wheel,For the depth of indentation at the lowest point of the magnetorheological finishing wheel,For the surface shape equation of the element to be processed,In order to remove the intensity of the function,To remove the functionIs a two-dimensional fourier transform of (a),Representing the ability to remove function modifications.
And step 140, matching each sub-residual error distribution with the indentation depth of the magnetorheological processing polishing wheel based on the mapping relation, and performing cyclic iteration until the iteration condition is met, so as to obtain the processing shaping coefficient and the corresponding indentation depth.
In the step, based on the constructed mapping relation between the pressing depth and the shaping capability, each sub residual error distribution is matched with the pressing depth of the magnetorheological processing polishing wheel, and the optimization treatment is carried out through cyclic iteration until the preset iteration condition is met.
In some embodiments, the iteration condition of the loop iteration of each sub-residual error distribution and the pressing depth of the magnetorheological finishing polishing wheel is an adaptive function based on the sub-residual error distribution, and the root mean square meets a preset range.
Specifically, based on the mapping relation between the pressing depth of the magnetorheological processing polishing wheel and the corresponding shape modifying capability of the pressing depth, each sub-residual error distribution is matched with the proper pressing depth, so that the pressing depth and the corresponding shape modifying coefficient which can most effectively reduce the sub-residual error are found.
Further, an adaptive function is typically defined based on Root Mean Square (RMS) of the sub-residual error distribution to quantify the machining effect for evaluating the effect of each set of combinations of shaping coefficients and indentation depths.
Specifically, a genetic algorithm is adopted to optimize the modification coefficient and the indentation depth. The genetic algorithm approaches the optimal solution gradually through selection, crossover and mutation operations. In each iteration, an fitness function value (i.e., RMS value of the sub-residual error distribution) is calculated and recorded.
Further, the iteration is terminated when the root mean square value of all sub-residual error distributions satisfies a preset range. Therefore, the processing precision and efficiency of the continuous phase element are obviously improved through iterative optimization, and the technical bottleneck existing in the traditional fixed-pressure deep processing is overcome.
In some embodiments, iterating in step S140, comprising the steps of:
step S310, processing simulation is carried out on the sub-residual error distribution according to the modification coefficient and the corresponding pressing depth in the iterative process, and a simulation processing result is obtained;
and step 320, calculating root mean square of the distribution of the sub-residual errors according to the simulation processing result, and establishing an adaptive function of the distribution of the sub-residual errors.
In this embodiment, in the iterative process, the machining simulation is performed on the sub-residual error distribution by using the modification coefficient and the corresponding pressing depth, so as to determine a corresponding simulated machining result, and further calculate the Root Mean Square (RMS) of the sub-residual error distribution based on the simulation result, so as to establish the adaptive function.
In particular, in each iteration, the current shaping coefficients and the corresponding indentation depths of the element to be machined are used as input parameters. The current modification coefficient and the corresponding indentation depth are generated through a genetic algorithm optimization process, and then a processing simulation model is constructed based on the removal function characteristic of the magnetorheological polishing technology, the processing simulation model simulates how the magnetorheological fluid interacts with the surface of the element to be processed under the given indentation depth, the corresponding prediction experimental result can be given through a simulation experiment, and the processing parameters can be conveniently adjusted according to the experimental result, so that the element to be processed is removed, and the surface error of the element to be processed is corrected.
Further, for each sub-residual error distribution, processing simulation is performed by using the processing simulation model, and in the simulation process, the effect of removing the element to be processed and the finally obtained surface shape are recorded. After each simulation is finished, comparing the surface shape after the simulation processing with a preset standard surface shape, and calculating new residual error distribution, namely calculating the difference between the actually processed surface and the ideal surface.
Further, for each sub-residual error distribution, its root mean square value (RMS) is calculated for quantifying the magnitude of the machining error.
Further, an adaptive function is established, wherein the adaptive function is an index for evaluating the combination effect of each group of modification coefficients and indentation depths, and root mean square values for minimizing distribution of sub-residual errors are realized through the adaptive function, so that optimal combinations are selected to enter a population of a next-generation genetic algorithm.
In particular, the form of the adaptive function may be adjusted according to specific requirements, but usually the root mean square value or its inverse is directly used as an evaluation criterion.
