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A kinematic stability repair algorithm for planar truss topology via geometric decomposition

机译:通过几何分解的平面桁架拓扑运动稳定性修复算法

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Topology optimization of trusses is one of the most inviting topics in the structural optimization field. In search for the computational efficiency, researchers have implemented many algorithms for this problem. With the advent of metaheuristic algorithms, structural optimization problems have become simpler to model; however, solution of these problems remains computationally expensive. The design candidates are generated by adding and removing the members heuristically and kinematically unstable candidates are mostly eliminated in metaheuristic truss topology optimization procedures. These procedures have a major flaw that needs to be overcome; metaheuristic algorithms may discard a promising but unstable design candidate although it can be repaired by adding and/or removing a few members. This study presents an algorithm to repair kinematically unstable planar truss design candidates. The algorithm first builds the connectivity matrix of the unstable candidates and identifies the structural components through geometric decomposition. Then, the repair takes place by adding and/or removing as less members as possible systematically in the conditions as absence of a basic truss and existence of unconnected or improperly connected components, supports, forces and/or remaining members. In addition, the presented algorithm gives information on how close is a candidate to a kinematically stable configuration. (C) 2020 Elsevier Ltd. All rights reserved.
机译:桁架的拓扑优化是结构优化领域中最受欢迎的主题之一。在寻找计算效率中,研究人员已经为此问题实现了许多算法。随着地图论算法的出现,结构优化问题变得更简单;但是,这些问题的解决方案仍然是计算昂贵的。设计候选人是通过在成群质训练拓扑优化程序中添加和删除成员而删除的成员而产生的成员生成。这些程序需要克服的主要缺陷;虽然可以通过添加和/或删除一些成员来修复,所以遗传算法可能会丢弃有希望但不稳定的设计候选者。本研究介绍了一种修复运动环境不稳定的平面桁架设计候选者的算法。该算法首先通过几何分解构建不稳定候选者的连接矩阵,并通过几何分解来识别结构组件。然后,通过在缺少基本桁架的条件下系统地添加和/或在缺乏基本桁架的情况下和不连接的组件,支持,力和/或剩余成员的情况下,通过添加和/或将其作为较少的成员添加和/或删除修复。此外,所提出的算法提供有关在运动学稳定配置的候选者接近的信息。 (c)2020 elestvier有限公司保留所有权利。

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