US20160377382A1 - Digital sight for real-time position control of manually-portable mortar barrel - Google Patents

Abstract

Disclosed herein is a digital sight for a manually-portable shell-firing mortar. The digital sight includes a first accelerometer, a second accelerometer arranged perpendicular to the first accelerometer, a gyroscope arranged perpendicular to the first and second accelerometer, and a controller configured to calculate and display a re-firing direction varied from a primary-firing direction, using the first and second accelerometers and the gyroscope.

Description

CROSS REFERENCE TO RELATED APPLICATION(S)
• This application claims the priority of Korean Patent Application No. 10-2015-0091160, filed on Jun. 26, 2015, which is hereby incorporated by reference in its entirety into this application.
BACKGROUND OF THE INVENTION
• 1. Technical Field
• The present invention relates generally to a digital sight that provides information about firing directions of a manually-portable shell-firing mortar and, more particularly, to a low-cost digital sight that is capable of controlling a position of a barrel of a manually-portable shell-firing mortar (i.e. re-firing directions) in real time, using two accelerometers and one gyroscope.
• 2. Description of the Related Art
• As well known to those skilled in the art, before actual firing, a manually-portable weapon, such as mortar, generally goes through a preliminary firing procedure, including a primary firing stage and a secondary correcting firing stage. First, the primary firing stage requires a device for measuring azimuth and the angle of elevation, i.e. an initial angle, of a barrel of the mortar. Thereafter, the secondary correcting firing stage requires a device for determining a change in position of the barrel from the primary firing direction when collecting firing has been conducted. A compass is used for determination of the azimuth and the angle of elevation, the initial position, of the barrel, and an aiming post is used for correcting firing.
• Here, the aiming post for the correcting firing is used such that after it is put up on the ground, a viewer checks the direction of the firing while viewing the aiming post. Thus, the measurement may not be precise and may be affected by geographical features such as slopes and the like. Further, if the aiming post should be set up in the cold when the ground is frozen, set-up is difficult. Furthermore, if the ground has a topography that is difficult to set up the aiming post thereon, shell-firing cannot be carried out.
• Recently, a high-tech inertial sensor (three gyroscopes and three accelerometers) has been used to improve the precision of firing and provide operational convenience for a soldier. Particularly, a digital sight using an inertial sensor includes three gyroscopes and three accelerometers, which are disposed perpendicularly to each other so as to measure azimuth and the angle of elevation. However, such a sight using an inertial sensor is very expensive, and the weight and volume thereof are not suitable for a manually-portable shell-firing weapon such as a mortar.
• Therefore, a low-cost sight keeping gyroscopes and accelerometers at a minimum is required.
CITED DOCUMENTSPatent Document
• Korean Patent 1206601 B1
SUMMARY OF THE INVENTION
• Accordingly, the present invention has been made keeping in mind the above problems occurring in the prior art, and an object of the present invention is to provide a low-cost digital sight for a manually-portable shell-firing mortar, which has two accelerometers and one gyroscope, substituting an aiming post in a related art.
• In order to accomplish the above object, according to an embodiment, the present invention provides a digital sight for a manually-portable shell-filing mortar, including: a first accelerometer, a second accelerometer arranged perpendicular to the first accelerometer; a gyroscope arranged perpendicular to the first and second accelerometers; and a controller configured to calculate and display a re-firing direction varied from a primary-firing direction, using the first and second accelerometers and the gyroscope.
• The first and second accelerometers may be configured to measure acceleration of the mortar that is being rotated about one end of the mortar fixed to the ground when the mortar fires a shell.
• The gyroscope may be configured to enable the first and second accelerometers measuring the acceleration to be positioned perpendicular to the gyroscope when the mortar fires a shell.
• The controller may be configured to calculate the re-firing direction by calculating rotational displacement of the barrel using the measured acceleration.
• The controller may be configured to calculate the re-firing direction by calculating rotational displacement of the barrel using linear acceleration of the mortar obtained by gravity, high-frequency noise, and a shock applied to the mortar.
• The controller may include a gyro-signal processing board, a first accelerometer-signal processing board, a second accelerometer-signal processing board, a wired/wireless communication board, an antenna, and a central processing board.
