Perimeter control in the bidirectional evolutionary optimization method
Perimeter control in the bidirectional evolutionary optimization method
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DOI：
10.1007/s00158-002-0256-5
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发表时间：
2002-09
影响因子：
3.9
通讯作者：
X. Y. Yang;Y. Xie;J. Liu;G. Parks;P. Clarkson
中科院分区：
文献类型：
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作者：
X. Y. Yang;Y. Xie;J. Liu;G. Parks;P. Clarkson
作为进化结构优化[ESO]方法的扩展，双向ESO[BESO]方法有效地解决了各种拓扑优化问题。在 ESO/BESO 应用中观察到，获得的最优解强烈依赖于有限元网格。本文提出了一种改进的 BESO 方法，结合了控制优化过程的方法，以满足结构周长的约束，从而解决尺寸效应问题。对不同有限元离散化水平的三个算例进行了数值试验。获得关于网格细化收敛的解，特别是当周长界限足够低时。当施加更严格的约束时，会生成由更少和更大的结构构件和孔组成的更简单的拓扑。因此，得出结论：BESO结合周长控制能够抑制拓扑优化问题的网格依赖性并控制结构复杂性。
As an extension of the Evolutionary Structural Optimization [ESO] method, the bidirectional ESO [BESO] method has effectively addressed various topology optimization problems. It is observed in ESO/BESO applications that the optimal solution obtained strongly depends on the finite element mesh. This paper presents an improved BESO methodology incorporating a means of controlling the optimization process in order to satisfy a constraint on structural perimeter and thus to solve this size effect problem. Numerical tests are conducted on three examples at different levels of finite element discretization. Solutions convergent with respect to the grid refinement are obtained, especially when the perimeter bound is sufficiently low. Simpler topologies consisting of fewer and larger structural members and holes are generated when a more restricting constraint is imposed. Therefore, it is concluded that BESO combined with perimeter control is capable of suppressing mesh dependency and controlling the structural complexity for topology optimization problems.