Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
Bi-directional evolutionary topology optimization of continuum structures with one or multiple materials
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DOI：
10.1007/s00466-008-0312-0
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发表时间：
2009-02-01
影响因子：
4.1
通讯作者：
Xie, Y. M.
中科院分区：
文献类型：
--
作者：
Huang, X.;Xie, Y. M.
目前已有几种成熟的固-空优化拓扑生成技术，如带有惩罚的固体各向同性材料(SIMP)方法、渐进结构优化(ESO)方法及其较新版本的双向ESO(BESO)方法。本文利用材料插值法，提出了一种新的带惩罚参数的Beso方法。文中给出了若干算例，验证了该方法对一种或多种材料结构的收敛最优解的能力。结果表明，该方法得到的最优设计与惩罚程度无关。所得到的最优拓扑结构和目标函数的值与SIMP方法的结果相吻合。
There are several well-established techniques for the generation of solid-void optimal topologies such as solid isotropic material with penalization (SIMP) method and evolutionary structural optimization (ESO) and its later version bi-directional ESO (BESO) methods. Utilizing the material interpolation scheme, a new BESO method with a penalization parameter is developed in this paper. A number of examples are presented to demonstrate the capabilities of the proposed method for achieving convergent optimal solutions for structures with one or multiple materials. The results show that the optimal designs from the present BESO method are independent on the degree of penalization. The resulted optimal topologies and values of the objective function compare well with those of SIMP method.