Analytical methods for solving nonlinear motion of simple pendulum attached to a rotating rigid frame
Publish Year: 1391
Type: Conference paper
Language: English
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Document National Code:
ICNMO01_032
Index date: 9 March 2013
Analytical methods for solving nonlinear motion of simple pendulum attached to a rotating rigid frame abstract
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
Analytical methods for solving nonlinear motion of simple pendulum attached to a rotating rigid frame Keywords:
Nonlinear oscillation , Max min approach , Amplitude frequency formulation , Modified Homotopy Perturbation Method , Analytical solution
Analytical methods for solving nonlinear motion of simple pendulum attached to a rotating rigid frame authors
Alireza. Khatami
Department of mechanical engineering- Islamic Azad university of Jouybar- Iran
Mohamad. Ramzani
Department of mechanical engineering- Islamic Azad university of Jouybar
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