Projectile dynamic rotation effect calculation method, device and system and storage medium

Abstract

The invention discloses a projectile dynamic rotation effect calculation method, device and system and a storage medium, and the method comprises the steps: S1, applying current to an inner electromagnetic track and an outer electromagnetic track, and calculating an electromagnetic force generated by an armature which is integrally designed with a projectile through an electromagnetic module; s2, according to the electromagnetic force, calculating the displacement of the translational motion of the armature through a solid mechanical model; s3, calculating the rotational inertia of the armature according to the armature structure, and calculating the angular acceleration and angular velocity of the armature according to the torque generated on the armature under the driving of the electromagnetic force; and S4, according to the displacement, the rotational inertia, the angular acceleration and the angular velocity of the translational motion of the armature, realizing the rotation emission visualization of the armature through a dynamic grid technology by utilizing virtual deformation. According to the technical scheme, the electromagnetic force generated by the armature drives the projectile to rotate in the chamber, separation of the armature and the projectile is avoided, and therefore the launching performance is optimized.

Description

Technical Field

[0001] The present invention belongs to the technical field of electromagnetic railguns, and particularly relates to a method and device, system, and storage medium for calculating the dynamic rotation effect of projectiles. Background Art

[0002] Electromagnetic launch can break through the energy and speed limits of traditional launch methods and is a new type of launch method. It has significant advantages such as high launch kinetic energy, high system efficiency, high launch frequency, fast startup time, strong continuous launch ability, and strong load adjustability, and will surely become a new launch technology to replace traditional mechanical energy launch and chemical energy launch.

[0003] An electromagnetic railgun mainly consists of metal rails, an armature, a projectile, and a high-power pulsed power supply. The armature is clamped between two parallel aluminum rails and is in close contact with the two rails. The projectile is placed at the front end of the armature. After the power is turned on, the current flows along one of the rails, passes through the armature, and returns along the other rail. The electromagnetic force generated by the interaction between the magnetic field generated by the current flowing through the rails and the current flowing through the armature is used to accelerate the projectile and launch the projectile. However, at present, there are problems that the projectile in the electromagnetic railgun cannot rotate at high speed and the armature and the projectile separate after exiting. Summary of the Invention

[0004] The technical problem to be solved by the present invention is to provide a method and device, system, and storage medium for calculating the dynamic rotation effect of projectiles.

[0005] To achieve the above object, the present invention adopts the following technical solutions: A method for calculating the dynamic rotation effect of a projectile, comprising: Step S1, applying current to the inner and outer electromagnetic rails, and calculating the electromagnetic force generated by the armature integrally designed with the projectile through an electromagnetic module; the electromagnetic field control method used by the electromagnetic module is the H method; Step S2, calculating the displacement of the translational motion of the armature according to the electromagnetic force through a solid mechanics model; Step S3, calculating the moment of inertia of the armature according to the armature structure, and calculating the angular acceleration and angular velocity of the armature according to the torque generated on the armature under the drive of the electromagnetic force; Step S4, using virtual deformation to realize the visualization of the rotational launch of the armature through a dynamic mesh technique.

[0006] Preferably, in step S4, it is assumed that the inner and outer electromagnetic rails undergo controllable virtual deformation, the rear rail is subjected to tensile deformation, and the front rail is subjected to compressive deformation, so as to equivalently realize the translational motion of the armature.

[0007] Preferably, by setting the co-rotation of the inner and outer electromagnetic rails, the air domain, and the armature, the calculation domain is kept rotating synchronously with the armature to realize the calculation of the dynamic rotation effect of the armature.

[0008] The present invention also provides a device for calculating the dynamic rotation effect of a projectile, comprising: A first calculation module, configured to apply current to the internal and external electromagnetic rails, and calculate the electromagnetic force generated by the armature integrally designed with the projectile through the electromagnetic module; A second calculation module, configured to calculate the displacement of the translational motion of the armature through a solid mechanics model according to the electromagnetic force; A third calculation module, configured to calculate the moment of inertia of the armature according to the armature structure, and calculate the angular acceleration and angular velocity of the armature according to the torque generated on the armature under the drive of the electromagnetic force; A fourth calculation module, configured to use virtual deformation to realize the visualization of the rotational launch of the armature through the dynamic mesh technology.

