相同子结构串的本征对问题及展开解法

本文讲述了串连式子结构的分析计算方法,它相当于结构分析中按横截面展开的方法。文中讲述了移位不变法以及初参数与传递矩阵法两个方面,并指明了两种方法的联合运用及相互关系,截面上本征值问题的计算以及按本征向量展开等问题。

THE EIGENVALUE PROBLEM OF THE CHAIN OF IDENTICALSUBSTRUCTURES AND THE EXPANSION METHODSOLUTION BASED ON THE EIGENVECTORS

Analytical method to the chain of identical substructures is treated in this paper. The nalysis can also be applied to the semi-analytical method in the mathematical physics, that is to make discretization to the transverse cross section and then solve the differential equations along the longitudinal direction. Two methods are treated concurrently, i.e. the method of shifting invariance and the method of initial parameters and transfer matrices. The mutual relation between these two methods is explained. The eigenvalue probelms on the cross section and the problem of expansion based on the eigenvectors are given in this paper.