Research PaperNo Access

Matrix Method for Buckling Analysis of Frames Based on Hencky Bar-Chain Model

W. H. Pan

School of Civil Engineering, The University of Queensland, St Lucia, Queensland 4072, Australia

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C. M. Wang

School of Civil Engineering, The University of Queensland, St Lucia, Queensland 4072, Australia

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, and

H. Zhang

School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, P. R. China

E-mail Address: hong.zhang@uq.edu.au

Corresponding author.

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https://doi.org/10.1142/S0219455419500937Cited by:10 (Source: Crossref)

Abstract

Presented herein is a matrix method for buckling analysis of general frames based on the Hencky bar-chain model comprising of rigid segments connected by hinges with elastic rotational springs. Unlike the conventional matrix method of structural analysis based on the Euler–Bernoulli beam theory, the Hencky bar-chain model (HBM) matrix method allows one to readily handle the localized changes in end restraint conditions or localized structural changes (such as local damage or local stiffening) by simply tweaking the spring stiffnesses. The developed HBM matrix method was applied to solve some illustrative example problems to demonstrate its versatility in solving the buckling problem of beams and frames with various boundary conditions and local changes. It is hoped that this easy-to-code HBM matrix method will be useful to engineers in solving frame buckling problems.

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