无虚拟节点的有限元界面协调技术

A consistent method without pseudo-nodes for FEM interface

分析了罚函数虚拟节点位移协调法,在此基础上提出了无虚拟节点罚函数位移协调法,推导了该界面协调技术的耦合公式,解决了网格突变情况下的位移协调问题,从而协调了计算精度与效率间的矛盾。通过算例分析,验证了其合理性,结果表明所提出的方法的刚度矩阵具有对称性、带状性,同时该法还有精度高、计算效率高等优点。

<Abstrcat> This paper analyzed the penalty function pseudo-nodes displacement consistent method. Based on these methods, non-pseudo-nodes displacement consistent method is presented, which solved the problem of the displacement consistency between meshes with different densities. The formulations of the methods are deduced. Consequently the contradiction between calculation accuracy and efficiency is coordinated. Non-pseudo-nodes displacement consistent method provides symmetric banded matrices. The validity of the proposed method is verified by an example. The results show that the accuracy and efficiency of the method are satisfactory.