摘要
本文提出了一种非对称矩阵特征值问题的密集模态重分析方法。它将原密集特征值问题表达为与其临近的某一重特征值问题的小摄动,从而密集模态的重分析问题就转化为重频模态的重分析问题。
A new reanalysis method is presented in this paper of closely spaced eigenvalues and corresponding eigenvectors in non-self-adjoint vibration system. The reanalysis problem of closely spaced eigenvalues and eigenvectors is transformed into one of repeated eigenvalues and eigenvectors, by expressing the original system as a perturbed system with repeated eigenvalues which is near to the original system. The procedure is illustrated by an numerical example.
基金
国家自然科学基金
关键词
密集模态
重分析
结构力学
振动
non-self-adjoint vibration system, closely spaced eigenvalues, reanalysis, perturbation of eigensolutions
