Reduced-order models of weakly nonlinear spatially continuous systems

被引：54
作者：
Nayfeh, AH [1 ]
机构：
[1] Virginia Polytech Inst & State Univ, Dept Engn Sci & Mech, Blacksburg, VA 24061 USA
来源：
NONLINEAR DYNAMICS | 1998年 / 16卷 / 02期
基金：
美国国家科学基金会;
关键词：
galerkin procedure; reduced-order models; distributed-parameter systems; buckled beams;
D O I：
10.1023/A:1008281121523
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
Methods for the study of weakly nonlinear continuous (distributed-parameter) systems are discussed. Approximate solution procedures based on reduced-order models via the Galerkin method are contrasted with direct application of the method of multiple scales to the governing partial-differential equations and boundary conditions. By means of several examples and an experiment, Nayfeh and co-worker had shown that reduced-order models of nonlinear continuous systems obtained via the Galerkin procedure can lead to erroneous results. A method is developed for producing reduced-order models that overcomes the shortcomings of the Galerkin procedure. Treatment of these models yields results in agreement with those obtained experimentally and those obtained by directly attacking the continuous system.
引用
收藏
页码：105 / 125
页数：21
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