关键词: 蜂窝夹层板, Hamilton体系, 相空间非传统Hamilton变分原理, 动力响应分析, 辛空间有限元-时间子域法

Abstract: In this paper, the Lagrange system for dynamic analysis of honeycomb sandwich plates is transferred to the Hamilton system. In a simple and unified new way proposed by Luo, the unconventional Hamilton variational principle in phase space for dynamics of honeycomb sandwich plates is established, and the Hamilton canonical equations, boundary and initial conditions can be derived from this variational principle. Based on the unconventional Hamilton variational principle, the symplectic space finite element-time subdomain method is proposed . From the results of the numerical example, it can be seen that the accuracy and the computational efficiency of the new method excel obviously those of widely used Wilson-θ and Newmark-β method.

Key words: honeycomb sandwich plate, Hamilton system, unconventional Hamilton variational principle in phase space, dynamic response analysis, symplectic space finite element-time subdomain method