Determination of Critical Buckling Loads for Euler Columns of Variable Flexural Stiffness with a Continuous Elastic Restraint Using Homotopy Perturbation Method


Coskun S. B.

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, vol.10, no.2, pp.191-197, 2009 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 2
  • Publication Date: 2009
  • Title of Journal : INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION
  • Page Numbers: pp.191-197

Abstract

In this paper, stability analysis of continuously restrained Euler columns of variable flexural stiffness is conducted by using homotopy perturbation method (HPM). The restraint considered in this study is an elastic foundation model in engineering practice and it is of great interest to foundation engineers. Critical buckling loads are investigated considering different end conditions. Obtaining analytical solutions for these types of problems was very difficult, now the condition is changed. The study proves that HPM is a very efficient and promising approach to the elastic stability analysis of specified problems.