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A revised discrete Lagrangian-based search algorithm for the optimal design of skeletal structures using available sections

机译：修改后的基于拉格朗日离散算法的搜索算法，可利用可用断面优化骨骼结构

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摘要

Issues relating to the application of the discrete Lagrangian method (DLM) to the discrete sizing optimal design of skeletal structures are addressed. The resultant structure, whether truss or rigid frame, is subjected to stress and displacement constraints under multiple load cases. The members’ sections are selected from an available set of profiles. A table that contains sectional properties for all the available profiles is used directly in structural optimization. Each profile in the table is assigned by a unique profile number, which is used as the integer design variable for each of the structural members. It is proposed that we use a revised DLM search algorithm with static weighting to design trusses and rigid frames for minimum weight. Five examples are used to demonstrate the feasibility of the method. It is shown that, for monotonic as well as nonmonotonic constraint functions, the DLM is effective and robust for the discrete sizing design of skeletal structures.
机译：解决了与将离散拉格朗日方法（DLM）应用于骨架结构的离散尺寸优化设计有关的问题。最终的结构，无论是桁架还是刚性框架，在多种载荷情况下都受到应力和位移的约束。成员部分是从一组可用的配置文件中选择的。包含所有可用轮廓的截面特性的表将直接用于结构优化。表中的每个轮廓由唯一的轮廓号分配，该编号用作每个结构构件的整数设计变量。建议我们使用带有静态权重的改良DLM搜索算法来设计桁架和刚性框架，以使权重最小。五个例子说明了该方法的可行性。结果表明，对于单调和非单调约束函数，DLM对于骨骼结构的离散大小设计都是有效且健壮的。

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