Enhanced electromagnetic track finite element simulation method, device and system and storage medium
Through the enhanced electromagnetic track finite element simulation method, the contact resistance is simulated using the weak contribution form, and a force-electromagnetic multi-physical field coupling model is established, which solves the problem of the contact resistance reduction performance of traditional electromagnetic track emitters, and achieves efficient system performance evaluation.
Patent Information
- Application Number
- CN202510174024.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-02-18
- Publication Date
- 2025-04-08
- Estimated Expiration
- 2045-02-18
AI Technical Summary
When traditional electromagnetic track transmitters slide contact at high speeds, the contact resistance will reduce system performance and efficiency, and the calculation complexity is high, making it difficult to evaluate the effect of the plane-enhanced electromagnetic track model.
The enhanced electromagnetic track finite element simulation method is adopted to generate electromagnetic force at the initial position by the electromagnetic module, and the weak contribution form of contact resistance is used for simulation, and the armature is obtained by the mechanical module to obtain acceleration and velocity on the track. The electromagnetic module controls the armature displacement through the moving grid to establish a force-electromagnetic multiphysics coupling model.
The calculation complexity is reduced, a simulation model of planar enhanced electromagnetic tracks is established, and the enhancement effect of parallel enhanced tracks is quantitatively evaluated, improving system performance and efficiency.
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Figure CN119783472A_ABST
Abstract
Description
Technical Field
[0001] The present invention belongs to the field of electromagnetic launch technology, and in particular relates to an enhanced electromagnetic track finite element simulation method and device, system, and storage medium. Background Art
[0002] The electromagnetic railgun is a device that uses electromagnetic force to accelerate projectiles. It has the advantages of high initial velocity, long range, great power, low cost, strong strike capability, and sustainable launch. It also has multiple missions such as long-range precision strikes on land and sea, medium and long-range air defense and anti-missile, and anti-aircraft carrier. Because it completely relies on ultra-large-scale electromagnetic energy to launch and carry kinetic energy to kill, it can achieve destruction upon hit and form an effective deterrent. It is hailed as another innovation in the field of weapons.
[0003] The electromagnetic railgun consists of two parallel rails and an armature that slides along the axis of the rails. The armature generates a very high speed during the launch process. The electromagnetic field and the structural mechanics field in the electromagnetic rail launcher are coupled to each other, which puts the projectile in an extreme multi-field operating environment. When a large current is passed through the track, the contact resistance between the armature and the track will reduce the performance and efficiency of the electromagnetic rail propulsion system. At the same time, during the operation of the electromagnetic rail launcher, the contact between the armature and the track is a high-speed sliding contact. This sliding electrical contact state directly affects the stability of the electromagnetic launcher, the muzzle velocity and the efficiency of the system. The traditional contact resistance setting scheme is to add a contact layer, but this will increase the complexity of the calculation; at the same time, a large amount of current needs to be passed through the electromagnetic track when it is working, and it is impossible to evaluate the enhancement effect of the planar enhanced electromagnetic track model. Summary of the invention
[0004] The present invention provides an enhanced electromagnetic track finite element simulation method and device, system and storage medium.
[0005] To achieve the above object, the present invention adopts the following technical solution:
[0006] An enhanced electromagnetic track finite element simulation method, comprising:
[0007] Step S1, when the projectile is at the initial position and current is passed through the electromagnetic module, an electromagnetic force is generated; wherein, the performance of the track is enhanced by the circulation of current in the enhanced track; and the contact resistance is simulated by the weak contribution form of the contact resistance;
[0008] Step S2, the armature is installed into the track by interference fitting through the mechanical module, and the electromagnetic force causes the armature to obtain acceleration and speed; wherein the displacement generated by the movement of the armature causes the grid to deform;
[0009] Step S3, the electromagnetic module controls the displacement of the armature by moving the grid;
[0010] The weak contribution form of contact resistance in the electromagnetic track model is obtained by the energy variation method:
[0011]
[0012] in, is the differential operator, E is the electric field intensity; B is the magnetic induction intensity; H is the magnetic field intensity; t is the time; H t is the tangential magnetic field intensity; δ is the variation symbol; a computational domain is selected to surround the projectile and the track, the area surrounded by the track is V1, the area surrounded by the projectile is V2, and the contact layer between the track and the projectile is V3; the thickness of the contact layer V3 is set close to 0, and the contact layer V3 is regarded as a surface, and S is used. t is represented by; Γ is a closed curve surrounding the calculation area; R ct is the resistivity of the contact surface; V and S1 are the volume and surface area of the calculation area respectively; It represents the energy lost when current flows through the contact layer. The contact resistance is the energy loss when current passes through the contact surface.
