Publications (4) View all
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Article: Application of the Hamiltonian Approach to Nonlinear Vibrating Equations
M. Akbarzade, A. KargarMathematical and Computer Modelling. 01/2011; -
SourceAvailable from: m-hikari.com
Article: Coupled Method of Homotopy Perturbation Method and Variational Approach for Solution to Nonlinear Cubic-Quintic Duffing Oscillator
Mehdi Akbarzade, D D Ganji[show abstract] [hide abstract]
ABSTRACT: This paper presents a new approach for solving approximate analytical higher order solutions for strong nonlinear Duffing oscillators with cubic-quintic nonlinear restoring force. The system is conservative and with odd nonlinearity. The new approach couples Homotopy Perturbation Method with Variational method. These approximate solutions are valid for small as well as large amplitudes of oscillation. In addition, it is not restricted to the presence of a small parameter such as in the classical perturbation method. Illustrative examples are presented to verify accuracy and explicitness of the approximate solutions.Appl. Mech. 01/2010; 3:329-337. -
Article: HE’S ENERGY BALANCE METHOD TO EVALUTE THE EFFECT OF AMPLITUDE ON THE NATURAL FREQUENCY IN NONLINEAR VIBRATION SYSTEMS
H. Babazadeh, D. D. Ganji, M. AkbarzadeProgress In Electromagnetics Research M. 01/2008; -
Article: APPLICATION OF THE ENERGY BALANCE METHOD FOR STRONGLY NONLINEAR OSCILLATORS
H. Pashaei, D. D. Ganji, M. AkbarzadeProgress In Electromagnetics Research M. 01/2008;