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IN THIS PAPER THE NONLINEAR FORCED VIBRATION OF AN ORTHOTROPIC CIRCULAR ÂPLATE RESTING ON WINKLER, PASTERNAK AND NONLINEAR WINKLER FOUNDATION ÂIS INVESTIGATED. PLATES WITH EDGES ELASTICALLY RESTRAINED AGAINST ROTATION ÂAND INPLANE DISPLACEMENT ARE ANALYZED AND THE VON-KARMAN GEOMETRIC ÂNONLINEAR EQUATIONS ARE EMPLOYED. IN THIS STUDY IT IS ASSUMED THAT THE ÂPLATE CAN BE SUBJECTED TO ANY PERIODIC DISTRIBUTED LATERAL LOADING WITH ÂRESPECT TO TIME. THE GALERKIN METHOD IS USED TO OBTAIN DUFFING'S ÂEQUATION FOR THE CENTRAL DEFLECTION. THE HOMOTOPY PERTURBATION ÂMETHOD WAS USED TO STUDY THE EFFECTS OF VARIOUS PARAMETERS INCLUDING ÂORTHOTROPIC PARAMETER, ELASTIC FOUNDATION PARAMETERS AND INITIAL ÂDEFLECTION ON FREQUENCY RATIO. HIGHLY ACCURATE RESULTS WERE OBTAINED ÂBY THE APPLICATION OF THE AFOREMENTIONED METHOD.Â

Assessment of Homotopy Perturbation Method for Study the Forced Nonlinear Vibration of Orthotropic Circular Plate on Elastic Foundation