[0013] Preferably, the armature is installed into the rail by interference fitting, with a loading speed of 0.1 m / s and an interference amount of 0.001 m.
[0014] The present invention also provides an enhanced electromagnetic track finite element simulation device, comprising:
[0015] The first simulation module is used to generate electromagnetic force through the electromagnetic module when the projectile is at the initial position and current is passed through it; wherein the performance of the track is enhanced by the circulation of current in the enhanced track; and the simulation of the contact resistance is realized by the weak contribution form of the contact resistance;
[0016] The second simulation module is used to install the armature into the track by interference fitting through the mechanical module, and the electromagnetic force causes the armature to obtain acceleration and speed; wherein, the displacement generated by the movement of the armature causes the grid to deform;
[0017] The third simulation module is used for the electromagnetic module to control the armature displacement by moving the grid;
[0018] The first simulation module uses the energy variation method to obtain the weak contribution form of the contact resistance in the electromagnetic track model:
[0019]
[0020] in, is the differential operator, E is the electric field intensity; B is the magnetic induction intensity; H is the magnetic field intensity; t is the time; H tis the tangential magnetic field intensity; δ is the variation symbol; a computational domain is selected to surround the projectile and the track, the area surrounded by the track is V1, the area surrounded by the projectile is V2, and the contact layer between the track and the projectile is V3; the thickness of the contact layer V3 is set close to 0, and the contact layer V3 is regarded as a surface, and S is used. t is represented by; Γ is a closed curve surrounding the calculation area; R ct is the resistivity of the contact surface; V and S1 are the volume and surface area of the calculation area respectively; It represents the energy lost when current flows through the contact layer. The contact resistance is the energy loss when current passes through the contact surface.
[0021] Preferably, the second simulation module enables interference fitting to install the armature into the track, with a filling speed of 0.1 m / s and an interference amount of 0.001 m.
[0022] The present invention also provides an enhanced electromagnetic track finite element simulation system, comprising: a memory and a processor, wherein the memory stores a computer program executed by the processor, and the computer program executes an enhanced electromagnetic track finite element simulation method when executed by the processor.
[0023] The present invention also provides a storage medium, on which a computer program is stored, and the computer program executes an enhanced electromagnetic track finite element simulation method when running.
[0024] The present invention establishes a model that represents the dynamic contact resistance through weak contribution, which eliminates the need to establish a contact layer and greatly reduces the complexity of the calculation. At the same time, a simulation model for the planar enhanced electromagnetic track under the condition of force-electro-magnetic multi-physical field coupling is established, and the enhancement effect of the parallel enhanced track is quantitatively evaluated. BRIEF DESCRIPTION OF THE DRAWINGS
[0025] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on the provided drawings without paying creative work.
[0026] Figure 1 This is a flow chart of the enhanced electromagnetic track finite element simulation method according to an embodiment of the present invention;
[0027] Figure 2 Schematic diagram of the connection structure between the track and the projectile, where 1 is the track, 2 is the projectile, and A is a schematic diagram of the contact between the track 1 and the projectile 2;
[0028] Figure 3 for Figure 2The enlarged schematic diagram of A in the figure, wherein V1 is the area surrounded by the track 1, V2 is the area surrounded by the projectile 2, and V3 is the contact layer between the track 1 and the projectile 2;
[0029] Figure 4 Schematic diagram of interference fit; (a) is a schematic diagram of the filling process; (b) is a schematic diagram after filling;
[0030] Figure 5 It is a schematic diagram of armature related parameters;
[0031] Figure 6 Schematic diagram of the current flow direction of the enhanced electromagnetic rail; among them, (a) is a schematic diagram of the current flow direction of a double-track electromagnetic railgun, (b) is a schematic diagram of the current flow direction of a four-track electromagnetic railgun, (c) is a schematic diagram of the current flow direction of a six-track electromagnetic railgun, and (d) is a schematic diagram of the current flow direction of an eight-track electromagnetic railgun. DETAILED DESCRIPTION
[0032] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
[0033] 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.
