A new state-space method for exponentially damped linear systems

被引：20

作者：

Wu, Xinhai ^{[1
]}

He, Huan ^{[1
,2
]}

Chen, Guoping ^{[1
,2
]}

机构：

[1] State Key Lab Mech & Control Mech Struct, Nanjing 210016, Jiangsu, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Inst Vibrat Engn Res, Nanjing 210016, Jiangsu, Peoples R China

来源：

COMPUTERS & STRUCTURES | 2019年 / 212卷

基金：

中国国家自然科学基金;

关键词：

State-space method; Exponential damping model; Eigensolution; Frequency response function; Dynamic response; STRUCTURAL SYSTEMS; TIME-DOMAIN; IDENTIFICATION; DYNAMICS; INTEGRATION;

D O I：

10.1016/j.compstruc.2018.10.004

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A new state-space method is presented in this paper for linear systems with multiple exponential damping models. By introducing displacement vector and its derivatives as state variables, the original second-order differential equations involving convolution integrals are transformed into a state-space formulism. The iterative relationships are given to calculate all the coefficient matrices, loading vectors and initial conditions. Based on the extended state-space formulism, the eigensolutions, frequency response functions and dynamic responses can be calculated easily using mature techniques for first-order linear systems. Besides, a direct integration method for time-domain analysis based on the proposed stated-space formulism is presented. Two numerical examples are used to illustrate the proposed approach. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：137 / 144

页数：8

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