结构静态拓扑重分析的摄动-Padé逼近法  

PERTURBATION-PADé METHODE FOR STATIC TOPOLOGICAL REANALYSIS

作　　者：黄海[1] 陈塑寰[2] 孟光[1] 郭克尖[1] 

机构地区：[1]上海交通大学振动冲击噪声国家重点实验室,上海200240 [2]吉林大学力学系,长春130025

出　　处：《固体力学学报》2005年第3期321-324,共4页Chinese Journal of Solid Mechanics

基　　金：教育部博士基金(20010183013);国家自然科学基金杰出青年科学基金(10325209)资助

摘　　要：提出一种拓扑修改的静态重分析的方法.该方法将所有新增加的自由度分步、逐次得增加到原结构上.在每一子步中利用过渡矩阵得到摄动基,并对摄动基进行正交化处理来进行Padé逼近,得到的近似解作为下一子步的原始解.循环结束时得到修改结构的近似解.A new method for structure top modification static reanalysis is developed. The proposed procedure adds all the new DOFs to the original structure step by step. In each step, the transitional matrix is built to obtain the perturbation basis, and Pads approximation is gotten by orthogonalization of the perturbation basis. The result of each step will be the initial solution for the next step. When the iteration process ends, the approximate solution for the modified structure is reached. The numerical example illustrates that the method proposed is effective for the static displacement reanalysis.

关 键 词：拓扑修改 结构重分析 矩阵摄动Pad6逼进 自由度递增 重分析 摄动 结构 逼近法 PADE逼近 过渡矩阵 

分 类 号：O342[理学—固体力学]