[0034] Embodiment 1:
[0035] like Figure 1 , 2 As shown, an embodiment of the present invention provides an enhanced electromagnetic track finite element simulation method, comprising:
[0036] Step S1, when the projectile 2 is at the initial position and current is passed through the electromagnetic module, an electromagnetic force is generated; wherein, the performance of the track 1 is enhanced by the circulation of the current in the enhanced rail; and the contact resistance is simulated by the weak contribution form of the contact resistance;
[0037] Step S2, the armature is installed into the track 1 by interference fitting through the mechanical module, and the electromagnetic force causes the armature to obtain acceleration and speed; wherein, the displacement generated by the movement of the armature causes the grid to deform;
[0038] Step S3: The electromagnetic module controls the displacement of the armature by moving the grid.
[0039] As an implementation of an embodiment of the present invention, in step S1, the electromagnetic field control method of the embodiment of the present invention is the H method. The H method is a method that only uses the H magnetic induction intensity as a variable to solve the Maxwell equations, which can effectively improve the speed and accuracy of the simulation process.
[0040] Ampere's circuit law and Faraday's law of electromagnetic induction in Maxwell's equations are as follows:
[0041]
[0042] in, is the differential operator, J is the current density, E is the electric field intensity, B is the magnetic induction intensity, H is the magnetic field intensity, and t is the time.
[0043] The electromagnetic constitutive equation is:
[0044]
[0045] Among them, ρ is the resistivity of the conductor, μ0 is the absolute magnetic permeability, and μ r is the relative magnetic permeability, μ r =1; eliminate other physical quantities and keep only H to obtain:
[0046]
[0047] Using the H method as the control equation can increase the speed of model calculation and reduce the complexity of model setting.
[0048] Since the electromagnetic orbit model has strong symmetry, we choose to establish The model can reduce the computational complexity.
[0049] Due to the adoption The model needs to constrain its boundary conditions, that is, to ensure that:
[0050] I z =0 (4)
[0051] Transverse current I z To ensure that the simulation results are closer to the actual situation.
[0052] The weak contribution expression of contact resistance in the electromagnetic track model is derived by the energy variation method; Poynting's theorem can give the energy conservation relationship in the electromagnetic field
[0053]
[0054] Among them, w is the electromagnetic field energy density, S is the energy flux density, V and S1 are the volume and surface area of the calculation area, and Γ is a closed curve surrounding the calculation area. Substitute ∫ V -δJ·EdV can be obtained:
[0055]
[0056] Among them, δ is the symbol of variation,
[0057] Substituting (2) into the equation, we can obtain:
[0058]
[0059] In this way, the weak form expression of the H-method control equation can be obtained, which can be understood as the energy flowing out of the boundary is converted into the energy of the magnetic field and the work done by the conductor in the magnetic field. In the process of model establishment, there will be a contact layer of a certain thickness between the track 1 and the projectile 2, such as Figure 2 and Figure 3 As shown. Its thickness is very small. Due to the existence of the contact layer, there will be contact resistance when the current is transmitted from the guide rail to the armature. However, if the contact layer is constructed during modeling, the complexity of the calculation will increase. In order to reduce the complexity of modeling, the weak contribution form is chosen for simplification. Equation (7) can be simplified as follows:
[0060]
[0061] Among them, a calculation area surrounding projectile 2 and track 1 is selected, the area surrounded by track 1 is V1, the area surrounded by projectile 2 is V2, and the contact layer between track 1 and projectile 2 is V3; the thickness of contact layer V3 is set close to 0, and contact layer V3 is regarded as a surface. S t To indicate; R ct is the resistivity of the contact surface, R ct =ρ c ·d c , d c is the contact layer thickness, ρ c is the resistivity of the contact layer. In the construction of the model, the contact resistance is not considered for calculation. From the results obtained, the thickness of the contact layer is generally 10 -6 So the contact layer thickness is 1 μm, and the contact ratio between track 1 and projectile 2 is the contact resistivity ρ of copper and aluminum. c ≈3.6065×10 -7 Ω·m.
