Multiparametric computation of eigenvalues for linear viscoelastic structures

被引：16

作者：

Lazaro, Mario ^{[1
]}

Perez-Aparicio, Jose L. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Dept Continuum Mech & Theory Struct, Valencia 46022, Spain

来源：

COMPUTERS & STRUCTURES | 2013年 / 117卷

关键词：

Viscoelastic structures; Complex eigenvalues; Damping parameters; Eigenvalue derivative; DYNAMIC-ANALYSIS; NUMERICAL-METHOD; TIME-DOMAIN; DERIVATIVES; SYSTEMS; EIGENSOLUTIONS; EIGENVECTORS; ALGORITHMS; VIBRATIONS; RATES;

D O I：

10.1016/j.compstruc.2012.12.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new methodology for the computation of complex eigenvalues for multi-degree-of-freedom linear viscoelastic structures is presented. It is assumed that damping matrix does not only depends on the frequency but also on a set of parameters that control the dissipative mechanisms. Eigenvalues are then functions of a multi-variable array formed by damping parameters. The key idea is to approximate the eigenvalues as solutions of a specially developed differential equation. Proportional and non-proportional damping are studied separately. In addition, the error order and the computational complexity are rigorously analyzed. Numerical examples show very good agreement between proposed and exact solutions. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：67 / 81

页数：15

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