Analytical solutions to nonlinear conservative oscillator with fifth-order nonlinearity

被引：0
作者：
M. G. Sfahani
S. S. Ganji
Amin Barari
H. Mirgolbabaei
G. Domairry
机构：
[1] Babol University of Technology,Departments of Civil and Mechanical Engineering
[2] Islamic Azad University,Department of Transportation Engineering
[3] Science and Research Branch,Department of Civil Engineering
[4] Aalborg University,undefined
[5] Department of Mechanical Engineering Islamic Azad University,undefined
[6] Ghaemshahr branch,undefined
来源：
Earthquake Engineering and Engineering Vibration | 2010年 / 9卷
关键词：
non-linear oscillation; homotopy perturbation method (HPM); max-min approach (MMA); Rung-Kutta method (R-KM); large amplitude free vibrations;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper describes analytical and numerical methods to analyze the steady state periodic response of an oscillator with symmetric elastic and inertia nonlinearity. A new implementation of the homotopy perturbation method (HPM) and an ancient Chinese method called the max-min approach are presented to obtain an approximate solution. The major concern is to assess the accuracy of these approximate methods in predicting the system response within a certain range of system parameters by examining their ability to establish an actual (numerical) solution. Therefore, the analytical results are compared with the numerical results to illustrate the effectiveness and convenience of the proposed methods.
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页码：367 / 374
页数：7
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