压电、压磁球对称问题振动分析

Analysis of piezo-electric-magnetic material vibration in the spherical symmetry

考虑压电、压磁材料在球坐标系下,不计体力、体电荷和体电流的情况下,由运动方程、梯度方程、压电和压磁的本构方程导出外激励作用下应力、应变、位移、电位移、电场强度、电位势、磁感应强度、磁场强度和磁位势等各量的稳态解.并给出了具体实例的边界条件,从而可为压电、压磁材料空间球对称动力控制问题提供良好的理论依据.

By considering piezo-electric-magnetic material in the spherical coordinates, not accounting body force, body charge or body current, from motion equation, gradient equation and constructive equation of piezo-electric-magnetic material, deduced the steady-state solutions to variables such as stress, strain, displacement, electro-displacement, electric field intensity, electric potential, magnetic induction, magnetic field intensity magnetic potential, etc. It presented boundary conditions of some practical examples and, therefore, provided a good theoretical basis for dynamic control of piezo-electric-magnetic material in space spherical symmetry