横向三角脉冲磁场下悬臂导电薄板的动力稳定性分析

Analysis for dynamic stability of the cantilever conductive thin plate under transverse triangular impulsive magnetic field

对于在仅有外加横向三角脉冲磁场下的悬臂导电薄板,给出了受到脉冲磁场影响时其动力稳定性的定量分析方法。揭示了在三角脉冲磁场下由于受到涡电流与总磁场相互作用所产生的面内磁体压力的作用,悬臂导电薄板会发生失稳。得到了在不同稳态磁场作用下受到三角脉冲磁场作用时导电薄板的磁弹性动力响应的数值模拟结果。在此基础上,给出了关于稳态磁场值、横向脉冲磁场峰值和脉冲持续时间等参数范围的磁弹性动力稳定性区域。

For the cantilever conductive thin plate under only externally lateral triangular impulsive magnetic field, the quantitative analytical method of dynamic stability is given to the plate which is subject to the effect of the impulsive magnetic field. In virtue of the magnetic body force produced by the interaction between eddy current and total magnetic field, the buckling problem is displayed. When the different stationary magnetic fields are set, a numerical program is established to simulate the magnetoelastic dynamic responses of the conductive thin plate subjected to a triangular impulsive magnetic field. After that, we give the regions of the dynamic stability on the parameters of the values of stationary magnetic field, the apexes of transverse impulse magnetic field, and the impulse duration.