• The acceleration (A) of the mortar may be calculated by following Equation:
• $A=\frac{\omega }{t}\times r+\omega \times \omega \times r+g$$a_x=r_z{\omega }_y^{\prime }-r_y{\omega }_z^{\prime }-\left({\omega }_y^2+{\omega }_z^2\right)r_x+{\omega }_x{\omega }_yr_y+{\omega }_z{\omega }_xr_z-g\cos \left(\theta \right)\sin \left(\gamma \right)$$a_y=-r_z{\omega }_x^{\prime }-r_x{\omega }_z^{\prime }-\left({\omega }_z^2+{\omega }_x^2\right)r_y+{\omega }_x{\omega }_yr_x+{\omega }_y{\omega }_zr_z+g\sin \left(\theta \right)$$a_z=r_y{\omega }_x^{\prime }-r_x{\omega }_y^{\prime }-\left({\omega }_x^2+{\omega }_y^2\right)r_z+{\omega }_z{\omega }_xr_x+{\omega }_y{\omega }_zr_y+g\cos \left(\theta \right)\cos \left(\gamma \right)$
• where A is an acceleration vector of the mortar, expressed by A=[a_x, a_y, a_z]^T.
• The rotational displacement of the mortar calculated using the measured acceleration of the mortar may be calculated by following Equation:
• $\stackrel{.}{\theta }=\cos \left(\gamma \right){\omega }_x+\sin \left(\gamma \right){\omega }_z$$\stackrel{.}{\gamma }={\omega }_y-\tan \left(\theta \right)\cos \left(\gamma \right){\omega }_z+\tan \left(\theta \right)\sin \left(\gamma \right){\omega }_x$$\stackrel{.}{\psi }=\frac{\cos \left(\gamma \right)}{\cos \left(\theta \right)}{\omega }_z-\frac{\sin \left(\gamma \right)}{\cos \left(\theta \right)}{\omega }_x.$
• According to the digital sight for a manually-portable shell-firing mortar, upon correcting firing of the mortar, firing precision may be improved and easy manipulation may be ensured.
BRIEF DESCRIPTION OF THE DRAWINGS
• The above and other objects, features and advantages of the present invention will be more clearly understood from the following detailed description taken in conjunction with the accompanying drawings, in which:
• FIG. 1 is a perspective view of a digital sight for a manually-portable shell-firing mortar according to an embodiment of the present invention;
• FIG. 2 is an exploded perspective view of the digital sight for a manually-portable shell-firing mortar;
• FIG. 3 is a conceptual view showing the operational principle of the digital sight using a fixed coordinate system; and
DESCRIPTION OF THE PREFERRED EMBODIMENTS
• It should be noted that the technical terms used herein is for the purpose of describing particular embodiments only and is not intended to limit the invention. Unless otherwise defined, the meaning of all terms used herein is the same as that commonly understood by one of ordinary skill in the art to which the present invention belongs, so that they will not be interpreted in an idealized or overly formal sense unless expressly so defined herein. The accompanying drawings are merely provided for the purpose of easily understanding the technical idea disclosed in the specification. Thus, the technical idea is not limited to the accompanying drawings, but should be understood such that the technical idea includes all of variations, equivalents, and substitutes included in the technical spirit and scope disclosed in the specification.
• A description will now be made in detail of a digital sight for a manually-portable shell-firing mortar according to an embodiment of the present invention with reference to the accompanying drawings.
• FIG. 1 is a perspective view of a digital sight for a manually-portable shell-firing mortar according to an embodiment of the present invention.FIG. 2 is an exploded perspective view of the digital sight for a manually-portable shell-firing mortar,FIG. 3 is a conceptual view showing the operational principle of the digital sight using a fixed coordinate system.
• Referring toFIGS. 1 to 4, the digital sight for a manually-portable shell-firing mortar includes a first accelerometer100. a second accelerometer200, agyroscope300, and a controller400.
• The first accelerometer100 is arranged perpendicular to the second accelerometer200. More particularly, the first accelerometer100 is arranged perpendicular to the second accelerometer200 so dun the first accelerometer can measure acceleration of the mortar10 that is rotated about one end11 thereof fixed to the ground when the mortar fires a shell. That is, the first accelerometer100 can measure acceleration of the digital sight1 because the digital sight is mounted to and simultaneously rotates with the mortar that is rotated about one end11 fixed to the ground when the mortar fires a shell. Here, one end11 of the mortar may be positioned at the origin31 of an xyzmotion coordinate system30.
• The second accelerometer200 is arranged perpendicular to the first accelerometer100. More particularly, the second accelerometer200 is arranged perpendicular to the first accelerometer100 so that the second accelerometer can measure acceleration of the mortar10 that is rotated about one end11 thereof fixed to the ground when the mortar fires a shell. That is, the second accelerometer200 can measure acceleration of the digital sight1 because the digital sight is mounted to and simultaneously rotates with the mortar that is rotated about one end11 fixed to the ground when the mortar fires a shell. Here, one end11 of die mortar may be positioned at the origin31 of an xyzmotion coordinate system30. Further, also referring toFIG. 3, a plane [x(ax)-y(ay) plane] that is defined by the first and second accelerometers100 and200 arranged perpendicular to each other may be a plane that is perpendicular to a position vector (r)50 of the digital sight with reference to themotion coordinate system30.
