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
收藏
页码：751 / 762
页数：12
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