ANALYSIS OF TILT‐BUCKLING OF EULER COLUMNS WITH VARYING FLEXURAL STIFFNESS USING HOMOTOPY PERTURBATION METHOD-Reference-Cited by-同舟云学术

ANALYSIS OF TILT‐BUCKLING OF EULER COLUMNS WITH VARYING FLEXURAL STIFFNESS USING HOMOTOPY PERTURBATION METHOD

Published:2010-07-15 Issue:3 Volume:15 Page:275-286
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Coşkun Safa Bozkurt¹

Affiliation:

1. Kocaeli University, Faculty of Engineering, Department of Civil Engineering Umuttepe Campus, 41380, Kocaeli, Turkey

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.

Publisher

Vilnius Gediminas Technical University

Subject

Modelling and Simulation,Analysis

Reference31 articles.

1. Buckling of Variable Cross‐Section Columns: Integral‐Equation Approach

2. Determination of Critical Buckling Loads for Variable Stiffness Euler Columns Using Homotopy Perturbation Method

3. Elastic stability of Euler columns with a continuous elastic restraint using variational iteration method

4. Convergence of the homotopy perturbation method for partial differential equations

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