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Fully parallel level set method for large-scale structural topology optimization

机译:大规模结构拓扑优化的完全平行级别集方法

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To realize large-scale or high-resolution structural topology optimization design, a fully parallel parameterized level set method with compactly supported radial basis functions (CSRBFs) is developed based on both the uniform and non-uniform structured meshes. In this work, the whole computation process is parallelized, including mesh generation, sensitivity analysis, calculation and assembly of the element stiffness matrices, solving of the structural state equation, parameterization and updating of the level set function, and output of the computational results during the optimization iterations. In addition, some typical numerical examples, in which the calculation scale is up to 7 million 8-node hexahedral elements, are carried out for verifying the effectiveness of the proposed method. Finally, the computing time is also analyzed in detail. It is found that: (1) In the optimized structures, the thin sheet-like components gradually replace the truss-like ones when refining the mesh, (2) the parameterization process of the level set function will become fast as long as the non-uniformity of mesh is not very high and the supported radius of CSRBF is small enough, and (3) more than 80% of the total computing time is always consumed for solving the structural state equation during the finite element analysis (FEA). (C) 2019 Elsevier Ltd. All rights reserved.
机译:为了实现大规模或高分辨率的结构拓扑优化设计,基于均匀和不均匀的结构网格开发了一种具有紧凑支持的径向基函数(CSRBFS)的全平行参数化级别的方法。在这项工作中,整个计算过程并行化,包括元素刚度矩阵的网格生成,灵敏度分析,计算和组装,解决结构状态方程,参数化和更新级别设定功能,以及计算结果的输出优化迭代。另外,用于验证所提出的方法的有效性,执行一些典型的数值示例,其中计算规模高达700万8节点六面六面元素。最后,还详细分析了计算时间。结果发现:(1)在优化的结构中,当精炼网格时,薄片状部件逐渐替换桁架状的组件,(2)级别设定功能的参数化过程只要非 - 啮齿物的均匀性不是很高,并且CSRBF的支撑半径足够小,并且(3)总始终消耗总计算时间的80%以用于在有限元分析(FEA)期间求解结构状态方程。 (c)2019 Elsevier Ltd.保留所有权利。

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