结构重分析中的帕德逼近方法

This project was supported by the National Natural Science Foundation of P. R. China. The studies of the project have been focused on applications of Padé approximation to some linear and nonlinear problems in mechanics. Efficient and accurate methods for the static and dynamic reanalysis for large structural modifications were proposed. For free oscillation of various nonlinear conservative systems, the analytical approximate periods and the corresponding periodic solutions were established and they are valid for small as well as large amplitude of oscillation. The study will bring about certain advance in design, optimization and damage identification of structures.

将帕德逼近引入结构力学，建立高效的、实用范围广的、高精度的求解若干线性、非线性结构重分析问题的计算方法。研究设计参数发生较大变化时，结构的屈曲荷载、后屈曲状态的变化；研究结构参数较大修改对结构的静力响应，固有频率、固有振型的影响，本课题的研究对大型结构的设计、优化将起到一定的促进作用。.