[0009] The present invention also provides a system for calculating the dynamic rotation effect of a projectile, comprising: a memory and a processor, wherein a computer program is stored on the memory and run by the processor, and the computer program executes the method for calculating the dynamic rotation effect of the projectile when run by the processor.

[0010] The present invention also provides a storage medium, on which a computer program is stored, and the computer program executes the method for calculating the dynamic rotation effect of the projectile when running.

[0011] The present invention adopts an integrated design of the armature and the projectile, and drives the projectile to rotate in the barrel through the electromagnetic force generated by the armature, avoiding the separation of the armature and the projectile, thereby optimizing the launch performance. BRIEF DESCRIPTION OF THE DRAWINGS

[0012] In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings required for the description of the embodiments or the prior art. Obviously, the drawings in the following description are only the embodiments of the present invention. For those of ordinary skill in the art, other drawings can be obtained according to the provided drawings without creative efforts.

[0013] Figure 1 It is a flowchart of the method for calculating the dynamic rotation effect of the projectile in the embodiment of the present invention. DETAILED DESCRIPTION OF THE EMBODIMENTS

[0014] The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, rather than all the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts belong to the scope of protection of the present invention.

[0015] In order to make the above-mentioned objects, features and advantages of the present invention more obvious and easy to understand, the present invention is further described in detail below with reference to the accompanying drawings and specific embodiments.

[0016] Embodiment 1: like Figure 1 As shown, an embodiment of the present invention provides a method for calculating the dynamic rotation effect of a projectile, comprising: Step S1: applying current to the inner and outer electromagnetic tracks, and calculating the electromagnetic force generated by the armature integrated with the projectile through the electromagnetic module; Step S2: Calculate the displacement of the armature translational motion using a solid mechanics model based on the electromagnetic force; Step S3: Calculate the moment of inertia of the armature according to the armature structure, and calculate the angular acceleration and angular velocity of the armature according to the torque generated on the armature under the drive of the electromagnetic force; Step S4: Using virtual deformation and dynamic mesh technology to realize armature rotation emission visualization.

[0017] As an implementation method of an embodiment of the present invention, in step S1, the electromagnetic field control method used by the electromagnetic module is the H method, and the H magnetic induction intensity vector is used as the dependent variable solved by the electromagnetic module as the basic quantity constraining the electromagnetic module. This method can effectively improve the speed and accuracy of the simulation process.

[0018] The following is the derivation of the H-method governing equations: First, the Ampere circuit law (1) in Maxwell's equations is combined with Faraday's law of electromagnetic induction (2) and Ohm's law (3): (1) (2) (3) in, is the differential operator, t is the time, is the resistivity of the conductor, is the magnetic field strength vector, E is the electric field strength, is the magnetic induction intensity, For the conduction current, we can get: (4) Substitute into the electromagnetic constitutive equation: (5) in, and denote the vacuum permeability and relative permeability, respectively, and From this we can get the H method governing equation: (6) Equation (6) is the vector form of the control equation of the H method for electromagnetic field simulation calculation, which can be converted into scalar form as follows: (7) (8) (9) Equations (7), (8), and (9) are the H-method control equations respectively. , , scalar form in the direction, where They represent the components of the magnetic induction intensity vector H in the x, y, and z directions respectively.

[0019] The control equations of the H method are relatively simple and do not require the introduction of any specifications to ensure the uniqueness of the solution. In addition, the number of variables to be solved is small, which can increase the speed of model calculation and reduce the complexity of model setting.

[0020] According to our known vacuum permeability By substituting the resistivity of each material in the model into the H method control equation, the distribution of H at each location in the electromagnetic module can be calculated; and then using formulas (1) and (4) to calculate the corresponding current density J and magnetic induction intensity B.

[0021] During an electromagnetic railgun launch, the spatial distribution of the electromagnetic force acting on the armature has a critical influence on the projectile's dynamic behavior, directly determining the evolution of the armature's axial translational velocity and angular velocity. To accurately characterize the mechanism by which the electromagnetic force distribution influences the armature's motion characteristics, a coupled-field analysis method based on the finite element method can be employed. The electromagnetic field calculation module uses a generalized pull-up operator to map the time-varying electromagnetic force density to the body loads in the mechanics module, thereby achieving a bidirectional coupled solution for the electromagnetic force multi-physics field. This numerical method effectively accounts for the localized stress concentration caused by the nonuniform electromagnetic force distribution within the armature.