Specifically, in each generation of genetic algorithm, the fitness function values of all individuals (i.e., the combinations of the modification coefficients and the indentation depths) are calculated. In some embodiments, a higher fitness function value (if the reciprocal form is used), or a lower fitness function value (if the RMS value is used directly), indicates that the combination is closer to the optimal solution, and further, the optimal combination of modification coefficients and indentation depths is progressively screened out through multiple iterations.
Finally, a group of optimal modification coefficients and corresponding pressing depths are obtained, actual machining is carried out, the surface shape of the machined continuous phase element is measured, whether the residual error meets the standard is checked, and the machined surface error meets the design requirement.
And step S150, calculating corresponding residence time distribution according to the machining modification coefficient and the corresponding pressing depth to obtain the machining modification coefficient, the corresponding pressing depth and the corresponding residence time distribution of the element to be machined.
In the step, the residence time refers to the residence time of the magnetorheological polishing wheel at a specific position, the removal amount of the material at the position is directly influenced, and the corresponding residence time distribution is calculated according to the machining shape modifying coefficient and the corresponding pressing depth to obtain the machining parameters of the element to be machined.
Specifically, each indentation depth corresponds to a specific removal function, and the removal efficiency and distribution of the magnetorheological fluid on the surface material of the workpiece under the conditions are described. Based on the removal function, a relationship between the amount of material removed and the residence time can be established. And further calculates the amount of material to be removed at each location based on the shape of the sub-residual error distribution.
Further, processing parameters of the element to be processed are obtained, including processing modification coefficients, pressing depths corresponding to the processing modification coefficients and residence time distribution corresponding to the processing modification coefficients, which are obtained through optimization methods such as a genetic algorithm, are used for controlling material removal amounts of the magnetorheological polishing wheel at different positions, so that optimal material removal effects can be achieved at corresponding positions, and accurate material removal is achieved.
In some embodiments, a calculation formula for calculating a corresponding residence time distribution from the tooling modification coefficients and the corresponding indentation depths includes:
;
;
Wherein, theAs a residual error of the current magnetorheological processing point,AndIs an integral variable which is used to determine the position of the object,As a removal function of the current magnetorheological processing point,Is the residence time of the current magnetorheological processing point.
In particular, the method comprises the steps of,AndThese two parameters represent the relative current position in two dimensionsCan be calculated by scanning and accumulating over the whole domain.
In some embodiments, the method is based on random shaping coefficients) Will initially leave an errorDecomposing into a plurality of sub-residual error distributions with different spatial characteristics, and then obtaining removal functions under different pressure depths in a pressure depth interval of 0.1-0.4mmEstablishing a mapping relation between the magnetic current transformation depth and the function modification removal capacity;
Further, taking the minimum residual error Root Mean Square (RMS) as an evaluation index, adopting a genetic algorithm for optimizing, finding a group of proper shape modifying coefficients, matching the decomposed sub-residual error distribution with a plurality of magneto-rheological depths, and sequentially calculating corresponding residence timeAnd generating a plurality of groups of numerical control machining codes.
Further, the numerical control machining codes are integrated in sequence, so that multi-pressure deep parameter machining is realized in a single process, the limitations of insufficient shaping capability and insufficient dynamic performance of a machine tool in the traditional fixed pressure deep machining are overcome, and meanwhile, the machining efficiency and the precision of a continuous phase element can be improved.
The mapping relation between the magnetic current transformation depth and the function shaping capability removal function specifically comprises the following steps:
firstly, the intersecting line equation of the magnetorheological fluid and the workpiece is as follows:
;
Wherein, theThe shaft is in the axial direction of the magnetorheological processing polishing wheel,The axis is tangential direction of the lowest point of the magnetorheological processing polishing wheel,The axis is the normal direction of the lowest point of the magnetorheological processing polishing wheel,For the radius of the magnetorheological finishing polishing wheel,For the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological finishing wheel,For the depth of indentation at the lowest point of the magnetorheological finishing wheel,Is the surface shape equation of the element to be processed.
Further, the removal function shaping capability is expressed as:
;
;
Wherein, theIn order to remove the intensity of the function,To remove the functionIs a two-dimensional fourier transform of (a),Indicating the ability to remove the modification of the function,Is thatIs a function of the magnitude of (a). The modification capability of the magnetorheological polishing is equal to the amplitude spectrum after Fourier change of the removal function, and the amplitude spectrums of Fourier transform of the removal functions with different sizes can be adopted to compare the difference of the modification capability of the removal functions.