[0062] Since the thickness of the contact layer d c is small enough, (8) can be regarded as 0, and the above formula can be further simplified:
[0063]
[0064] On the contact surface, the tangential current and the normal magnetic field intensity can be ignored, and only the tangential magnetic field intensity and the normal current are retained. The relationship between them can be expressed as:
[0065]
[0066] Among them, J n is the normal current, H t is the tangential magnetic field strength;
[0067] This can be further simplified:
[0068]
[0069] in, It represents the energy lost when current flows through the contact layer; the contact resistance can be considered as the energy loss when current passes through the contact surface, so the contact resistance is represented in the form of weak contribution.
[0070] As an implementation method of an embodiment of the present invention, in step S2, during the launch of the electromagnetic railgun, the contact force between the armature and the track 1 will have a great impact on the performance of the electromagnetic railgun. The armature and the track 1 maintain good metal-metal contact to avoid transition. The size and distribution of the contact pressure between the two is an important factor affecting the transition. The contact pressure and distribution are related to the structure of the armature. In order to ensure good contact between the armature and the track 1, an interference fit is used to ensure good contact. Figure 4 As shown in (a) and (b), the loading speed V is 0.1m / s and the interference is 0.001m.
[0071] During the electromagnetic gun launch process, electromagnetic force is the main driving force of the electromagnetic gun movement. The density of the electromagnetic force f can be expressed as:
[0072] f=J×B (12)
[0073] Its mechanical equation is written as:
[0074] σ ij,j +f i =ρ0a i (13)
[0075] Among them, σ ij,j is the stress expressed in tensor form, ρ0 is the density of the armature, and f i is the component of the electromagnetic force f in the x, y, and z directions, a i is the acceleration of the armature. During the armature movement, the armature moves only along the x direction, so constraints need to be imposed on the movement of the armature, namely:
[0076]
[0077] Among them, u y is the displacement of the armature in the y direction.
[0078] It is guaranteed to move only in track 1. There is a similar equation for track 1:
[0079] σ ij,j +f i =0(15)
[0080] To ensure that track 1 does not move during the launch process, fixed constraints are imposed on the boundaries of track 1.
[0081] As an implementation of the embodiment of the present invention, in step S3, during the launch of the electromagnetic gun, a large amount of current will be passed in a short period of time, so the armature will obtain a large acceleration, which will cause the grid to be distorted, thereby affecting the calculation results. In order to solve this problem, the ALE method is used in modeling, which can be used in the current configuration t n The previous moment t n-1 The mesh is reconstructed and a set of relations is used to relate the current configuration to the reference configuration.
[0082] In the reference configuration, the material point is recorded as vector X, and in the reference configuration, the position of the material point in the coordinate system in space is recorded as vector x. The deformation gradient F is When studying the deformation of a continuum, the Cauchy stress σ and the volume force f are defined in the current configuration. b , S and is the second Piola-Kirchoff stress (i.e., nominal stress) and body force, the Cauchy stress σ and body force f b It can be written as:
[0083]
[0084] Among them, F T is the transpose of the deformation gradient F, J d is the determinant of F. For the strain component, let the strain in the reference configuration be ε G , the strain component in the current configuration is ε A , they can be expressed as:
[0085]
[0086] Among them, I is the unit tensor.
[0087] Establishing a reference coordinate system That is, n-1The configuration at the time, the grid is generated again on the reference configuration, and the spatial coordinate is x = x (X, t). The spatial coordinate x is a function of the material coordinate X and time t. In addition, the spatial coordinate can also be obtained by the grid coordinate Determined by time t Assume that the velocity of the object in the material coordinate system is v, and the velocity of the object in the grid coordinate system is The two speeds can be expressed as:
[0088]
[0089] in, and They represent the derivative of t when the material coordinates and grid coordinates remain unchanged;
[0090] Furthermore, the convection velocity C can be defined v ,
[0091]
[0092] The momentum conservation formula can be written as:
[0093]
[0094] Among them, ρ0 is the density of the object.
