Dynamic analysis of redesigned systems using algebraic method  

作　　者：王萬益 廖建義 洪勵吾 

机构地区：[1]Department of Mechanical Engineering, National Central University [2]Chung-Sun Institute of Science and Technology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2010年第2期183-192,共10页应用数学和力学（英文版）

摘　　要：This study investigates the redesign of a structural system with the matrix modification. The inertia congruence transformation is adopted to find the latent roots of a dynamic stiffness matrix, and a method for determining its eigenvalue is proposed. The characteristics of the latent vector for a known latent root and a method for computing it are studied. The mode shapes of the redesigned structure must be differently handled based on whether the structure exhibits persistent or non-persistent natural frequencies.This study investigates the redesign of a structural system with the matrix modification. The inertia congruence transformation is adopted to find the latent roots of a dynamic stiffness matrix, and a method for determining its eigenvalue is proposed. The characteristics of the latent vector for a known latent root and a method for computing it are studied. The mode shapes of the redesigned structure must be differently handled based on whether the structure exhibits persistent or non-persistent natural frequencies.

关 键 词：congruence transformation latent root latent vector diagonal pivoting 

分 类 号：O322[理学—一般力学与力学基础]