• Thegyroscope300 is arranged perpendicular to the first and second accelerometers100 and200. More particularly, thegyroscope300 is configured to enable the first and second accelerometers100 and200 measuring the acceleration of the mortar to be positioned perpendicular to thegyroscope300 when the mortar fires a shell. That is, when rotational displacement of the mortar is calculated using the acceleration of the mortar when the mortar fires a shell, the rotational displacement is obtained with the first and second accelerometers100 and200 positioned perpendicular to thegyroscope300 by the operation of thegyroscope300.
• The controller400 is configured to calculate and display a re-firing direction varied from a primary-firing direction, using the first and second accelerometers100 and200 and thegyroscope300. More particularly, the controller400 may calculate die re-firing direction of the mortar by calculating the rotational displacement of the mortar using the acceleration of the mortar, i.e. the acceleration of the digital sight1 mounted to the mortar, measured by the first and second accelerometers100 and200, which are positioned perpendicular to thegyroscope300 with the action of thegyroscope300, when the mortar fires a shell. Here, the controller400 may calculate the re-firing direction of the mortar by calculating linear acceleration of the mortar obtained in response to gravity, high-frequency noise, and a shock applied to the mortar10, i.e. those applied to the digital sight1 mounted to the mortar.
• Here, the controller400 may include a gyro-signal processing board410, a first accelerometer-signal processing board420, a second accelerometer-signal processing board430, a wired/wireless communication board440, anantenna450, and a central processing board460.
• Thegyroscope300 may be mounted to the gyro-signal processing board410 such that diegyroscope300 is arranged perpendicular to the first and second accelerometers100 and200. The first accelerometer100 may be mounted to the first accelerometer-signal processing board420 such that the first accelerometer100 is arranged perpendicular to the second accelerometer200. The second accelerometer200 may be mounted to the second accelerometer-signal processing board430 such that the second accelerometer200 is arranged perpendicular to the first accelerometer100. The wired/wireless communication board440 may communicate with the exterior using theantenna450. The central processing board460 may calculate the re-firing direction of the mortar by calculating the rotational displacement of the mortar using the acceleration of the mortar measured by the first and second accelerometers100 and200, which are positioned perpendicular to thegyroscope300 with the action of thegyroscope300, when the mortar fires a shell.
• A description will now be made in detail of the calculation of the re-firing direction using the digital sight for a manually-portable shell-firing mortar with reference to the accompanying drawings.
• Referring toFIG. 2, an XYZ coordinate system20 is a fixed frame having the origin (O)21, and an xyz coordinatesystem30 is a moving frame having the rotational origin (o)31. Further, a vector (R)40 is a position vector of the xyz coordinatesystem30 about theorigin21 of the XYZ coordinate system20. Further, a vector (r)50 is a position vector of the digital sight1 about the rotational origin31 of the xyz coordinatesystem30. Further, a vector (w)60 is a rotation vector of the xyz coordinatesystem30.
• Here, acceleration (A) of the digital sight1 in the xyz coordination system20 can be expressed by following Equation 1:
• $\begin{array}{cc}A=\frac{{}^2R}{t^2}+\left(\frac{{}^2r}{t^2}+\omega \times \frac{r}{t}\right)+\left[\frac{\omega }{t}\times r+\omega \times \left(\frac{r}{t}+\omega \times r\right)\right]+g& \mathrm{Equation}1\end{array}$
• Here, (A) is an acceleration vector of the mortar, expressed by A=[a_x, a_y, a_z]^T, (w)60 is a rotation vector of the mortar on the moving frame, expressed by w=[w_x, w_y, w_z]^T. (r)50 is a position vector of the digital sight on the moving frame, expressed by r=[r_x, r_y, r_z]^T, and g is a gravity vector (gravity acceleration), expressed by g=[g_x, g_y, g_z]^T.
• Here, since the shell-firing mortar is not moved, and the digital sight1 is fixed in the xyz coordinatesystem30, d²R/dt², d²r/dt², and dr/dt do not exist. Then. Equation 1 can be expressed as follows:
• $\begin{array}{cc}A=\frac{\omega }{t}\times r+\omega \times \omega \times r+g& \mathrm{Equation}2\end{array}$
• Equation 2 can be specifically expressed as follows:
