结构静态拓扑重分析的摄动-Padé逼近法

PERTURBATION-PADé METHODE FOR STATIC TOPOLOGICAL REANALYSIS

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.