结构动力学逆特征值问题的同伦解法  

Homotopy Solution of the Inverse Generalized Eigenvalue Problems in Structural Dynamics

作　　者：李书[1] 王波[1] 胡继忠[1] 

机构地区：[1]北京航空航天大学五系飞机设计研究所,北京100083

出　　处：《应用数学和力学》2004年第5期529-534,共6页Applied Mathematics and Mechanics

基　　金：航空基础科学基金资助项目(02B51060);航空支撑科技基金资助项目(01A51007);凡舟基金资助项目

摘　　要：　将结构动力学反问题视为拟乘法逆特征值问题,利用求解非线性方程组的同伦方法来解决结构动力学逆特征值问题,这种方法由于沿同伦路径求解,对初值的选取没有本质的要求。The structural dynamics problems,such as structural design,parameter identification and model correction,are considered as a kind of the inverse generalized eigenvalue problems mathematically.The inverse eigenvalue problems are nonlinear.In general,they could be transformed into nonlinear equations to solve.The structural dynamics inverse problems were treated as quasi multiplicative inverse eigenalue problems which were solved by homotopy method for nonlinear equations.This method had no requirements for initial value essentially because of the homotopy path to solution.Numerical examples were presented to illustrate the homotopy method.

关 键 词：结构动力学 同伦方法 逆特征值问题 

分 类 号：O327[理学—一般力学与力学基础] O241.6[理学—力学]