• $\begin{array}{cc}\left[\begin{array}{c}{a}_x\\ a_y\\ a_z\end{array}\right]=\left[\begin{array}{ccc}0& {\mathrm{–\omega }}_z^{\prime }& {\omega }_y^{\prime }\\ {\omega }_z^{\prime }& 0& {\mathrm{–\omega }}_x^{\prime }\\ {\mathrm{–\omega }}_y^{\prime }& {\omega }_x^{\prime }& 0\end{array}\right]\left[\begin{array}{c}{r}_x\\ r_y\\ r_z\end{array}\right]+\hspace{1em}\left[\begin{array}{ccc}{\mathrm{–\omega }}_y^2{\mathrm{–\omega }}_z^2& {\omega }_x{\omega }_y& {\omega }_z{\omega }_x\\ {\omega }_x{\omega }_y& {\mathrm{–\omega }}_z^2{\mathrm{–\omega }}_x^2& {\omega }_y{\omega }_z\\ {\omega }_z{\omega }_x& {\omega }_y{\omega }_z& {\mathrm{–\omega }}_x^2{\mathrm{–\omega }}_y^2\end{array}\right]\left[\begin{array}{c}{r}_x\\ r_y\\ r_z\end{array}\right]+\left[\begin{array}{c}{g}_x\\ g_y\\ g_z\end{array}\right]& \mathrm{Equation}3\end{array}$
• Equation 3 can be specifically expressed as follows:
• $\begin{array}{cc}\left[\begin{array}{c}{a}_x\\ a_y\\ a_z\end{array}\right]=\left[\begin{array}{ccc}0& r_z& {\mathrm{–r}}_y\\ {\mathrm{–r}}_z& 0& r_x\\ r_y& {\mathrm{–r}}_x& 0\end{array}\right]\left[\begin{array}{c}{\omega }_x^{\prime }\\ {\omega }_y^{\prime }\\ {\omega }_z^{\prime }\end{array}\right]+\hspace{1em}\left[\begin{array}{ccc}{\mathrm{–\omega }}_y^2{\mathrm{–\omega }}_z^2& {\omega }_x{\omega }_y& {\omega }_z{\omega }_x\\ {\omega }_x{\omega }_y& {\mathrm{–\omega }}_z^2{\mathrm{–\omega }}_x^2& {\omega }_y{\omega }_z\\ {\omega }_z{\omega }_x& {\omega }_y{\omega }_z& {\mathrm{–\omega }}_x^2{\mathrm{–\omega }}_y^2\end{array}\right]\left[\begin{array}{c}{r}_x\\ r_y\\ r_z\end{array}\right]+\left[\begin{array}{c}{g}_x\\ g_y\\ g_z\end{array}\right]& \mathrm{Equation}4\end{array}$
• Equation 4 has “C” that satisfies following Equation 5, angular acceleration can be calculated using acceleration measured by the first and second accelerometers100 and200, and thus angular acceleration of the digital sight mounted to the mortar can be obtained by integrating the former angular acceleration.
• $\begin{array}{cc}\left[\begin{array}{c}{\omega }_x^{\prime }\\ {\omega }_y^{\prime }\\ {\omega }_z^{\prime }\end{array}\right]={\left(C\left[\begin{array}{ccc}0& r_z& {\mathrm{–r}}_y\\ {\mathrm{–r}}_z& 0& r_z\\ r_y& {\mathrm{–r}}_x& 0\end{array}\right]\right)}^{-1}C(\left[\begin{array}{c}{a}_x\\ a_y\\ a_z\end{array}\right]-\hspace{1em}\left[\begin{array}{ccc}{\mathrm{–\omega }}_y^2{\mathrm{–\omega }}_z^2& {\omega }_x{\omega }_y& {\omega }_z{\omega }_x\\ {\omega }_x{\omega }_y& {\mathrm{–\omega }}_z^2{\mathrm{–\omega }}_x^2& {\omega }_y{\omega }_z\\ {\omega }_z{\omega }_x& {\omega }_y{\omega }_z& {\mathrm{–\omega }}_x^2{\mathrm{–\omega }}_y^2\end{array}\right]\left[\begin{array}{c}{r}_x\\ r_y\\ r_z\end{array}\right]-\left[\begin{array}{c}{g}_x\\ g_y\\ g_z\end{array}\right])& \mathrm{Equation}5\end{array}$
• However, “C” for satisfying Equation 5 can exclude an orthogonal structure of the first and second accelerometers This causes a problem that an existing product having a common orthogonal structure cannot be used.
• Equation 4 can be expressed in a different form by Equation 6:
• 
  Equation 6
• 
  a_x=r_zω_y^′−r_yω_z^′−(Ω_y²+Ω_z²)r_x+ω_xω_yr_y+ω_zω_xr_z−gcos(θ)sin(γ)
• 
  a_y=−r₂ω_x^′+r_xω_y^′−(ω_x²+ω_y²)r_z+ω_zω_xr_x+ω_yω_zr_y+gcos(θ)cos(γ)
• 
  a_z=r_yω_x^′−r_xω_y^′−(ω_x²+ω_y²)r_z+ω_zωxr_x+ω_yω_zr_y+gcos(θ)cos(γ)
• Here, ax, ay, and az are respective vector components of a vector of acceleration (A) of the mortar, g is gravity acceleration, and θ is a pitch angle of the mortar, and γ is a roll angle of the mortar.
• Here, since an axis, e.g. wz, can be measured by thegyroscope300, first and second terms of Equation 6 can be re-expressed by Equation 7:
• $\begin{array}{cc}{\omega }_x^{\prime }=\frac{g}{r_z}\sin \left(\theta \right)+[-a_y+r_x{\omega }_z^{\prime }-\hspace{1em}\left({\omega }_z^2+{\omega }_x^2\right)r_y+{\omega }_x{\omega }_yr_x+{\omega }_y{\omega }_zr_z]/r_{z}{\omega }_y^{\prime }=\frac{g}{r_z}\cos \left(\theta \right)\sin \left(\gamma \right)+[a_x+r_y{\omega }_z^{\prime }+\left({\omega }_y^2+{\omega }_z^2\right)r_x-{\omega }_x{\omega }_yr_y-{\omega }_z{\omega }_xr_z]/r_{z}& \mathrm{Equation}7\end{array}$
• Since wz-related terms are measured in Equation 7, if an initial value of the right side of Equation 7 is known, wx and wy can be obtained. That is, a position of a barrel of the mortar can be obtained by following Equation 8:
• $\begin{array}{cc}\stackrel{.}{\theta }=\cos \left(\gamma \right){\omega }_x+\sin \left(\gamma \right){\omega }_z\stackrel{.}{\gamma }={\omega }_y-\tan \left(\theta \right)\cos \left(\gamma \right){\omega }_z+\tan \left(\theta \right)\sin \left(\gamma \right){\omega }_x\stackrel{.}{\psi }=\frac{\cos \left(\gamma \right)}{\cos \left(\theta \right)}{\omega }_z-\frac{\sin \left(\gamma \right)}{\cos \left(\theta \right)}{\omega }_x.& \mathrm{Equation}8\end{array}$
• Here, {dot over (Θ)} is a current pitch angle, {dot over (γ)} is a current roll angle of the mortar, and {dot over (Ψ)} is a current yaw angle of the mortar. Further, θ is an initial pitch angle of the mortar, γ is an initial roll angle of the mortar, and Ψ is an initial yaw angle of the mortar.
• Although the preferred embodiments of the present invention have been disclosed for illustrative purposes, those skilled in the art will appreciate that various modifications, and substitutions are possible, without departing from the scope and spirit of the invention as disclosed in the accompanying claims.

