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Self-shape optimisation application: Optimisation of cold-formed steel columns

机译:自形状优化应用:冷弯钢柱的优化

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摘要

This paper presents the optimisation of cold-formed steel open columns using the recently developed self-shape optimisation method that aims to discover new profile shapes. The strength of the cold-formed steel sections is calculated using the Direct Strength Method, and the rules developed in the present work to automatically determine the local and distortional elastic buckling stresses from the Finite Strip and constrained Finite Strip Methods are discussed. The rules are verified against conventional and optimum sections yielded in this research, and found to accurately predict the elastic buckling stresses. The optimisation method is applied to singly-symmetric (mono-symmetric) cold-formed steel columns, and the operators behind the method for the special case of singly-symmetric open profiles are introduced in this paper. "Optimum" cross-sections for simply supported columns, 1.2 mm thick, free to warp and subjected to a compressive axial load of 75 kN are presented for column lengths ranging from 1000 to 2500 mm. Results show that the optimum cross-sections are found in a relatively low number of generations, and typically shape to non-conventional "bean", "oval" or rounded "S" sections. The algorithm optimises for distortional and global buckling, therefore likely subjecting the cross-sections to buckling interaction. A manual attempt to redraw the "optimum" cross-sections to include limitations of current manufacturing processes is made. Future developments of the method for practical applications are also discussed.
机译:本文介绍了使用最近开发的旨在发现新轮廓形状的自形状优化方法对冷弯型钢裸柱进行的优化。使用直接强度法计算冷弯型钢的强度,并讨论了本工作中开发的用于自动确定有限条和约束有限条方法的局部和变形弹性屈曲应力的规则。该规则针对本研究得出的常规截面和最佳截面进行了验证,并发现它们可以准确预测弹性屈曲应力。将优化方法应用于单对称(单对称)冷弯型钢柱,并介绍了单对称开放型材特殊情况下该方法的运算符。对于长度在1000至2500 mm范围内的柱,给出了1.2 mm厚,不易翘曲并承受75 kN压缩轴向载荷的简单支撑柱的“最佳”横截面。结果表明,最佳的横截面是在相对较少的世代中发现的,并且通常成形为非常规的“豆”形,“卵形”或圆形“ S”形。该算法针对变形和整体屈曲进行了优化,因此很可能使横截面经受屈曲相互作用。手动尝试重新绘制“最佳”横截面以包括当前制造工艺的限制。还讨论了该方法在实际应用中的未来发展。

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