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.
Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method
A. Eryilmaz,M. Atay,S. Coskun,Musa Basbük
Published 2013 in Journal of Applied Mathematics
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- Publication year
2013
- Venue
Journal of Applied Mathematics
- Publication date
2013-02-27
- Fields of study
Mathematics, Computer Science, Engineering
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