Semi-analytical solutions for optimal design of columns based on Hencky bar-chain model

Zhang, H., Wang, C. M., Challamel, N. and Ruocco, E. (2017) Semi-analytical solutions for optimal design of columns based on Hencky bar-chain model. Engineering Structures, 136 87-99. doi:10.1016/j.engstruct.2017.01.011

Author Zhang, H.
Wang, C. M.
Challamel, N.
Ruocco, E.
Title Semi-analytical solutions for optimal design of columns based on Hencky bar-chain model
Journal name Engineering Structures   Check publisher's open access policy
ISSN 1873-7323
Publication date 2017-04-01
Sub-type Article (original research)
DOI 10.1016/j.engstruct.2017.01.011
Open Access Status Not yet assessed
Volume 136
Start page 87
End page 99
Total pages 13
Place of publication Kidlington, Oxford, United Kingdom
Publisher Pergamon Press
Language eng
Subject 2205 Civil and Structural Engineering
Abstract This paper is concerned with the shape optimization problem of columns for a given volume and length against buckling by using the discrete link-spring model or the so-called Hencky bar-chain model (HBM). This discrete beam model comprises a finite number of rigid segments connected by frictionless hinges and rotational springs. In particular, the rotational spring stiffness of HBM is a function of the square of cross-sectional area of columns with regular polygonal or circular cross-sectional shape. Therefore, the design of optimal rotational spring stiffnesses of a HBM allows one to obtain the optimal shape of a column provided that the assumed number of springs is sufficiently large. The present formulation of HBM for column optimization is prompted by some discrepancies in the volume calculations and the specification of the spring stiffness at the clamped end in Krishna and Ram (2007) discrete link-spring model formulation. By using the correct formulation and the semi-analytical method proposed by Krishna and Ram (2007), we determine the optimal shape of clamped-free, pinned-pinned, clamped-spring-supported columns. In addition, we extend the semi-analytical method to optimize the shape of clamped-free columns under distributed loads. Also presented herein are exact buckling solutions for the uniform HBM under axial load and selfweight as well as the non-uniform HBM under axial load with a specific class of spring stiffnesses.
Keyword Buckling
Discrete link-spring model
Distributed load
Hencky bar-chain
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
HERDC Pre-Audit
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 2 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 3 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Tue, 31 Jan 2017, 00:21:27 EST by System User on behalf of Learning and Research Services (UQ Library)