[0022] During the electromagnetic gun launch process, electromagnetic force is the main driving force of the electromagnetic gun movement. The electromagnetic force equation is as follows: (10) Where F represents the electromagnetic force, Represent the components of current density J in the x, y, and z directions respectively, Represent the components of the magnetic induction intensity B in the x, y, and z directions respectively, represent the unit vectors in the x, y, and z directions respectively; the current density J and magnetic induction intensity B obtained from the subsequent H-method control equation can be used to obtain the distribution of the electromagnetic force received on the armature.

[0023] As an implementation method of an embodiment of the present invention, in step S2, the stress balance equation indicates that the sum of all forces (including inertial forces) acting on an object is zero, and any part of the structure is in equilibrium. The solid mechanics module uses the stress balance equation to calculate the displacement of the armature in all directions. The formula is as follows: (11) (12) in, is the density; is the volume force; is the displacement vector; , , Respectively , , Displacement in direction, Represents body force Components in the x, y, and z directions; Represents the stress in Normal stress in direction; , where i and j are 1, 2, and 3, indicating the effect on On the surface perpendicular to the direction Shear stress in the direction, is the stress tensor, In the rectangular coordinate system direction.

[0024] At the same time, in order to ensure that the track does not move during the launch process, fixed constraints are imposed on the boundaries of the track, and the projectile is set not to move in the r direction.

[0025] Use "Generalized Stretch" to map the electromagnetic body force obtained by the electromagnetic module into the body force in the stress balance equation (11) , while introducing the known density At the same time, according to the geometric equation (13) and the constitutive equation (14), the displacement of the armature in the model can be obtained.

[0026] (13) (14) in represents strain, C represents elastic tensor, : represents double dot product operation, Represents the displacement vector.

[0027] The torque on the armature during the launch process is calculated using the electromagnetic force of the electromagnetic module: (15) (16) Among them, is the torque of the armature in the Z direction, , V represents the volume domain of the armature, represents the spatial coordinate components of the microelement on the armature in the rectangular coordinate system.

[0028] From the rotation formula (17) (18) (19) Among them, are respectively the moment of inertia, angular acceleration and angular velocity of the armature in the Z direction; x, y are the coordinates of the mass microelement dm in the XY plane; dm is the mass microelement. The moment of inertia in the z direction is calculated according to the geometric model of the armature, and then the angular acceleration and angular velocity of the armature are obtained by combining equations (15)-(19).

[0029] During modeling, copper tracks and aluminum projectiles were selected, and their material parameters are as shown in (Table 1). In the electromagnetic module, an air domain was filled around the tracks and the armature to ensure that the electromagnetic field distribution is the same as the actual situation.

[0030] Table 1:

[0031] In this electromagnetic railgun simulation model, for the tracks and the armature, the present invention embodiment sets a generalized stretch to map the electromagnetic force to the solid mechanics module. Specifically: by defining a point-to-point mapping (i.e., a stretch operator), a set of target points is associated with a set of source points to achieve coupled calculation. Once the stretch operator establishes the mapping, the same operator can be used to access all the variables defined at the source from the target. At the same time, since the armature rotates in the present invention embodiment, the angular velocity also needs to be considered in the mapping. From the source mapping in the electromagnetic module , it is mapped to the solid mechanics model , where a, b, c respectively represent the coordinate positions of each point in the electromagnetic module in the x, y, z directions, represents the magnitude of the angular velocity of the armature rotating around the Z axis.

[0032] Then, the dependent variable calculated by the solid mechanics model is substituted into the electromagnetic module: the displacement of each point on the armature in the z direction of translation is calculated and then averaged and substituted into the dynamic mesh module of the electromagnetic module to complete the multi-field coupling of the electromagnetic force and realize the visual rotation and launch of the armature during the electromagnetic launch process.