[0095] The electromagnetic equations can also be written in the reference configuration and the current configuration. First, define the grid deformation gradient Take J d The determinant of F can be used to establish the relationship between the electromagnetic physical quantities in the space coordinate system and the electromagnetic physical quantities in the material coordinate system:
[0096]
[0097] Among them, H X ,B X ,E X ,J X are the magnetic field intensity, magnetic induction intensity, electric field intensity, and current density under the reference configuration respectively; H x ,B x ,E x ,J x are the magnetic field intensity, magnetic induction intensity, electric field intensity, and current density under the current configuration. According to Faraday's law of electromagnetic induction and Ampere's law, we can get:
[0098]
[0099] in, is the curl operator in the current configuration, is the curl operator under the reference configuration. Similarly, the expression of the H method control equation under the reference configuration can be given:
[0100]
[0101] As an implementation method of the present invention, a copper track 1 and an aluminum projectile 2 are selected, and their material parameters are shown in Table 1 and Figure 5 As shown, l1, l2, l3 are the width, length, and height of the armature, respectively, and R1 and R2 are the radii of the circles used when the two parts of the armature are rounded. In addition, the air domain is filled around the track 1 and the armature to ensure that the electromagnetic field distribution is the same as in reality.
[0102] Table 1
[0103] Track length(m) Track width(m) Track height (m) Track resistivity (Ω·m) Rail elastic modulus (Pa) Orbital Poisson's ratio 1 0.02 0.02 <![CDATA[1.72×10 -8 ]]> <![CDATA[110×10 9 ]]> 0.35 l1(m) l2(m) l3(m) Armature resistivity (Ω·m) Armature elastic modulus (Pa) Armature Poisson's ratio 0.02 0.04 0.04 <![CDATA[2.85×10 -8 ]]> <![CDATA[70×10 9 ]]> 0.03 R1(m) R2(m) Spacing between each reinforced rail (m) 0.01 0.005 0.02
[0104] In order to reflect the enhanced effect of the enhanced electromagnetic rail, the current is controlled to be the same, and the current is circulated in the parallel rails through the guide device, so that the current is constant and the performance of the electromagnetic rail gun can be effectively improved. Figure 6 The arrow is the direction of the current. The arrow pointing from the outside to track 1 represents the current flowing into the track, and the arrow pointing from track 1 to the outside represents the current flowing out of the track. According to this rule, the power-on method can be extended to the 2n track plane enhanced track, such as Figure 6 By passing a large amount of current in a short period of time, a considerable electromagnetic force is provided to the armature, so that the armature can obtain a very large speed. The displacement of the armature in the mechanics module is introduced into the electromagnetics module as a factor to control the motion of the dynamic mesh, thus establishing a force-electromagnetic coupling model.
[0105] Embodiment 2:
[0106] The embodiment of the present invention further provides an enhanced electromagnetic track finite element simulation device, comprising:
[0107] The first simulation module is used to generate electromagnetic force through the electromagnetic module when the projectile 2 is at the initial position and current is passed through it; wherein the performance of the track 1 is enhanced by the circulation of current in the enhanced rail; and the simulation of the contact resistance is realized by the weak contribution form of the contact resistance;
[0108] The second simulation module is used to install the armature into the track 1 by interference fitting through the mechanical module, and the electromagnetic force causes the armature to obtain acceleration and speed; wherein the displacement generated by the movement of the armature causes the grid to deform;
[0109] The third simulation module is used for the electromagnetic module to control the armature displacement by moving the grid;
[0110] The first simulation module obtains the weak contribution expression of contact resistance in the electromagnetic track model through the energy variation method, that is,
[0111]
[0112] in, is the differential operator, E is the electric field intensity; B is the magnetic induction intensity; H is the magnetic field intensity; t is the time; H t is the tangential magnetic field intensity; δ is the variation symbol; a computational domain is selected to surround projectile 2 and track 1, the area surrounded by track 1 is V1, the area surrounded by projectile 2 is V2, and the contact layer between track 1 and projectile 2 is V3; the thickness of the contact layer V3 is set close to 0, and the contact layer is regarded as a surface, and S is used. t is represented by; Γ is a closed curve surrounding the calculation area; R ct is the resistivity of the contact surface; V and S1 are the volume and surface area of the calculation domain respectively; It represents the energy lost when current flows through the contact layer. The contact resistance is the energy loss when current passes through the contact surface.
[0113] As an implementation of the embodiment of the present invention, the second simulation module uses interference fitting to install the armature into the track 1, with a filling speed of 0.1 m / s and an interference amount of 0.001 m.
[0114] Embodiment 3:
[0115] An embodiment of the present invention further provides an enhanced electromagnetic track finite element simulation system, comprising: a memory and a processor, wherein the memory stores a computer program executed by the processor, and the computer program executes an enhanced electromagnetic track finite element simulation method when executed by the processor.
