APPROXIMATE ANALYTICAL SOLUTIONS TO NONLINEAR OSCILLATIONS OF NON-NATURAL SYSTEMS USING HE'S ENERGY BALANCE METHOD

被引：15

作者：

Ganji, D. D. ^{[1
]}

Karimpour, S. ^{[1
,2
]}

Ganji, S. S. ^{[1
,3
]}

机构：

[1] Babol Univ Technol, Dept Civil & Mech Engn, POB 484, Babol Sar, Iran

[2] Semnan Univ, Dept Civil & Struct Engn, Semnan, Iran

[3] Azad Islamic Univ, Dept Civil & Transportat Engn, Sci & Res Branch, Tehran, Iran

来源：

PROGRESS IN ELECTROMAGNETICS RESEARCH M | 2008年 / 5卷

关键词：

D O I：

10.2528/PIERM08081501

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper applies He's Energy balance method (EBM) to study periodic solutions of strongly nonlinear systems such as nonlinear vibrations and oscillations. The method is applied to two nonlinear differential equations. Some examples are given to illustrate the effectiveness and convenience of the method. The results are compared with exact solutions which lead us showing a good accuracy. The method can be easily extended to other nonlinear systems and can therefore be found widely applicable in engineering and other science.

引用

页码：43 / 54

页数：12

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