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

Aytekin Eryılmaz | Zendy; Mehmet Tarık Atay | Zendy; Safa Bozkurt Coşkun | Zendy; Musa Başbük | Zendy

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

Author(s) -

Aytekin Eryılmaz,

Mehmet Tarık Atay,

Safa Bozkurt Coşkun,

Musa Başbük

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/341063

Subject(s) - buckling , homotopy analysis method , euler's formula , mathematics , nonlinear system , homotopy perturbation method , ordinary differential equation , homotopy , partial differential equation , critical load , mathematical analysis , euler equations , euler method , differential equation , structural engineering , physics , quantum mechanics , pure mathematics , engineering

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

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