[0116] Embodiment 4:
[0117] An embodiment of the present invention further provides a storage medium, on which a computer program is stored, and the computer program executes an enhanced electromagnetic track finite element simulation method when running.
[0118] The embodiments described above are only descriptions of the preferred embodiments of the present invention and are not intended to limit the scope of the present invention. Without departing from the design spirit of the present invention, various modifications and improvements made to the technical solutions of the present invention by ordinary technicians in this field should all fall within the protection scope determined by the claims of the present invention.
Claims
1. An enhanced electromagnetic track finite element simulation method, characterized in that: include: Step S1, when the projectile is at the initial position and current is passed through the electromagnetic module, an electromagnetic force is generated; wherein, the performance of the track is enhanced by the circulation of current in the enhanced track; and the contact resistance is simulated by the weak contribution form of the contact resistance; Step S2, the armature is installed into the track by interference fitting through the mechanical module, and the electromagnetic force causes the armature to obtain acceleration and speed; wherein the displacement generated by the movement of the armature causes the grid to deform; Step S3, the electromagnetic module controls the displacement of the armature by moving the grid; The weak contribution form of contact resistance in the electromagnetic track model is obtained by the energy variation method: in, is the differential operator, E is the electric field intensity; B is the magnetic induction intensity; H is the magnetic field intensity; t is the time; H t is the tangential magnetic field intensity; δ is the variation symbol; a computational domain is selected to surround the projectile and the track, the area surrounded by the track is V1, the area surrounded by the projectile is V2, and the contact layer between the track and the projectile is V3; the thickness of the contact layer V3 is set close to 0, and the contact layer V3 is regarded as a surface, and S is used. t is represented by; Γ is a closed curve surrounding the calculation area; R ct is the resistivity of the contact surface; V and S1 are the volume and surface area of the calculation area respectively; It represents the energy lost when current flows through the contact layer. The contact resistance is the energy loss when current passes through the contact surface.
2. The enhanced electromagnetic track finite element simulation method according to claim 1, characterized in that: The armature is installed into the track by interference fitting, with a loading speed of 0.1m / s and an interference amount of 0.001m.
3. An enhanced electromagnetic track finite element simulation device, characterized in that: include: The first simulation module is used to generate electromagnetic force through the electromagnetic module when the projectile is at the initial position and current is passed through it; wherein the performance of the track is enhanced by the circulation of current in the enhanced track; and the simulation of the contact resistance is realized by the weak contribution form of the contact resistance; The second simulation module is used to install the armature into the track by interference fitting through the mechanical module, and the electromagnetic force causes the armature to obtain acceleration and speed; wherein, the displacement generated by the movement of the armature causes the grid to deform; The third simulation module is used for the electromagnetic module to control the armature displacement by moving the grid; The first simulation module uses the energy variation method to obtain the weak contribution form of the contact resistance in the electromagnetic track model: in, is the differential operator, E is the electric field intensity; B is the magnetic induction intensity; H is the magnetic field intensity; t is the time; H t is the tangential magnetic field intensity; δ is the variation symbol; a computational domain is selected to surround the projectile and the track, the area surrounded by the track is V1, the area surrounded by the projectile is V2, and the contact layer between the track and the projectile is V3; the thickness of the contact layer V3 is set close to 0, and the contact layer V3 is regarded as a surface, and S is used. t is represented by; Γ is a closed curve surrounding the calculation area; R ct is the resistivity of the contact surface; V and S1 are the volume and surface area of the calculation area respectively; It represents the energy lost when current flows through the contact layer. The contact resistance is the energy loss when current passes through the contact surface.
4. The enhanced electromagnetic track finite element simulation device according to claim 3, characterized in that: The second simulation module uses interference fitting to install the armature into the track, with a loading speed of 0.1m / s and an interference amount of 0.001m.
5. An enhanced electromagnetic track finite element simulation system, characterized in that: include: A memory and a processor, wherein the memory stores a computer program executed by the processor, and when the computer program is executed by the processor, the enhanced electromagnetic track finite element simulation method as described in any one of claims 1 to 2 is executed.
6. A storage medium, characterized in that: The storage medium stores a computer program, which, when running, executes the enhanced electromagnetic track finite element simulation method according to any one of claims 1 to 2.
Citation Information
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