سال انتشار: ۱۳۹۱

محل انتشار: کنفرانس بین المللی مدل سازی غیر خطی و بهینه سازی

تعداد صفحات: ۸

نویسنده(ها):

Alireza. Khatami – Department of mechanical engineering- Islamic Azad university of Jouybar- Iran
Mohamad. Ramzani – Department of mechanical engineering- Islamic Azad university of Jouybar

چکیده:

In this paper three methods are applied to derive approximate analytical solution for motion of mechanical oscillator, which are called Max-Min Approach (MMA), Amplitude Frequency Formulation (AFF) and Modified Homotopy Perturbation Method (MHPM). In the nonlinear problem of this paper, all of these three methods yield same results. In comparison with forth-order runge-kutta method which is powerful numerical solution, theresults demonstrate that these methods are very convenient for solving nonlinear equations and also can be used for wide range of time and boundary conditions for nonlinear oscillators