载流圆形薄板的磁弹性应力与变形分析

本文在建立非定常电磁场和机械载荷作用下载流圆形薄板非线性变形状态下的磁弹性二维关系方程和运动方程的基础上，对其在非静态电磁场和机械载荷联合作用下的位移及应力进行了分析，获得了耦合场中一些参量的变化规律，通过具体算例，得出了载流圆形薄板在机械场和电磁场作用下的位移及应力与通电电流强度之间的关系，并解决了圆板中心处的奇异性问题，给出了在轴对称条件下的数值解，计算结果表明，改变通电电流及电磁感应强度的大小，可以改变载流薄板的应力和变形状态，达到控制薄板的受力和变形的目的。

Analysis of Magneto-Elastic Stress and Strain in Thin Current-Carrying Circular Plate

In this paper, based on the magneto-elastic two-dimentional relation equation and the motion e-quations, the displacement and the stress in a thin current carrying circular plate under the combined action of an unstatic electromagnetic field and the mechanical load were analysed. And then the variation law of coupled field parameter was obtained too. Through specific examples, the relationship between the e-lectric current density and the displacement and the stress in a thin current carrying circular plate under the influence of mechanical load and the electromagnetic field is given for the first time. The singularity in the center of the circular plate was solved and the numerical solution in an axisymmetric problem was obtained too. The computed results show that the stress and the deformation are altered with the variation of the electric current and the electromagnetic induction density. This also shows that the stress and the deformation of the thin plate can be controlled. All these provide the theoretical analysis and the numerical calculation method for altering the working mode of a thin circular plate in some engineering structures in an electromagnetic environment.