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

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Eryilmaz A., Atay M. T., COŞKUN S. B., Basbuk M.

JOURNAL OF APPLIED MATHEMATICS, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1155/2013/341063
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Kocaeli Üniversitesi Adresli: Evet

Özet

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.