Approximate Solutions to a Cantilever Beam Using Optimal Homotopy Asymptotic Method

Abstract:

The response of a cantilever beam with a lumped mass attached to its free end subject to harmonical excitation at the base is investigated by means of the Optimal Homotopy Asymptotic Method (OHAM). Approximate accurate analytical expressions for the solutions and for approximate frequency are determined. This method does not require any small parameter in the equation. The obtained results prove that our method is very accurate, effective and simple for investigation of such engineering problems.

• Periodical: Applied Mechanics and Materials (Volume 430)
• Pages: 22-26
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.430.22
• Online since: September 2013
• Authors: Vasile Marinca, Nicolae Herisanu, Traian Marinca
• Keywords: Nonlinear Parametric Vibration, Optimal Homotopy Asymptotic Method

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