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KIAM Preprint № 80, Moscow, 2024
Authors: Plekhanov A.V., Ryzhov S.Y.
Mechanical interaction of a projectile body with a bore walls of an electromagnetic accelerator. Parametric study
Abstract:
The vibration of the accelerator rails under the action of electromagnetic forces, the right boundary of which is moving along with the armature along the barrel bore, is considered. The rail accelerator is simply considered as a Bernoulli-Euler beam of finite length, lying on a viscoelastic foundation, with cantilever support from the side of the accelerator breech. The rail vibration is described by a differential equation in partial derivatives of the fourth order in spsce and the second order in time. The equation is solved numerically by combined method: finite differences in time and finite elements in space. The influence of the armature injection velocity and the contact force between the armature and the rails on the rail dynamic behavior, taking into account the friction force, has been studied. It is shown that an increase in the armature injection velocity reduces the time of action of the armature/rail contact area on the surface of the input part of the accelerator channel, shifts the position of the maximum rail deflection towards the muzzle with its amplitude practically unchanged, and when the armature injection velocity exceeds the critical speed, it leads to a significant decrease in the amplitude of vibrations. In this case, the armature overtakes the leading edge of the vibrations throughout the entire acceleration period. Also, with an increase in the armature injection velocity, the amplitude of the required current decreases and the acceleration time is reduced, which can reduce the mass and dimensions of the electric power source and reduce the requirements for the rail materials due to a decrease in the integral of action, which affects the durability of the materials. The contact force coefficient m has a complex effect on the amplitude of rail vibrations due to the fact that both the friction force and the magnitude of the repulsive force depend on it. The latter is responsible for a significant increase in the amplitude of vibrations at m > 1. Taking into account the parameter m did not introduce any special features into the vibration process of the rail, as noted in the literature. This is likely due to the fact that more complex processes reflecting non-uniform current distribution analyzed using 3D finite element method cannot be obtained within the beam model.
Keywords:
rail electromagnetic accelerator, rail vibration, moving load, FDM+FEM, injection velocity, contact force
Publication language: russian,  pages: 28
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Plekhanov Alexander Valentinovich,  orcid.org/0000-0001-9012-2762KIAM RAS
  • Ryzhov Sergey Yurievich,  orcid.org/0009-0006-0902-4852