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Structural optimization based on meshless element free Galerkin and level set methods

机译:基于无网格无网格Galerkin和水平集方法的结构优化

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This paper is concentrated on the shape and topology optimization of 2D linear elastic problems using meshless element free Galerkin (EFG) method combined with the level set method (LSM). In this procedure, a level set function (LSF) is used for the implicit representation of the structural geometry, and thus ensuring appropriate essential topological changes to obtain optimized structures. Both the methods (EFG and LSM) use the same Cartesian grid points. Shape and topological sensitivities are evaluated by the EFG method and the structural geometry is updated through LSM. The algorithm is tested on five different standardized structural topology optimization problems for minimum compliance, subject to the application of load at single and multiple points. The results obtained with the proposed method suggest efficiency, convergence, accuracy and good agreement of the simulated results with the optimal topologies reported in the literature. (C) 2018 Elsevier B.Y. All rights reserved.
机译:本文集中在无网格无网格Galerkin(EFG)方法和水平集方法(LSM)相结合的二维线性弹性问题的形状和拓扑优化上。在此过程中,将水平集函数(LSF)用于结构几何的隐式表示,从而确保适当的必要拓扑变化以获得优化的结构。两种方法(EFG和LSM)都使用相同的笛卡尔网格点。通过EFG方法评估形状和拓扑敏感性,并通过LSM更新结构几何形状。该算法在五个不同的标准化结构拓扑优化问题上进行了测试,以使法规遵从性达到最小,这取决于单点和多点负载的施加。用所提出的方法获得的结果表明效率,收敛性,准确性以及模拟结果与文献中报道的最佳拓扑的良好一致性。 (C)2018年Elsevier B.Y.版权所有。

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