基于整体-局部高阶剪切理论的层合板多体系统的动静力学分析

基于高阶剪切理论,推导了整体-局部1,2-3高阶位移模式.在满足层间位移连续,层间剪应力连续,以及上下表面自由的条件下,层合板每个节点的独立变量变为13,并且不随层合板层数的增加而变化.在此基础上将整体-局部1,2-3高阶位移模式推广到刚-柔耦合层合板多体系统,利用混合坐标法,基于虚功原理,建立了考虑层合板层间应力连续的多体系统动力学方程.通过静力学算例,验证了整体-局部1,2-3高阶位移模式的准确性,得到了层合板层间应力沿着厚度的分布情况.通过多体系统动力学算例,对比了传统方法的计算结果,揭示了本文方法与传统方法在计算层合板多体系统中层间应力的差异,说明了刚-柔耦合层合板多体系统考虑层间剪应力连续的必要性.

Tatic and dynaminc analysis of laminated plate multibody system based on global-local higher order shear deformation theory

Based on the higher order shear deformation theory, the global local 1, 2 3 mode is derived in this paper. Given the conditions of the continuity of in plane deformation and shear stress, as well as the free conditions of the upper and lower surfaces, the number of the independent variables for each node of laminated plate is reduced to 13, which is independent of the number of laminate layers. The displacement mode is then developed through rigid flexible coupling dynamics for laminated plate mutibody system. Based on the principle of virtual work, the dynamic equations for mutibody system are established through the hybrid coordinate formulation, where the continuity of the interlaminar stress is taken into consideration for laminated plate. The global local 1,2 3 displacement mode is obtained and verified against the exact solution in statics example. Finally, the comparison of the results obtained by the proposed method and the traditional method for laminated plate mutibody system illustrates the necessity of considering the continuity of interlaminar shear stress in simulation of laminated plate mutibody system.