Eigenvalue and eigenvector computation for discrete and continuous structures composed of viscoelastic materials

被引：33
|
作者：
Singh, Kumar Vikram [1 ]
机构：
[1] Miami Univ, Dept Mech & Mfg Engn, 650 E High St,GAR 056L, Oxford, OH 45056 USA
来源：
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 2016年 / 110卷
关键词：
Nonlinear eigenvalue problems; Left and right eigenvectors; Numerical method; Viscoelastic material; Discrete and continuous systems; Sensitivity; EIGENSOLUTION DERIVATIVES; NUMERICAL-METHOD; VIBRATION; SYSTEMS; MATRIX; SENSITIVITIES; EIGENPROBLEM; ASSIGNMENT; ALGORITHMS; DYNAMICS;
D O I：
10.1016/j.ijmecsci.2016.03.009
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Both discrete and continuous structures, with frequency and/or temperature dependent viscoelastic elements, gives rise to a nonlinear eigenvalue problem. An accurate computation of eigenvalues (natural frequencies) and eigenvectors (mode shapes) is essential for control, design sensitivities, and optimization studies. In this paper, a pth order approximation of a general nonlinear eigenvalue problem is formulated. A numerical approach to simultaneously compute the eigenvalues and associated left and right eigenvectors is presented. This method can be used for both discrete and continuous systems with viscoelastic elements. Numerical examples are presented here to demonstrate its effectiveness and for the validation purposes. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：127 / 137
页数：11
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