中国机械工程 ›› 2010, Vol. 21 ›› Issue (24): 2983-2988.

• 机械基础工程 • 上一篇    下一篇

基于Memetic算法的拓扑优化方法

陈志敏1,2;赵龙彪1;邱浩波1;高亮1
  

  1. 1.华中科技大学数字制造装备与技术国家重点实验室,武汉,430074
    2.中国舰船研究设计中心,武汉,430064
  • 出版日期:2010-12-25 发布日期:2010-12-30
  • 基金资助:
    国家重点基础研究发展计划(973计划)资助项目(2004CB719405);国家自然科学基金资助项目(50825503) 
    National Program on Key Basic Research Project (973 Program)(No. 2004CB719405);
    National Natural Science Foundation of China(No. 50825503)

A Topology Optimization Method Based on Memetic Algorithm

Chen Zhimin1,2;Zhao Longbiao1;Qiu Haobo1;Gao Liang1
  

  1. 1.The State Key Laboratory of Digital Manufacturing Equipment and Technology Huazhong University of Science and Technology,Wuhan,430074
    2.China Ship Development and Design Center,Wuhan,430064
  • Online:2010-12-25 Published:2010-12-30
  • Supported by:
     
    National Program on Key Basic Research Project (973 Program)(No. 2004CB719405);
    National Natural Science Foundation of China(No. 50825503)

摘要:

将Memetic算法用于拓扑优化,通过采用进化搜索和局部搜索结合的混合搜索策略,有效加快了收敛速度。Memetic算法的进化搜索策略与遗传算法相同,但将邻接熵过滤方法作为其局部搜索策略。邻接熵过滤方法在进化搜索产生的新个体周围进行局部搜索,通过删除优化结构中的一些孤立单元和棋盘格现象,能在新个体的附近搜索到一个更好的个体。Memetic算法的混合搜索策略不仅继承了遗传算法能发现全局最优解的优点,而且能大幅度提高搜索效率。采用Memetic算法求解经典算例,与采用遗传算法的求解结果进行比较,证明了该方法的有效性和优越性。

关键词:

Abstract:

Topology optimization method was presented based on Genetic algorithms using evolutionary global search strategy can find better solutions, but it search slowly, and need a large number of iterations. Topology optimization method based on Memetic algorithm using evolutionary global search strategy and local search strategy. The local search strategy is abuttal entropy filter method, it searches near the individuals which are generated by evolutionary method.The abuttal entropy filter method
delets some invalid elements in individuals and checkerboard,then it can find a better
individual near the old one.Memetic algorithm inherites advantages of the genetic algorithm to discover the global optimal solution, and overcomes the deficiencies of the genetic algorithm. Using Memetic algorithm to solve some classic examples, compared the results with the solution of using genetic algorithms,the nature and effectiveness of topology optimization method based on Memetic algorithm were described.

Key words: topology optimization, Memetic algorithm, abuttal entropy, local searching

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