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The Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation
Structural Engineering and Mechanics (2011)
  • Baki Ozturk, Hacettepe University
  • Safa Bozkurt Coskun, Kocaeli University
Abstract

In this study, the homotopy perturbation method (HPM) is applied to free vibration analysis of beam on elastic foundation. This numerical method is applied on three different axially loaded cases, namely: 1) one end fixed, the other end simply supported; 2) both ends fixed and 3) both ends simply supported cases. Analytical solutions and frequency factors are evaluated for different ratios of axial load N acting on the beam to Euler buckling load, Nr. The application of HPM for the particular problem in this study gives results which are in excellent agreement with both analytical solutions and the variational iteration method (VIM) solutions for all the cases considered in this study and the differential transform method (DTM) results available in the literature for the fixed-pinned case.

Keywords
  • HPM,
  • Homotopy Perturbation Method,
  • Free Vibration,
  • BEF,
  • Beam on Elastic Foundation
Publication Date
2011
Citation Information
Baki Ozturk and Safa Bozkurt Coskun. "The Homotopy Perturbation Method for free vibration analysis of beam on elastic foundation" Structural Engineering and Mechanics Vol. 37 Iss. 4 (2011)
Available at: http://works.bepress.com/sbcoskun/1/