悬臂导电薄板磁弹性耦合作用下的动力失稳

Dynamic instability of magnetoelastic coupling interactions of cantilever conductive thin plates

对于聚变反应堆中受到外加横向强脉冲磁场和面内恒定磁场联合作用下的悬臂导电薄板,建立了描述其力-电-磁耦合作用下动力行为的理论模型.对空间部分采用有限元法,对涡电流、导电薄板的时间部分分别采用Crank-Nicolson法和Newmark法,对每一时间步上的耦合非线性采用迭代法,给出了计算程序的求解过程,定量模拟了强脉冲磁场和面内恒定磁场对磁体力和薄板挠度的影响.数值结果显示,外加横向脉冲磁场和面内恒定磁场的联合作用使得结构更容易失稳,导电薄板失稳时横向临界磁场值随着面内恒定磁场的增大而减小,但随着脉冲参数的减小而减小.

For application to cantilever conductive thin plate in fusion reactor under the interaction of externally lateral strong impulsive and in-plane uniform magnetic field, a theoretical model for describing the dynamic behavior under the condition of the coupling mechanics-electricity-magnetism interactions was established. The numerical solution steps of algorithm routine were given with the finite element method for the spatial part, the Crank-Nicolson method for the time part of the eddy current, the Newmark method for the conductive thin plate, and iterative method for the coupling non-linearity at each time step, The influences of strong impulsive magnetic field and in-plane uniform magnetic field on magnetic volume forces and the deformation of thin plates were quantitatively simulated. The numerical results indicate that the structure loses stability easily under the interaction of externally lateral strong impulsive and in-plane uniform magnetic field. The lateral critical magnetic field value decreases with the increase of in-plane uniform magnetic field, but reduces with the decrease of the impulse parameter when the dynamic instability of the conductive thin plate appears.