A MODIFIED LINDSTEDT-POINCARE METHOD FOR CERTAIN STRONGLY NONLINEAR OSCILLATORS

被引：183

作者：

CHEUNG, YK ^{[1
]}

CHEN, SH ^{[1
]}

LAU, SL ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 1991年 / 26卷 / 3-4期

关键词：

D O I：

10.1016/0020-7462(91)90066-3

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A modified Lindstedt-Poincare' method is presented for extending the range of the validity of perturbation expansions to strongly non-linear oscillation of single degree-of-freedom systems. A new parameter alpha = alpha-(epsilon), which differs from Jones' and Burton's, is defined such that the value of alpha is always kept small regardless of the magnitude of the original parameter epsilon. Therefore, a strongly non-linear system with large parameter epsilon is transformed into a small parameter system with respect to alpha. This method is suitable for the system with even non-linearities as well as with odd non-linearities.

引用

页码：367 / 378

页数：12

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