结构元件可靠性拓扑优化设计方法评述

李鹏, 姚卫星

李鹏, 姚卫星. 结构元件可靠性拓扑优化设计方法评述[J]. 力学与实践, 2015, 37(4): 466-474. DOI: 10.6052/1000-0879-14-228
引用本文: 李鹏, 姚卫星. 结构元件可靠性拓扑优化设计方法评述[J]. 力学与实践, 2015, 37(4): 466-474. DOI: 10.6052/1000-0879-14-228
LI Peng, YAO Weixing. REVIEW OF RELIABILITY-BASED TOPOLOGY OPTIMIZATION METHODS FOR STRUCTURAL COMPONENT[J]. MECHANICS IN ENGINEERING, 2015, 37(4): 466-474. DOI: 10.6052/1000-0879-14-228
Citation: LI Peng, YAO Weixing. REVIEW OF RELIABILITY-BASED TOPOLOGY OPTIMIZATION METHODS FOR STRUCTURAL COMPONENT[J]. MECHANICS IN ENGINEERING, 2015, 37(4): 466-474. DOI: 10.6052/1000-0879-14-228
李鹏, 姚卫星. 结构元件可靠性拓扑优化设计方法评述[J]. 力学与实践, 2015, 37(4): 466-474. CSTR: 32047.14.1000-0879-14-228
引用本文: 李鹏, 姚卫星. 结构元件可靠性拓扑优化设计方法评述[J]. 力学与实践, 2015, 37(4): 466-474. CSTR: 32047.14.1000-0879-14-228
LI Peng, YAO Weixing. REVIEW OF RELIABILITY-BASED TOPOLOGY OPTIMIZATION METHODS FOR STRUCTURAL COMPONENT[J]. MECHANICS IN ENGINEERING, 2015, 37(4): 466-474. CSTR: 32047.14.1000-0879-14-228
Citation: LI Peng, YAO Weixing. REVIEW OF RELIABILITY-BASED TOPOLOGY OPTIMIZATION METHODS FOR STRUCTURAL COMPONENT[J]. MECHANICS IN ENGINEERING, 2015, 37(4): 466-474. CSTR: 32047.14.1000-0879-14-228

结构元件可靠性拓扑优化设计方法评述

基金项目: 国家自然科学基金资助项目(51275241).
详细信息
    通讯作者:

