AN INVARIANT MANIFOLD APPROACH TO NONLINEAR NORMAL-MODES OF OSCILLATION

被引：36

作者：

SHAW, SW ^{[1
]}

机构：

[1] UNIV MICHIGAN,DEPT MECH ENGN & APPL MECH,ANN ARBOR,MI 48109

来源：

JOURNAL OF NONLINEAR SCIENCE | 1994年 / 4卷 / 05期

关键词：

NONLINEAR VIBRATIONS; NONLINEAR OSCILLATIONS; INVARIANT MANIFOLDS; NORMAL MODES; GALERKIN;

D O I：

10.1007/BF02430640

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method for determining the amplitude-dependent mode shapes and the corresponding modal dynamics of weakly nonlinear vibratory systems is described. The method is a combination of a Galerkin projection and invariant manifold techniques and is applied to a class of distributed parameter vibratory systems. In this paper the general theory for a class of conservative systems is outlined and applied to determine the nonlinear mode shapes and modal dynamics of a linear Euler-Bernoulli team attached to a nonlinear elastic foundation.

引用

页码：419 / 448

页数：30

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