Analytical methods for solving nonlinear motion of simple pendulum attached to a rotating rigid frame

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, the results 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

کلیدواژه ها:

Nonlinear oscillation ، Max min approach ، Amplitude frequency formulation ، Modified Homotopy Perturbation Method ، Analytical solution