Thus, the shaping ability of the magnetorheological removal function is a function of the indentation depthAs in fig. 3, the full width at half maximum, removal rate, and ability to process minimum spatial periodic structures vary significantly.
In some embodiments, a random set of shaping coefficients is generatedAnd meet the followingWill initially leave an errorDecomposing into a plurality of sub-residual error distributions with different spatial characteristics, as follows:
;
specifically, the initial residual error is obtained from the difference between the design surface shape and the actual measured surface shape of the substrate (the surface shape is measured by an interferometer), and a plurality of pressing depths are obtained by an experimental methodLower removal functionAnd establishing a mapping relation between the pressing depth and the function modification removal capability.
Further, optimizing by a genetic algorithm, wherein a group of initial modification coefficients and various indentation depths are used as initial input populations, root mean square of the optimal residual errors is used as an evaluation parameter, different indentation depths are matched with sub-residual errors, and finally the matching relation between the modification coefficients and the indentation depths is obtained. The genetic algorithm is a calculation model, and after the initial modification coefficient and various indentation depths are input as an initial population, processing simulation can be carried out on a plurality of decomposed residual errors, and root mean square values of the residual errors are used as evaluation indexes of the model, so that a root mean square is obtained in each iteration.
And finally, obtaining a minimum root mean square value through a plurality of cross variation iterative simulations, and determining a modification coefficient and a pressing depth corresponding to the simulated minimum root mean square value.
According to the magneto-rheological material removal mechanism, the participation error of the optical element is equal to the removal function when the pressure, the relative speed and other process parameters are kept unchangedAnd residence timeConvolution along the processing trajectory. From deconvolution or linear equations, the pressure depths can be determined
;
;
Wherein, theAs a residual error of the current magnetorheological processing point,AndIs an integral variable which is used to determine the position of the object,As a removal function of the current magnetorheological processing point,Is the residence time of the current magnetorheological processing point.
Further, according to residence timeA numerical control machining code (NC), i.e. a machining code of a machining machine is generated for controlling the operation of the machining machine, realizing a multiple-depth-of-pressure parameter shaping continuous phase element in a single process.
In some embodiments, automated mechanical operations are achieved by generating a numerical control machining code (NC) to control a machine tool to machine by a numerical control machining code program.
Further, after finishing the machining and shaping, the surface shape of the continuous phase element is measured to check whether the residual error RMS reaches the standard. If the machining parameters do not reach the standards, searching for more optimal machining modification coefficients and indentation depths through a genetic algorithm.
In some embodiments, an initial shape correction coefficient of an element to be processed is randomly generated by acquiring an initial residual error of the element to be processed, the initial residual error is decomposed according to the initial shape correction coefficient to obtain at least two sub-residual error distributions, a mapping relation between the pressing depth of a magneto-rheological processing polishing wheel and the corresponding shape correction capability of the pressing depth is constructed, each sub-residual error distribution is matched with the pressing depth of the magneto-rheological processing polishing wheel based on the mapping relation, iteration is conducted until iteration conditions are met, the processing shape correction coefficient and the corresponding pressing depth are obtained, corresponding residence time distribution is calculated according to the processing shape correction coefficient and the corresponding pressing depth, the processing shape correction coefficient of the element to be processed, the corresponding pressing depth and the corresponding residence time distribution are obtained, multi-pressure-depth parameter processing can be achieved in a single process, and the processing efficiency and the processing precision of a continuous phase element are improved.
As shown in fig. 5, some embodiments of the present application provide a variable-pressure deep magnetorheological processing system, which includes an acquisition module 510, a decomposition module 520, a construction module 530, an iteration module 540, and a calculation module 550, specifically:
The obtaining module 510 is configured to obtain an initial residual error of the element to be processed, and randomly generate an initial modification coefficient of the element to be processed.
The decomposition module 520 is configured to decompose the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, where spatial features of any two sub-residual error distributions are different.
The construction module 530 is configured to construct a mapping relationship between a pressing depth of the magnetorheological finishing wheel and a shape modifying capability corresponding to the pressing depth, where the magnetorheological finishing wheel is used for machining the element to be machined.
