Modified Lindstedt-Poincare method for a strongly non-linear two degree-of-freedom system

被引：40

作者：

Chen, SH ^{[1
]}

Cheung, YK ^{[1
]}

机构：

[1] UNIV HONG KONG,DEPT CIVIL & STRUCT ENGN,HONG KONG,HONG KONG

来源：

JOURNAL OF SOUND AND VIBRATION | 1996年 / 193卷 / 04期

关键词：

D O I：

10.1006/jsvi.1996.0313

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A modified Lindstedt-Poincare (L-P) method for extending the validity of perturbation expansions to strongly non-linear oscillations of two-degree-of-freedom (DOF) systems is presented. A parameter transformation alpha = alpha(epsilon, omega(0), omega(1)) is adopted such that a strongly non-linear system with a large parameter epsilon is transformed into a small parameter system with respect to alpha: A typical cubic non-linear system in the form of a clamped-hinged beam is used to show its essential features. Three examples are presented to show the efficiency and the advantages of this method. (C) 1996 Academic Press Limited

引用

页码：751 / 762

页数：12

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