    姚卫星,E-mail:wxyao@nuaa.edu.cn

  • 中图分类号: V214.19

REVIEW OF RELIABILITY-BASED TOPOLOGY OPTIMIZATION METHODS FOR STRUCTURAL COMPONENT

  • 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.
    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.
  • 1 Kharmanda G, Olhoff N, Mohamed A, et al. Reliabilitybased topology optimization. Structural and Multidisciplinary Optimization, 2004, 26(5): 295-307
    2 Zhang XM, Ouyang GF. A level set method for reliabilitybased topology optimization of compliant mechanisms. Science in China Series E: Technological Sciences, 2008,51(4): 443-455
    3 陈建军, 曹一波, 孙怀安. 多工况下具有体系可靠性约束的桁架 结构拓扑优化设计. 固体力学学报, 2000, 21(1): 11-18
    4 Jung HS, Cho S. Reliability-based topology optimization of geometrically nonlinear structures with loading and material uncertainties. Finite Elements in Analysis and Design,2004, 41(3): 311-331
    5 Maute K, Frangopol DM. Reliability-based design of MEMS mechanisms by topology optimization. Computers & Structures, 2003, 81(8): 813-824
    6 佘启志, 陈燕. 基于拓扑优化的车架结构可靠性设计. 汽车科技,2010, (5): 35-38
    7 黄文波, 蔡荫林. 工字型截面构件的船体板架结构可靠性优化. 上海交通大学学报, 2000, 34(1): 67-71
    8 刘家学, 郑昌义. 战术导弹结构可靠性优化问题研究. 系统工程 与电子技术, 2002, (5): 106-108
    9 刘钢, 王立凯, 段世慧等. 基于准则法的飞机薄壁结构可靠性优 化设计. 计算机辅助工程, 2013, 22(3): 29-33
    10 Yang RJ, Gu L. Experience with approximate reliabilitybased optimization methods. Structural and Multidisciplinary Optimization, 2004, 26(1-2): 152-159
    11 Mozumder CK, Patel NM, Tillotson D, et al. An investigation of reliability-based topology optimization. 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Virginia, America, 2006
    12 Chen X, Hasselman TK, Neill DJ. Reliability based structural design optimization for practical applications. 38th AIAA/ASME/ASCE/AHS/ASC structures, structural dynamics, and materials conference, Florida, America, 1997
    13 Liang J, Mourelatos ZP, Tu J. A single-loop method for reliability-based design optimization. ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Salt Lake City, America, 2004
    14 Liang J, Nikolaidis E, Mourelatos ZP. A single-loop approach for system reliability-based design optimization. Journal of Mechanical Design, 2007, 129(12): 1215-1224
    15 Tu J, Choi KK, Park YH. A new study on reliability-based design optimization. Journal of Mechanical Design, 1999,121(4): 557-564
    16 Youn BD, Choi KK, Park Y. Hybrid analysis method for reliability-based design optimization. Journal of Mechanical Design, 2003, 125(2): 221-232
    17 Luo X, Grandhi RV. Astros for reliability-based multidisciplinary structural analysis and optimization. Computers & Structures, 1997, 62(4): 737-745
    18 Kim C, Wang S, Rae K, et al. Reliability-based topology optimization with uncertainties. Journal of Mechanical Science and Technology, 2006, 20(4): 494-504
    19 Kim SR, Park JY, Lee WG, et al. Reliability-based topology optimization based on evolutionary structural optimization. International Journal of Mechanical Systems Science and Engineering, 2008, 1(3): 135-139
    20 Eom YS, Yoo KS, Park JY, et al. Reliability-based topology optimization using a standard response surface method for three-dimensional structures. Structural and Multidisciplinary Optimization, 2011, 43(2): 287-295
    21 Du X, Chen W. Sequential optimization and reliability assessment method for efficient probabilistic design. Journal of Mechanical Design, 2004, 126(2): 225-233
    22 Du X, Guo J, Beeram H. Sequential optimization and reliability assessment for multidisciplinary systems design. Structural and Multidisciplinary Optimization, 2008,35(2): 117-130
    23 Du X, Sudjianto A, Huang B. Reliability-based design with the mixture of random and interval variables. Journal of Mechanical Design, 2005, 127(6): 1068-1076
    24 Royset JO, Kiureghian AD, Polak E. Reliability-based optimal design of series structural systems. Journal of Engineering Mechanics, 2001, 127(6): 607-614
    25 Royset JO, Der Kiureghian A, Polak E. Reliability-based optimal structural design by the decoupling approach. Reliability Engineering & System Safety, 2001, 73(3): 213-221
    26 Patel NM, Agarwal H, Tovar A, et al. Reliability based topology optimization using the hybrid cellular automaton method. 1st AIAA Multidisciplinary Design Optimization Specialist Conference, Austin, Texas, 2005
    27 Patel NM, Renaud JE, Tovar A. Compliant mechanism design using the hybrid cellular automaton method. 1st AIAA multidisciplinary design optimization specialist conference, Austin, America, 2005
    28 Wang L, Kodiyalam S. An efficient method for probabilistic and robust design with non-normal distributions.43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Denver, America, 2002
    29 Min SJ, Bang SH. Structural topology design considering reliability. Key Engineering Materials, 2005, 297: 1901-1906
    30 Shan S, Wang GG. Reliable design space and complete single-loop reliability-based design optimization. Reliability Engineering & System Safety, 2008, 93(8): 1218-1230
    31 Nguyen TH, Song J, Paulino GH. Single-loop system reliability-based topology optimization considering statistical dependence between limit-states. Structural and Multidisciplinary Optimization, 2011, 44(5): 593-611
    32 Nguyen TH, Song J, Paulino GH. Single-loop system reliability-based design optimization using matrix-based system reliability method: theory and applications. Journal of Mechanical Design, 2010, 132(1): 011005
    33 Silva M, Tortorelli DA, Norato JA, et al. Component and system reliability-based topology optimization using a single-loop method. Structural and Multidisciplinary Optimization, 2010, 41(1): 87-106
    34 Silva M, Tortorelli D, Norato J, et al. Topology optimization under stochastic loads via the single loop method.49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Schaumburg, America, 2008
    35 陈建军, 段宝岩, 张驰江. 结构可靠性优化中概率约束的等价显 式处理. 西安电子科技大学学报, 1999, (5): 564-569
    36 崔明涛. 不确定性连续体结构拓扑优化和柔性机构设计研究. [博士论文]. 西安: 西安电子科技大学, 2006
    37 宋宗凤. 不确定性连续体结构的拓扑优化设计研究. [博士论文]. 西安: 西安电子科技大学, 2009
    38 刘国梁, 陈建军, 马洪波. 结构抗疲劳可靠性的水平集拓扑优化. 西安电子科技大学学报, 2012, (4): 149-154
计量
  • 文章访问数:  968
  • HTML全文浏览量:  6
  • PDF下载量:  764
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-07-29
  • 修回日期:  2014-11-02
  • 发布日期:  2015-08-14

目录

    /

    返回文章
    返回