And the iteration module 540 is used for matching each sub-residual error distribution with the indentation depth of the magnetorheological processing polishing wheel based on the mapping relation, and performing cyclic iteration until the iteration condition is met, so as to obtain the processing shaping coefficient and the corresponding indentation depth.
The calculating module 550 is configured to calculate a corresponding residence time distribution according to the machining shaping coefficient and the corresponding pressing depth, so as to obtain the machining shaping coefficient, the corresponding pressing depth and the corresponding residence time distribution of the element to be machined.
In some implementations, the decomposition module 520 can include:
;
;
Wherein, theAs an initial residual error for the current magnetorheological processing point,Is the initial shaping coefficient.
In some embodiments, the build module 530 may include defining a penetration depth of the magnetorheological finishing wheel.
In some embodiments, the constructing module 530 may include obtaining a removal function corresponding to the indentation depth of the magnetorheological finishing wheel.
In some embodiments, the constructing module 530 may include constructing a mapping of the indentation depth of the magneto-rheological polishing wheel to the shaping capability corresponding to the indentation depth according to the indentation depth and the removal function.
In some implementations, the build module 530 can include:
;
;
;
Wherein, theThe shaft is in the axial direction of the magnetorheological processing polishing wheel,The axis is tangential direction of the lowest point of the magnetorheological processing polishing wheel,The axis is the normal direction of the lowest point of the magnetorheological processing polishing wheel,For the radius of the magnetorheological finishing polishing wheel,For the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological finishing wheel,For the depth of indentation at the lowest point of the magnetorheological finishing wheel,For the surface shape equation of the element to be processed,In order to remove the intensity of the function,To remove the functionIs a two-dimensional fourier transform of (a),Representing the ability to remove function modifications.
In some embodiments, the iteration module 540 may include performing machining simulation on the sub-residual error distribution according to the modification coefficient and the corresponding pressing depth in the iteration process, to obtain a simulated machining result.
In some embodiments, the iteration module 540 may include computing a root mean square of the sub-residual error distribution based on the simulated machining results, establishing an adaptive function of the sub-residual error distribution.
In some implementations, the computing module 550 may include:
;
;
Wherein, theAs a residual error of the current magnetorheological processing point,AndIs an integral variable which is used to determine the position of the object,As a removal function of the current magnetorheological processing point,Is the residence time of the current magnetorheological processing point.
In some embodiments, the iteration module 540 may include that the iteration conditions include an adaptive function based on the distribution of sub-residual errors, the root mean square satisfying a preset range.
It should be noted that, the variable-pressure deep magnetorheological processing system and the variable-pressure deep magnetorheological processing method provided in this embodiment are based on the same inventive concept, so that the relevant content of the variable-pressure deep magnetorheological processing method is applicable to the content of the variable-pressure deep magnetorheological processing system, and therefore, the description thereof is omitted herein.
The method comprises the steps of obtaining initial residual errors of an element to be processed, randomly generating initial modification coefficients of the element to be processed by a system, decomposing the initial residual errors according to the initial modification coefficients to obtain at least two sub-residual error distributions, constructing a mapping relation between the pressing depth of a magneto-rheological processing polishing wheel and the corresponding modification capacity of the pressing depth, matching each sub-residual error distribution with the pressing depth of the magneto-rheological processing polishing wheel based on the mapping relation, carrying out cyclic iteration until iteration conditions are met to obtain the processing modification coefficients and the corresponding pressing depths, and calculating corresponding residence time distribution according to the processing modification coefficients and the corresponding pressing depths to obtain the processing modification coefficients, the corresponding pressing depths and the corresponding residence time distribution of the element to be processed. Therefore, the multi-pressure deep parameter processing can be realized in a single process, and the processing efficiency and the processing precision of the continuous phase element are improved.
The embodiment of the application also provides electronic equipment, which comprises a memory and a processor, wherein the memory stores a computer program, and the processor realizes the variable-pressure deep magnetorheological processing method when executing the computer program.
As shown in fig. 6, fig. 6 is a schematic hardware structure of an electronic device according to an embodiment of the present application, where the electronic device includes:
at least one battery;
At least one memory;
At least one processor;
at least one program;
The program is stored in the memory, and the processor executes at least one program to implement a variable-pressure deep magnetorheological processing method as described above.
