Response of uncertain nonlinear vibration systems with 2D matrix functions

被引：55

作者：

Wen, BC ^{[1
]}

Zhang, YM

Liu, QL

机构：

[1] Northeastern Univ, Sch Mech Engn, Shenyang 110006, Peoples R China

[2] Jilin Univ Technol, Dept Mech, Changchun 130025, Peoples R China

来源：

NONLINEAR DYNAMICS | 1998年 / 15卷 / 02期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

response; nonlinear random vibration; random parameters; vector-valued and matrix-valued functions;

D O I：

10.1023/A:1008227108731

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper extends the response of uncertain nonlinear vibration systems to vector-valued and matrix-valued functions. Random variables and system derivatives are conveniently arranged into 2D matrices. The method is based on a second order expansion of the governing equations and matrix calculus, Kronecker algebra are used in the mathematical development. The results derived are easily amenable to computational procedures.

引用

页码：179 / 190

页数：12

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