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力学与实践 ›› 2015, Vol. 37 ›› Issue (4): 466-474.doi: 10.6052/1000-0879-14-228

• 专题综述 • 上一篇    下一篇

结构元件可靠性拓扑优化设计方法评述

李鹏1, 姚卫星2   

  1. 1. 南京航空航天大学, 飞行器先进设计技术国防重点学科实验室, 南京 210016;
    2. 南京航空航天大学, 机械结构力学及控制国家重点实验室, 南京 210016
  • 收稿日期:2014-07-30 修回日期:2014-11-03 出版日期:2015-08-15 发布日期:2015-08-25
  • 通讯作者: 姚卫星,E-mail:wxyao@nuaa.edu.cn E-mail:wxyao@nuaa.edu.cn
  • 基金资助:

    国家自然科学基金资助项目(51275241).

REVIEW OF RELIABILITY-BASED TOPOLOGY OPTIMIZATION METHODS FOR STRUCTURAL COMPONENT

LI Peng1, YAO Weixing2   

  1. 1. Key Laboratory of Fundamental Science for National Defense-Advanced Design Technology of Flight Vehicle, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China;
    2. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2014-07-30 Revised:2014-11-03 Online:2015-08-15 Published:2015-08-25

摘要:

结构元件可靠性拓扑优化考虑了工程实践中不确定因素的影响,对于结构可靠性设计具有重要意义. 本文将结构元件可靠性拓扑优化设计方法分为嵌套优化法、解耦法、单循环法、可靠性安全系数法. 本文首先介绍了各类可靠性拓扑优化模型;然后系统回顾了以上方法的理论基础以及研究现状与应用;最后对以上方法进行了总结,探讨了它们的优缺点和发展方向.

关键词:

可靠性分析|拓扑优化|嵌套优化法|解耦法|单循环法

Abstract:

In the reliability-based topology optimization, the uncertainty is considered during the engineering practice, which is important in a structural reliability design. At present, the most commonly used reliabilitybased topology optimization methods for a continuum structure are: the nested optimization method, the decoupling method, the single-loop method and the reliability safety coefficient method. Firstly, the mathematical models of the reliability-based topology optimization are introduced. Then, the theoretical basis of above methods are systematically discussed, and their current researches and applications are briefly reviewed. Finally, the advantages, disadvantages and development trends of above methods are discussed.

Key words:

reliability analysis|topology optimization|nested optimization method|decoupling method|singleloop method

中图分类号: 

  • V214.19