The electronic device may be any intelligent terminal including a mobile phone, a tablet computer, a Personal digital assistant (Personal DIGITAL ASSISTANT, PDA), a vehicle-mounted computer, and the like.
The electronic device according to the embodiment of the application is described in detail below.
The processor 1600 may be implemented by a general purpose central processing unit (Central Processing Unit, CPU), a microprocessor, an Application SPECIFIC INTEGRATED Circuit (ASIC), or one or more integrated circuits, etc. for executing related programs to implement the technical solutions provided by the embodiments of the present disclosure;
The Memory 1700 may be implemented in the form of Read Only Memory (ROM), static storage, dynamic storage, or random access Memory (Random Access Memory, RAM). The memory 1700 may store an operating system and other application programs, and when the technical solutions provided by the embodiments of the present disclosure are implemented by software or firmware, relevant program codes are stored in the memory 1700, and invoked by the processor 1600 to perform a transformer deep magnetorheological processing method of the embodiments of the present disclosure.
An input/output interface 1800 for implementing information input and output;
The communication interface 1900 is used for realizing communication interaction between the device and other devices, and can realize communication in a wired manner (such as USB, network cable, etc.), or can realize communication in a wireless manner (such as mobile network, WIFI, bluetooth, etc.);
Bus 2000, which transfers information between the various components of the device (e.g., processor 1600, memory 1700, input/output interface 1800, and communication interface 1900);
wherein processor 1600, memory 1700, input/output interface 1800, and communication interface 1900 enable communication connections within the device between each other via bus 2000.
The disclosed embodiments also provide a storage medium that is a computer-readable storage medium storing computer-executable instructions for causing a computer to perform the above-described variable-depth magnetorheological processing method.
The memory, as a non-transitory computer readable storage medium, may be used to store non-transitory software programs as well as non-transitory computer executable programs. In addition, the memory may include high-speed random access memory, and may also include non-transitory memory, such as at least one magnetic disk storage device, flash memory device, or other non-transitory solid state storage device. In some embodiments, the memory optionally includes memory remotely located relative to the processor, the remote memory being connectable to the processor through a network. Examples of such networks include, but are not limited to, the internet, intranets, local area networks, mobile communication networks, and combinations thereof.
The embodiments described in the embodiments of the present disclosure are for more clearly describing the technical solutions of the embodiments of the present disclosure, and do not constitute a limitation on the technical solutions provided by the embodiments of the present disclosure, and as those skilled in the art can know that, with the evolution of technology and the appearance of new application scenarios, the technical solutions provided by the embodiments of the present disclosure are equally applicable to similar technical problems.
It will be appreciated by those skilled in the art that the technical solutions shown in the figures do not limit the embodiments of the present disclosure, and may include more or fewer steps than shown, or may combine certain steps, or different steps.
The above described apparatus embodiments are merely illustrative, wherein the units illustrated as separate components may or may not be physically separate, i.e. may be located in one place, or may be distributed over a plurality of network elements. Some or all of the modules may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
Those of ordinary skill in the art will appreciate that all or some of the steps of the methods, systems, functional modules/units in the devices disclosed above may be implemented as software, firmware, hardware, and suitable combinations thereof.
The terms "first," "second," "third," "fourth," and the like in the description of the application and in the above figures, if any, are used for distinguishing between similar objects and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used may be interchanged where appropriate such that the embodiments of the application described herein may be implemented in sequences other than those illustrated or otherwise described herein. Furthermore, the terms "comprises," "comprising," and "having," and any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, system, article, or apparatus that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus.
It should be understood that in the present application, "at least one (item)" means one or more, and "a plurality" means two or more. "and/or" is used to describe an association relationship of an associated object, and indicates that three relationships may exist, for example, "a and/or B" may indicate that only a exists, only B exists, and three cases of a and B exist simultaneously, where a and B may be singular or plural. The character "/" generally indicates that the context-dependent object is an "or" relationship. "at least one of" or the like means any combination of these items, including any combination of single item(s) or plural items(s). For example, at least one of a, b or c may represent a, b, c, "a and b", "a and c", "b and c", or "a and b and c", wherein a, b, c may be single or plural.
