Non-probabilistic interval analysis method for dynamic response analysis of nonlinear systems with uncertainty

被引：106
|
作者：
Qiu, Zhiping [1 ]
Ma, Lihong [1 ]
Wang, Xiaojun [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Inst Solid Mech, Beijing 100083, Peoples R China
来源：
JOURNAL OF SOUND AND VIBRATION | 2009年 / 319卷 / 1-2期
关键词：
STOCHASTIC STRUCTURES; RANDOM-EXCITATION; PARAMETERS;
D O I：
10.1016/j.jsv.2008.06.006
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
Effects of uncertainties on the dynamic response of the nonlinear vibration systems with general form are investigated. Based on interval mathematics, modeling the uncertain parameters as interval numbers, a non-probabilistic interval analysis method, which estimates the range of the nonlinear dynamic response with the help of Taylor series expansion, is presented, where the partial derivatives of the dynamic response with respect to uncertain parameters ire considered to be interval numbers. The sensitivity matrices of dynamic response with the uncertain parameters are derived. For the presented method, only the bounds on uncertain parameters are needed, instead of probabilistic density distribution or statistical quantities. Numerical examples are used to illustrate the validity and feasibility of the presented method. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：531 / 540
页数：10
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