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Earthquakes and Structures
  Volume 9, Number 1, July 2015, pages 221-232

Analytical study of nonlinear vibration of oscillators with damping
Mahmoud Bayat, Mahdi Bayat and Iman Pakar

Abstract     [Full Text]
    In this study, Homotopy Perturbation Method (HPM) is used to solve the nonlinear oscillators with damping. We have considered two strong nonlinear equations to show the application of the method. The Runge-Kutta’s algorithm is used to obtain the numerical solution for the problems. The method works very well for the whole range of initial amplitudes and does not demand small perturbation and also sufficiently accurate to both linear and nonlinear physics and engineering problems. Finally to show the accuracy of the HPM, the results have been shown graphically and compared with the numerical solution.
Key Words
    Homotopy Perturbation Method (HPM); nonlinear vibrations; damping
Mahmoud Bayat, Mahdi Bayat: Department of Civil Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Iman Pakar: Young Researchers and Elite Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran

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