薄壳单元法在接触物体间电磁力计算中的应用

摘要

针对在利用有限元法计算接触物体间电磁力时在物体接触表面没有积分单元可用的问题,首先,基于薄壳单元的思想,提出了一种在体积分和面积分之间确定附加薄壳单元的方法和一种在3D有限无法中利用附加薄壳单元精确计算接触物体间电磁力的方法,然后,基于虚功原理,推导了计算薄壳单元节点电磁力的T-Ω公式和雅可比矩阵表达式,并给出了计算物体接触表面分布电磁力的算法及其实现方法,最后将所提出的方法用于实例计算,并将3D有限元法计算结果与解析计算结果进行比较,证实所提出方法的有效性和正确性.%In order to compute the electromagnetic force between two objects touching each other, an additional shell element is proposed and a simple method to determine the additional shell elements on the interface between volume integration and surface integration is also presented- A general formulation of nodal virtual work electromagnetic force compulation between two objects touching each other for three-dimensional (3D) finite element analysis was presented. The T-Ωormulation and the Jacobian matrix were deduced and the implementation methodology was presented. An example with analytical solutions is used to verify the computed results.