In the several embodiments provided by the present application, it should be understood that the disclosed apparatus and method may be implemented in other manners. For example, the apparatus embodiments described above are merely illustrative, e.g., the division of elements is merely a logical functional division, and there may be additional divisions of actual implementation, e.g., multiple elements or components may be combined or integrated into another system, or some features may be omitted, or not performed. Alternatively, the coupling or direct coupling or communication connection shown or discussed with each other may be an indirect coupling or communication connection via some interfaces, devices or units, which may be in electrical, mechanical or other form.
The units described as separate units may or may not be physically separate, and units shown as units may or may not be physical units, may be located in one place, or may be distributed over a plurality of network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.
In addition, each functional unit in the embodiments of the present application may be integrated in one processing unit, or each unit may exist alone physically, or two or more units may be integrated in one unit. The integrated units may be implemented in hardware or in software functional units.
The integrated units, if implemented in the form of software functional units and sold or used as stand-alone products, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present application may be embodied in essence or a part contributing to the prior art or all or part of the technical solution in the form of a software product stored in a storage medium, including multiple instructions for causing an electronic device (which may be a personal computer, a server, or a network device, etc.) to perform all or part of the steps of the methods of the embodiments of the present application. The storage medium includes various media capable of storing programs, such as a U disk, a removable hard disk, a Read-Only Memory (ROM), a random access Memory (Random Access Memory, RAM), a magnetic disk, or an optical disk.
While the preferred embodiments of the present application have been described in detail, the embodiments of the present application are not limited to the above-described embodiments, and those skilled in the art can make various equivalent modifications or substitutions without departing from the spirit of the embodiments of the present application, and these equivalent modifications or substitutions are included in the scope of the embodiments of the present application as defined in the appended claims.
The embodiments of the present application have been described in detail with reference to the accompanying drawings, but the present application is not limited to the above embodiments, and various changes can be made within the knowledge of one of ordinary skill in the art without departing from the spirit of the present application.

Claims (9)

Translated fromChinese
1.一种变压深磁流变加工方法,其特征在于,所述方法包括:1. A variable pressure deep magnetorheological processing method, characterized in that the method comprises:获取待加工元件的初始残余误差,并随机生成所述待加工元件的初始修形系数;Acquire an initial residual error of a component to be processed, and randomly generate an initial modification coefficient of the component to be processed;根据所述初始修形系数将所述初始残余误差进行分解,得到至少两个子残留误差分布,任意两个子残留误差分布的空间特征存在不同;Decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, wherein the spatial characteristics of any two sub-residual error distributions are different;构建磁流变加工抛光轮的压入深度与所述压入深度对应修形能力的映射关系,所述磁流变加工抛光轮用于加工所述待加工元件;Constructing a mapping relationship between the indentation depth of a magnetorheological machining polishing wheel and the shaping capability corresponding to the indentation depth, wherein the magnetorheological machining polishing wheel is used to process the component to be processed;基于所述映射关系,将每一子残留误差分布与磁流变加工抛光轮的压入深度进行匹配,循环迭代,直至满足迭代条件,得到加工修形系数和对应的压入深度;Based on the mapping relationship, each sub-residual error distribution is matched with the indentation depth of the magnetorheological polishing wheel, and the process is iterated repeatedly until the iteration condition is met, so as to obtain the machining modification coefficient and the corresponding indentation depth;根据所述加工修形系数和对应的压入深度计算对应的驻留时间分布,得到所述待加工元件的加工修形系数、对应的压入深度以及对应的驻留时间分布;Calculate