A method for obtaining approximate analytic periods for a class of nonlinear oscillators

被引：66

作者：

Wu, BS ^{[1
]}

Li, PS ^{[1
]}

机构：

[1] Jilin Univ, Dept Math, Mech Sect, Changchun 130012, Peoples R China

来源：

MECCANICA | 2001年 / 36卷 / 02期

基金：

中国国家自然科学基金;

关键词：

nonlinear equation; linearization; harmonic balance; nonlinear dynamics;

D O I：

10.1023/A:1013067311749

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

This paper deals with nonlinear oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. By combining the linearization of the governing equation with the method of harmonic balance, we establish two approximate analytic formulas for the period. These two formulas are valid for small as well as large amplitudes of oscillation. Three examples are used to illustrate that the proposed formulas can give very satisfactory approximate results.

引用

页码：167 / 176

页数：10

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