基于电-磁-力多场耦合理论,研究了在激励线圈下导电圆形薄板的磁弹性动力响应问题。首先由麦克斯韦方程组与广泛用于导电结构和超导结构涡电流计算的T法,得到了圆形薄板的涡电流控制方程及电磁力表达式,给出了线圈磁场的表达式和分布特征。然后采用有限元方法,数值模拟了激励线圈下导电圆板的涡电流密度分布和横向磁体力的动力响应,给出了振幅随脉冲参数及外加电流的变化关系。
This paper studied the dynamic behaviors of the circular conductive thin plate subjected to an externally impulsive magnetic field.The governing equation of eddy current and the electromagnetic forces are derived based on Maxwell's equations and T-method of eddy current,which has been widely used in the analysis of conductive and superconductive structures.The finite element formulation of the electro magneto-mechanics coupling problems are also presented.Then a numerical code based on FEM is developed to quantitatively simulate the characteristics of the magnetic field of coils with electric current,and the dynamic response of the circular conductive plate under a pulse magnetic field.Some characteristic curves,such as the distribution of eddy current,the electromagnetic forces and the amplitude of plate varying with the applied current,are displayed.