MODE LOCALIZATION DUE TO SYMMETRY-BREAKING NONLINEARITIES

被引：10

作者：

Pierre, Christophe ^{[1
]}

Shaw, Steven W. ^{[2
]}

机构：

[1] Univ Michigan, Dept Mech Engn & Appl Mech, Ann Arbor, MI 48109 USA

[2] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1991年 / 1卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1142/S0218127491000361

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present some ideas regarding the occurrence of mode localization in nonlinear structural systems. Preliminary analytical and numerical findings indicate that even if the linearized system has perfect periodicity, and thus cannot feature localized behavior, severe localization may occur in the nonlinear system when nonlinear terms break symmetry. These symmetry-breaking nonlinear terms play the same role as disorder does in nearly periodic linear systems.

引用

页码：471 / 475

页数：5

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