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Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method

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  • Aytekin Eryılmaz
  • M. Tarık Atay
  • Safa B. Coşkun
  • Musa Başbük

Abstract

Homotopy Analysis Method (HAM) is applied to find the critical buckling load of the Euler columns with continuous elastic restraints. HAM has been successfully applied to many linear and nonlinear, ordinary and partial, differential equations, integral equations, and difference equations. In this study, we presented the application of HAM to the critical buckling loads for Euler columns with five different support cases continuous elastic restraints. The results are compared with the analytic solutions.

Suggested Citation

  • Aytekin Eryılmaz & M. Tarık Atay & Safa B. Coşkun & Musa Başbük, 2013. "Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, February.
    • Handle: RePEc:hin:jnljam:341063
    DOI: 10.1155/2013/341063
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