华南理工大学学报(自然科学版) ›› 2008, Vol. 36 ›› Issue (1): 152-156.

• 土木建筑工程 • 上一篇    

基于混合遗传算法的随机结构可靠性优化设计

姜封国 安伟光   

  1. 哈尔滨工程大学 建筑工程学院, 黑龙江 哈尔滨 150001
  • 收稿日期:2007-03-06 修回日期:2007-09-04 出版日期:2008-01-25 发布日期:2008-01-25
  • 通信作者: 姜封国(1977-),男,在职博士生,黑龙江科技学院讲师,主要从事结构可靠性与优化设计、遗传算法方面的研究、 E-mail:jiangfg123@yahoo.com.cn
  • 作者简介:姜封国(1977-),男,在职博士生,黑龙江科技学院讲师,主要从事结构可靠性与优化设计、遗传算法方面的研究、
  • 基金资助:

    国防科工委军工技术基础基金资助项目(Z1920068002);黑龙江省教育厅科学技术研究项目(11523048)

Optimized Design of Stochastic Structure Reliability Based on Hybrid Genetic Algorithm

Jiang Feng-guo  An Wei-guang   

  1. College of Civil Engineering, Harbin Engineering University, Harbin 150001 , Heilongjiang, China
  • Received:2007-03-06 Revised:2007-09-04 Online:2008-01-25 Published:2008-01-25
  • Contact: 姜封国(1977-),男,在职博士生,黑龙江科技学院讲师,主要从事结构可靠性与优化设计、遗传算法方面的研究、 E-mail:jiangfg123@yahoo.com.cn
  • About author:姜封国(1977-),男,在职博士生,黑龙江科技学院讲师,主要从事结构可靠性与优化设计、遗传算法方面的研究、
  • Supported by:

    国防科工委军工技术基础基金资助项目(Z1920068002);黑龙江省教育厅科学技术研究项目(11523048)

摘要: 针对结构系统刚度以及外荷载、强度等在应用中所表现出的随机性,提出了考虑随机因素的结构系统优化设计方法.该方法首先对系统的可靠性指标进行敏度分析,然后将可靠性指标作为约束函数建立优化模型,对结构的重量进行优化.文中提出了遗传算法和最佳矢量法相结合的混合遗传算法,并引入了小生境技术来进行结构的优化设计.分析表明:基于小生境的混合遗传算法既发挥了最佳矢量法局部搜索能力强的特点,又具有遗传算法全局搜索能力强的优点,使收敛性能大大改善;同时,小生境技术的使用,避免了优化过程中局部最优解的出现,提高了收敛速度.算例表明,基于小生境的混合遗传算法是一种高效的结构优化方法.

关键词: 随机结构, 可靠性, 优化设计, 遗传算法, 最佳矢量算法, 小生境技术, 混合遗传算法

Abstract:

Based on randomness appeared in stiffness, external load and strength of a structure system in applying, an optimized design method of a structure system is proposed by considering random factors. In the method, sensitivity analysis of the system reliability index is first carried out. Then, the reliability index is considered as a constraint function to establish an optimized model and structure weight is optimized. Here, hybrid genetic algorithm of the traditional genetic algorithm combined with the optimal vector method is presented, and the Niche technology is introduced to perform structural optimized design. Analytical results indicate that the hybrid genetic algorithm based on Niche technology not only has the strong local searching capacity of the optimal vector method but also has the strong general searching capacity of the genetic algorithm, so convergence performance is greatly improved. Calculated example indicates that hybrid genetic algorithm based on the Niche technology is a high-effective structural optimized method.

Key words: stochastic structure, reliability, optimization design, genetic algorithm, optimal vector algorithm, niche technology, hybrid genetic algorithm