Analysis of Tilt-Buckling of Euler Columns with Varying Flexural Stiffness Using Homotopy Perturbation Method

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Coskun S. B.

MATHEMATICAL MODELLING AND ANALYSIS, vol.15, no.3, pp.275-286, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 3
  • Publication Date: 2010
  • Doi Number: 10.3846/1392-6292.2010.15.275-286
  • Journal Name: MATHEMATICAL MODELLING AND ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.275-286
  • Keywords: homotopy perturbation method, tilt-buckling, Euler column, elastic stability, ELEMENTARY INTRODUCTION, LOADS, BARS, FLOW
  • Kocaeli University Affiliated: Yes

Abstract

In this paper, the Homotopy Perturbation Method (HPM), is introduced for elastic stability analysis of tilt-buckled columns with variable flexural stiffness. Buckling loads and corresponding mode shapes are determined considering different types of variations in flexural stiffness of columns. The proposed approach is an efficient technique for the elastic stability analysis of specified problems.