Approximate Analytical Solutions to Nonlinear Vibrations of a Thin Elastic Plate

Abstract:

In this paper we consider the propagation equation of the longitudinal elastic wave in the presence of the volume forces, taking into account the shear phenomena of a thin elastic plate. In order to find an approximate analytical solutions of the governing system we apply Optimal Homotopy Asymptotic Method (OHAM). This technique combines the features of the homotopy concept with an efficient computational algorithm which provides a simple and rigorous procedure to control the convergence of the solution. An excellent agreement is found between the results obtained using OHAM and numerical integration results.

• Periodical: Applied Mechanics and Materials (Volume 430)
• Pages: 40-44
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.430.40
• Online since: September 2013
• Authors: Remus D. Ene, Vasile Marinca, Bogdan Marinca
• Keywords: Nonlinear Partial Differential Equations, Optimal Homotopy Asymptotic Method, Thin Elastic Plate

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