通过运动方程、物理方程、几何方程及电动力学方程给出了载流薄板在机械场、电磁场以及温度场作用下的基本方程,以二维平板磁弹性问题为例,建立了含有10个基本未知量的偏微分方程组,再利用Newmark有限等差式,得到了可以应用离散正交法求解的标准型。对于载流薄板,得到了洛仑兹力的表达式,并且推导得到了温度场积分特征值。讨论了载流铁磁性薄板应力、温度及变形随外加电磁参量的变化规律,并通过实例证实了可以通过改变电、磁、力场的参数来实现对薄板的应力、应变、温度的控制。
Base on the equation of motion,physical equation,geometric equation and electrical dynamics,the fundamental equations of current-carrying thin plate located in the mechanical,electromagnetic and temperature fields were given.As example,the difference scheme was built in the two dimensional ferromagnetic thin plate,the ordinary differential equations including ten basic variables were obtained.Using Newmark stable finite difference formula,the criterion type which can be solved with discrete orthogonli-zation method were obtained.The expression of Lorenz force and the temperature field eigenvalues of integral were derived.The variant regularity of the stress,temperature and deformation in the current-ca-rrying ferromagnetismthin plate,which following with loaded electromagnetic parameter was discussed.It proves from an example that the deformation and stress can be controlled by the mean of changing the electromagnetic and mechanics parameters.