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Shape optimisation of cold-formed steel profiles with manufacturing constraints – Part I: Algorithm

机译:具有制造限制的冷弯型钢的形状优化–第一部分:算法

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摘要

This paper presents a Genetic Algorithm optimisation method with manufacturing constraints for shape optimisation of cold-formed steel (CFS) profiles. Previous studies on unconstrained shape optimisation of CFS crosssections, where the sole aim was to optimise the weight-to-capacity ratio of the profiles, yielded cross-sections that cannot be manufactured. Current coldforming processes, such as roll-forming and brake-pressing, have limited ability to form continuously curved surfaces without discrete bends. This paper defines simple manufacturing rules and introduces them into the evolutionary algorithm. Augmented Lagrangian constraint-handling technique, with equality and inequality constrained violations, is used to avoid ill-conditioned problems. The ability and accuracy of the algorithm to handle the defined manufacturing constraints are verified by implementing it to optimise the section capacity of bisymmetric closed thin-walled profiles, for which an analytical solution is known.
机译:本文提出了一种具有制造约束条件的遗传算法优化方法,用于优化冷弯型钢(CFS)型材的形状。先前关于CFS横截面无约束形状优化的研究(其唯一目的是优化型材的重量/容量比)产生了无法制造的横截面。当前的冷成型工艺,例如辊压成型和制动压制,形成连续弯曲的表面而没有离散弯曲的能力有限。本文定义了简单的制造规则,并将其引入了进化算法。具有等式和不等式约束违例的增强拉格朗日约束处理技术可用于避免病态问题。通过执行算法来优化双对称封闭薄壁型材的截面承载能力,可以验证该算法处理定义的制造约束的能力和准确性,为此已知一种解析解决方案。

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