the corresponding residence time distribution according to the machining modification coefficient and the corresponding indentation depth to obtain the machining modification coefficient, the corresponding indentation depth and the corresponding residence time distribution of the component to be machined;所述根据所述压入深度和去除函数构建磁流变加工抛光轮的压入深度与所述压入深度对应修形能力的映射关系,包括:The mapping relationship between the indentation depth of the magnetorheological polishing wheel and the shaping capability corresponding to the indentation depth is constructed according to the indentation depth and the removal function, including: ; ; ;其中,轴为磁流变加工抛光轮轴线方向,轴为磁流变加工抛光轮最低点切线方向,轴为磁流变加工抛光轮最低点法线方向,为磁流变加工抛光轮半径,为磁流变加工抛光轮最低点处的磁流变液缎带厚度,为磁流变加工抛光轮最低点处的压入深度,为待加工元件的面形方程,为去除函数强度,为去除函数的二维傅里叶变换,表示去除函数修形能力。in, The axis is the axis direction of the magnetorheological polishing wheel. The axis is the tangent direction of the lowest point of the magnetorheological polishing wheel. The axis is the normal direction of the lowest point of the magnetorheological polishing wheel. is the radius of the magnetorheological polishing wheel, is the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological polishing wheel, is the indentation depth at the lowest point of the magnetorheological polishing wheel, is the surface equation of the component to be processed, To remove the function intensity, To remove the function The two-dimensional Fourier transform of Indicates the removal of function shaping capability.2.根据权利要求1所述的变压深磁流变加工方法,其特征在于,所述根据所述初始修形系数将所述初始残余误差进行分解,得到至少两个子残留误差分布的计算公式,包括:2. The variable pressure deep magnetorheological machining method according to claim 1 is characterized in that the initial residual error is decomposed according to the initial modification coefficient to obtain a calculation formula for at least two sub-residual error distributions, including: ; ;其中,为当前磁流变加工点的初始残余误差,为初始修形系数。in, is the initial residual error of the current magnetorheological processing point, is the initial modification coefficient.3.根据权利要求2所述的变压深磁流变加工方法,其特征在于,所述构建磁流变加工抛光轮的压入深度与所述压入深度对应修形能力的映射关系,包括:3. The variable pressure deep magnetorheological machining method according to claim 2, characterized in that the mapping relationship between the indentation depth of the magnetorheological machining polishing wheel and the shaping ability corresponding to the indentation depth is constructed, comprising:定义所述磁流变加工抛光轮的压入深度;Defining the indentation depth of the magnetorheological polishing wheel;获取所述磁流变加工抛光轮的压入深度对应的去除函数;Obtaining a removal function corresponding to the indentation depth of the magnetorheological polishing wheel;根据所述压入深度和所述去除函数,构建磁流变加工抛光轮的压入深度与所述压入深度对应修形能力的映射关系。According to the indentation depth and the removal function, a mapping relationship between the indentation depth of the magnetorheological polishing wheel and the shaping capability corresponding to the indentation depth is constructed.4.根据权利要求2所述的变压深磁流变加工方法,其特征在于,所述迭代,包括:4. The variable pressure deep magnetorheological machining method according to claim 2, characterized in that the iteration comprises:根据迭代过程中修形系数和对应的压入深度对所述子残留误差分布进行加工仿真,得到仿真加工结果;Performing machining simulation on the sub-residual error distribution according to the modification coefficient and the corresponding indentation depth in the iteration process to obtain a simulation machining result;根据所述仿真加工结果计算所述子残留误差分布的均方根,建立所述子残留误差分布的适应性函数。The root mean square of the sub-residual error distribution is calculated according to the simulation processing result, and an adaptability function of the sub-residual error distribution is established.5.根据权利要求2所述的变压深磁流变加工方法,其特征在于,所述根据所述加工修形系数和对应的压入深度计算对应的驻留时间分布的计算公式,包括:5. The variable pressure deep magnetorheological machining method according to claim 2, characterized in that the calculation formula for calculating the corresponding residence time distribution according to the machining modification coefficient and the corresponding indentation depth includes:; ;其中,为当前磁流变加工点的残留误差,是积分变量,为当前磁流变加工点的去除函数,为当前磁流变加工点的驻留时间。in, is the residual error of the current magnetorheological processing point, and is the integration variable, is the removal function of the current magnetorheological processing point, is the residence time of the current magnetorheological processing point.6.根据权利要求4所述的变压深磁流变加工方法,其特征在于,所述迭代条件,包括:基于所述子残留误差分布的适应性函数,所述均方根满足预设范围。