AN INVARIANT MANIFOLD APPROACH TO NONLINEAR NORMAL-MODES OF OSCILLATION

被引：34
|
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
收藏
页码：419 / 448
页数：30
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