Solving topology optimization problems by the Guide-Weight method
Solving topology optimization problems by the Guide-Weight method
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DOI：
10.1007/s11465-010-0126-6
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发表时间：
2010-12
影响因子：
4.5
通讯作者：
Xinjun Liu;Zhidong Li;Liping Wang;Jinsong Wang
中科院分区：
文献类型：
--
作者：
Xinjun Liu;Zhidong Li;Liping Wang;Jinsong Wang
由于拓扑优化问题的设计变量众多，且目标函数和约束函数对于设计变量是隐式的，因此拓扑优化问题的求解一直是研究领域所关注的问题。由Chen于20世纪80年代首次提出的导权法在天线结构优化设计中得到了有效的应用。本文对它作了一些改进，使它同时具有最优性准则法和数学规划法的特点。将导权法应用于拓扑优化中，形式统一、简单、适用范围广、收敛速度快。介绍了引导权法的算法及其改进，给出了引导权法与SIMP法结合求解拓扑优化问题的两种公式，给出了三个算例，并将引导权法与其他方法进行了比较。
Finding a good solution method for topology optimization problems is always paid attention to by the research field because they are subject to the large number of the design variables and to the complexity that occurs because the objective and constraint functions are usually implicit with respect to design variables. Guide-Weight method, proposed first by Chen in 1980s, was effectively and successfully used in antenna structures’ optimization. This paper makes some improvement to it so that it possesses the characteristics of both the optimality criteria methods and the mathematical programming methods. When the Guide-Weight method is applied into topology optimization, it works very well with unified and simple form, wide availability and fast convergence. The algorithm of the Guide-Weight method and the improvement on it are described; two formulations of topology optimization solved by the Guide-Weight method combining with SIMP method are presented; subsequently, three numerical examples are provided, and comparison of the Guide-Weight method with other methods is made.