Claims (5)

What is claimed is:

1. A digital sight for a manually-portable shell-firing mortar, comprising:

a first accelerometer;

a second accelerometer arranged perpendicular to the first accelerometer;

a gyroscope arranged perpendicular to the first and second accelerometers; and

a controller configured to calculate and display a re-firing direction varied from a primary-firing direction, using the first and second accelerometers and the gyroscope,

wherein the first and second accelerometers are configured to measure acceleration of the mortar that is being rotated about one end of the mortar fixed to the ground when the mortar fires a shell.

2. The digital sight for a manually-portable shell-firing mortar according toclaim 1, wherein the gyroscope is configured to enable the first and second accelerometers measuring the acceleration to be positioned perpendicular to the gyroscope when the mortar fires a shell.

3. The digital sight for a manually-portable shell-firing mortar according toclaim 1, wherein the controller is configured to calculate the re-firing direction by calculating rotational displacement of the barrel using the measured acceleration.

4. The digital sight for a manually-portable shell-firing mortar according toclaim 1, wherein the controller is configured to calculate the re-firing direction by calculating rotational displacement of the barrel using linear acceleration of the mortar obtained by gravity, high-frequency noise, and a shock applied to the mortar.

5. The digital sight for a manually-portable shell-firing mortar according toclaim 1, wherein the controller comprises a gyro-signal processing board, a first accelerometer-signal processing board, a second accelerometer-signal processing hoard, a wired/wireless communication board, an antenna, and a central processing board.

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