摘要
本文采用子空间迭代法将工程结构高阶动力系统减缩为低阶动力系统，然后用Ｃｏｌｌａｔｚ包含定理的推广求出该结构系统的最低阶固有频率。
In this paper, subspace iteration is used to reduce high-order dynamic systems to loworder ones. The Collatz inclusion theorem is extended to Generalized Eigenvalue problems. When the mass matrix or stiffness matrix is positive definite symmetric matrix, the generalized eigenvalue problem is reduced to standard eigenvalue problem by using Cholesky decomposition. The fundamental natural frequency of low-order system is obtained from decomposition of mass matrix and stiffness matrix. To verify the theory, a beam with fixed ends is token as example. The computed result is compared favorably with the exact solution
出处
《工程力学》
EI
CSCD
北大核心
2001年第4期13-17,共5页
Engineering Mechanics
基金
国家自然科学基金资助项目(19672033)
