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. Semi-analytical solutions for optimal design of columns based on Hencky bar-chain model Engineering Structures   Check publisher's open access policy 1873-73230141-0296 2017-04-01 Article (original research) 10.1016/j.engstruct.2017.01.011 Not yet assessed 136 87 99 13 Kidlington, Oxford, United Kingdom Pergamon Press eng 2205 Civil and Structural Engineering 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. BucklingDiscrete link-spring modelDistributed loadHencky bar-chainOptimizationSelfweight C1 Provisional Code UQ

 Document type: Journal Article Article (original research) School of Civil Engineering Publications HERDC Pre-Audit

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