Some closed-form solutions for buckling of straight beams with varying cross-section by Variational Iteration Method with Generalized Lagrange Multipliers

Year 2018, Volume: 10 Issue: 3, 159 - 175, 04.11.2018

Ugurcan Eroglu , Ekrem Tüfekci

https://doi.org/10.24107/ijeas.457535

Cited By: 2

Abstract

This
study aims to derive approximate closed-form solutions for critical loads of
straight beams with variable cross-section. The governing equations are derived
for purely flexible beam for small displacements and rotation and turned into
non-dimensional form. Approximate solutions to the set of equations for stability
problems are searched by Variational Iteration Method with Generalized Lagrange
Multipliers. It turns out that highly accurate approximate buckling loads of cantilever
beams with variable section can be obtained in closed-form. Many novel
closed-form solutions for critical load of such structures, which may serve as
benchmark solutions, are presented.

Keywords

beam theory, closed-form solutions, variational iteration method, buckling

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