HE'S ITERATION PERTURBATION METHOD TO NONLINEAR OSCILLATIONS OF MECHANICAL SYSTEMS WITH SINGLE-DEGREE-OF FREEDOM

被引：10

作者：

Ganji, D. D. ^{[2
]}

Karimpour, S. ^{[1
]}

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

机构：

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

[2] Babol Univ Technol, Dept Civil & Mech Engn, Babol Sar, Iran

[3] Azad Islam Univ, Sci & Res Branch, Dept Civil & Transport Engn, Tehran, Iran

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2009年 / 23卷 / 11期

关键词：

Iteration Perturbation method (IPM); nonlinear oscillation; equation of motion; nonlinear free vibration; VARIATIONAL APPROACH; FREE-VIBRATION; APPROXIMATE; BALANCE; BIFURCATION; EXPANSION; EQUATIONS; FORCE;

D O I：

10.1142/S0217979209052406

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In this study, an accurate analytical solution for the nonlinear free vibration of a conservative oscillator with inertia and static type cubic nonlinearities is derived. This solution has been obtained using Iteration Perturbation method (IPM). This study shows that IPM leads to an accurate analytical solution, which is valid for a wide range of considered system parameters. The excellent accuracy of current results is demonstrated by comparing with available analytical and numerical results.

引用

页码：2469 / 2477

页数：9

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