[0033] As an implementation manner of an embodiment of the present invention, in step S4, a complex moving boundary problem is simplified by introducing an assumption of track deformation. Specifically, during the electromagnetic field calculation, it is assumed that controllable virtual deformations occur in the inner and outer electromagnetic tracks, where tensile deformation is applied to the rear track and compressive deformation is applied to the front track, thereby equivalently realizing the translational motion of the armature. At the same time, by establishing a co-rotating coordinate system for the track-air domain, the entire track, air domain, and armature are kept rotating synchronously. This effectively avoids using moving grids and consistent boundaries to handle the continuity of boundary physical quantities, can improve the convergence and calculation speed of the model calculation, and ensures the accuracy of the calculation results.

[0034] Embodiment 2: The embodiment of the present invention further provides a device for calculating the dynamic rotation effect of a projectile, including: A first calculation module, configured to apply current to the inner and outer electromagnetic tracks, and calculate the electromagnetic force generated by the armature integrated with the projectile through an electromagnetic module; A second calculation module, configured to calculate the displacement of the translational motion of the armature through a solid mechanics model according to the electromagnetic force; A third calculation module, configured to calculate the moment of inertia of the armature according to the armature structure, and calculate the angular acceleration and angular velocity of the armature according to the torque generated on the armature under the drive of the electromagnetic force; A fourth calculation module, configured to use virtual deformation to realize the visualization of the rotational launch of the armature through a dynamic mesh technology.

[0035] Embodiment 3: The embodiment of the present invention further provides a system for calculating the dynamic rotation effect of a projectile, including: a memory and a processor, where a computer program run by the processor is stored on the memory, and the computer program, when run by the processor, executes the method for calculating the dynamic rotation effect of the projectile.

[0036] Embodiment 4: The embodiment of the present invention further provides a storage medium, where a computer program is stored on the storage medium, and the computer program, when running, executes the method for calculating the dynamic rotation effect of the projectile.

[0037] The above-described embodiments are only descriptions of the preferred embodiments of the present invention, and do not limit the scope of the present invention. Without departing from the design spirit of the present invention, various deformations and improvements made by those of ordinary skill in the art to the technical solutions of the present invention shall fall within the protection scope determined by the claims of the present invention.

Claims

1. A method for calculating the dynamic rotation effect of a projectile, characterized in that, Including: Step S1: Apply current to the internal and external electromagnetic tracks, and calculate the electromagnetic force generated by the armature integrated with the projectile through the electromagnetic module; The electromagnetic field control method used by the electromagnetic module is the H method; Step S2: Calculate the displacement of the translational motion of the armature through the solid mechanics model according to the electromagnetic force; Step S3: Calculate the moment of inertia of the armature according to the armature structure, and calculate the angular acceleration and angular velocity of the armature according to the torque generated by the electromagnetic force on the armature; Step S4: Use virtual deformation to realize the visualization of the rotational launch of the armature through the dynamic mesh technology.

2. The method for calculating the dynamic rotation effect of a projectile according to claim 1, wherein In Step S4, it is assumed that the internal and external electromagnetic tracks undergo controllable virtual deformation, the rear track is subjected to tensile deformation, and the front track is subjected to compressive deformation to equivalently realize the translational motion of the armature.

3. The method for calculating the dynamic rotation effect of a projectile according to claim 2, wherein, By setting the co-rotation of the internal and external electromagnetic tracks, the air domain, and the armature, the computational domain is kept rotating synchronously with the armature to realize the calculation of the dynamic rotational effect of the armature.

4. A device for calculating the dynamic rotation effect of a projectile, characterized in that, Including: The first calculation module is used to apply current to the internal and external electromagnetic tracks and calculate the electromagnetic force generated by the armature integrated with the projectile through the electromagnetic module; The second calculation module is used to calculate the displacement of the translational motion of the armature through the solid mechanics model according to the electromagnetic force; The third calculation module calculates the moment of inertia of the armature according to the armature structure, and calculates the angular acceleration and angular velocity of the armature according to the torque generated by the electromagnetic force on the armature; The fourth calculation module uses virtual deformation to realize the visualization of the rotational launch of the armature through the dynamic mesh technology.

5. A projectile dynamic rotation effect calculation system, characterized in that, Including: A memory and a processor, wherein a computer program is stored on the memory and run by the processor, and the computer program, when run by the processor, executes the method for calculating the dynamic rotational effect of the projectile as described in any one of claims 1-3.

6. A storage medium, characterized in that, A computer program is stored on the storage medium, and the computer program, when running, executes the method for calculating the dynamic rotational effect of the projectile as described in any one of claims 1-3.

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