6. The variable pressure deep magnetorheological machining method according to claim 4 is characterized in that the iteration condition includes: an adaptability function based on the sub-residual error distribution, and the root mean square satisfies a preset range.7.一种变压深磁流变加工系统,其特征在于,所述系统包括:7. A variable pressure deep magnetorheological processing system, characterized in that the system comprises:获取模块,用于获取待加工元件的初始残余误差,并随机生成所述待加工元件的初始修形系数;An acquisition module, used for acquiring an initial residual error of a component to be processed, and randomly generating an initial modification coefficient of the component to be processed;分解模块,用于根据所述初始修形系数将所述初始残余误差进行分解,得到至少两个子残留误差分布,任意两个子残留误差分布的空间特征存在不同;A decomposition module, used for decomposing the initial residual error according to the initial modification coefficient to obtain at least two sub-residual error distributions, wherein the spatial characteristics of any two sub-residual error distributions are different;构建模块,用于构建磁流变加工抛光轮的压入深度与所述压入深度对应修形能力的映射关系,所述磁流变加工抛光轮用于加工所述待加工元件;A construction module is used to construct a mapping relationship between the indentation depth of a magnetorheological machining polishing wheel and the shaping capability corresponding to the indentation depth, wherein the magnetorheological machining polishing wheel is used to process the component to be processed;迭代模块,用于基于所述映射关系,将每一子残留误差分布与磁流变加工抛光轮的压入深度进行匹配,循环迭代,直至满足迭代条件,得到加工修形系数和对应的压入深度;An iteration module is used to match each sub-residual error distribution with the indentation depth of the magnetorheological polishing wheel based on the mapping relationship, and iterate cyclically until the iteration condition is met to obtain the machining modification coefficient and the corresponding indentation depth;计算模块,用于根据所述加工修形系数和对应的压入深度计算对应的驻留时间分布,得到所述待加工元件的加工修形系数、对应的压入深度以及对应的驻留时间分布;A calculation module, used for calculating the corresponding residence time distribution according to the machining modification coefficient and the corresponding indentation depth, and obtaining the machining modification coefficient, the corresponding indentation depth and the corresponding residence time distribution of the component to be processed;所述根据所述压入深度和去除函数构建磁流变加工抛光轮的压入深度与所述压入深度对应修形能力的映射关系,包括:The mapping relationship between the indentation depth of the magnetorheological polishing wheel and the shaping capability corresponding to the indentation depth is constructed according to the indentation depth and the removal function, including: ; ; ;其中,轴为磁流变加工抛光轮轴线方向,轴为磁流变加工抛光轮最低点切线方向,轴为磁流变加工抛光轮最低点法线方向,为磁流变加工抛光轮半径,为磁流变加工抛光轮最低点处的磁流变液缎带厚度,为磁流变加工抛光轮最低点处的压入深度,为待加工元件的面形方程,为去除函数强度,为去除函数的二维傅里叶变换,表示去除函数修形能力。in, The axis is the axis direction of the magnetorheological polishing wheel. The axis is the tangent direction of the lowest point of the magnetorheological polishing wheel. The axis is the normal direction of the lowest point of the magnetorheological polishing wheel. is the radius of the magnetorheological polishing wheel, is the thickness of the magnetorheological fluid ribbon at the lowest point of the magnetorheological polishing wheel, is the indentation depth at the lowest point of the magnetorheological polishing wheel, is the surface equation of the component to be processed, To remove the function intensity, To remove the function The two-dimensional Fourier transform of Indicates the removal of function shaping capability.8.一种电子设备,其特征在于:包括至少一个控制处理器和用于与所述至少一个控制处理器通信连接的存储器;所述存储器存储有可被所述至少一个控制处理器执行的指令,所述指令被所述至少一个控制处理器执行,以使所述至少一个控制处理器能够执行权利要求1至6任一项所述的一种变压深磁流变加工方法。8. An electronic device, characterized in that it includes at least one control processor and a memory for communicating with the at least one control processor; the memory stores instructions that can be executed by the at least one control processor, and the instructions are executed by the at least one control processor so that the at least one control processor can execute a variable pressure deep magnetorheological processing method as described in any one of claims 1 to 6.9.一种计算机可读存储介质,其特征在于:所述计算机可读存储介质存储有计算机可执行指令,所述计算机可执行指令用于使计算机执行权利要求1至6任一项所述的一种变压深磁流变加工方法。9. A computer-readable storage medium, characterized in that: the computer-readable storage medium stores computer-executable instructions, and the computer-executable instructions are used to enable a computer to execute a variable-pressure deep magnetorheological processing method as described in any one of claims 1 to 6.
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