留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

一种考虑失效准则模糊性的时变可靠度分析方法

姜潮 刘敏 韩旭 黄新萍

姜潮, 刘敏, 韩旭, 黄新萍. 一种考虑失效准则模糊性的时变可靠度分析方法[J]. 机械科学与技术, 2015, 34(11): 1699-1704. doi: 10.13433/j.cnki.1003-8728.2015.1111
引用本文: 姜潮, 刘敏, 韩旭, 黄新萍. 一种考虑失效准则模糊性的时变可靠度分析方法[J]. 机械科学与技术, 2015, 34(11): 1699-1704. doi: 10.13433/j.cnki.1003-8728.2015.1111
Jiang Chao, Liu Min, Han Xu, Huang Xinping. A Time Varying Reliability Analysis Method Considering Fuzzy Failure Criterion[J]. Mechanical Science and Technology for Aerospace Engineering, 2015, 34(11): 1699-1704. doi: 10.13433/j.cnki.1003-8728.2015.1111
Citation: Jiang Chao, Liu Min, Han Xu, Huang Xinping. A Time Varying Reliability Analysis Method Considering Fuzzy Failure Criterion[J]. Mechanical Science and Technology for Aerospace Engineering, 2015, 34(11): 1699-1704. doi: 10.13433/j.cnki.1003-8728.2015.1111

一种考虑失效准则模糊性的时变可靠度分析方法

doi: 10.13433/j.cnki.1003-8728.2015.1111
基金项目: 

国家自然科学基金项目(11172096)、国家优秀青年科学基金项目(51222502)、教育部新世纪优秀人才支持计划(NCET-11-0124)及全国优秀博士论文专项基金项目(201235)资助

详细信息
    作者简介:

    姜潮(1978-),教授,博士生导师,研究方向为机械设计理论及技术、汽车CAE技术,jiangc@hnu.edu.cn

A Time Varying Reliability Analysis Method Considering Fuzzy Failure Criterion

  • 摘要: 针对工程结构失效准则不确定性的时变可靠度问题,构造了一种考虑失效准则模糊性的时变可靠度分析方法,可处理模糊失效准则下抗力和荷载随时间变化的可靠性计算问题。该方法首先将模糊失效准则下的时变功能函数随机过程进行离散,然后应用模糊集基本理论,引入新的随机变量,得到不同时间段的等效功能函数,最终将模糊失效准则下的时变可靠性问题转化为常规的可靠性问题,通过一次二阶矩方法求解获得时变可靠度和失效概率。最后以某机械零件和齿轮传动为例,分别得出模糊失效准则下的时变可靠度曲线和失效概率曲线,验证了该方法的有效性。
  • [1] Rice S O. Mathematical analysis of random noise[J]. The Bell System Technical Journal,1944,23(3):282-332
    [2] Crandall S H, Chandiramani K L, Cook R G. Some first-passage problems in random vibration[J]. Journal of Applied Mechanics,1966,33(3):532-538
    [3] Heltrom C W. Two notes on a markov envelop process[J]. Institute of Radio Engineers, Transaction on Information Theory,1959,(5):139-140
    [4] Breitung K. Asymptotic crossing rates for stationary gaussian vector processes[J]. Stochastic Process and their Applications,1988,29(2):195-207
    [5] Schall G, Faber M H, Rackwitz R. The ergodicity assumption for sea states in the reliability estimation of offshore structures[J]. Journal of Offshore Mechanics and Arctic Engineering,1991,113(3):241-246
    [6] Engelung S, Rackwitz R, Lange C. Approximations of first-passage times for differentiable processes based on higher-order threshold crossings[J]. Probabilistic Engineering Mechanics,1995,10(1):53-60
    [7] Rackwitz R. Computational techniques in stationary and non-stationary load combination-a review and some extensions[J]. Journal of Structural Engineering,1998,25(1):1-20
    [8] Melchers R E. Structural reliability analysis and prediction[M]. Chichester: John Wiley & Sons,1999
    [9] Zhang Y M, Wen B C, Liu Q L. First passage of uncertain single degree-of-freedom nonlinear oscillators[J]. Computer Methods in Applied Mechanics and Engineering,1998,165(1-4):223-231
    [10] 贡金鑫,赵国藩.考虑抗力随时间变化的结构动可靠度分析[J].建筑结构学报,1998,19(5):43-51 Gong J X, Zhao G F. Reliability analysis for deteriorating structures[J]. Journal of Building Structures,1998,19(5):43-51 (in Chinese)
    [11] Li C C, Der Kiureghian A. Mean out-crossing rate of nonlinear response to stochastic input[C]//Proceedings of the Seventh International Conference on Applications of Statistics and Probability in Civil Engineering and Risk Analysis, Paris, France,1995:295-302
    [12] Der Kiureghian A. The geometry of random vibrations and solutions by FORM and SORM[J]. Probabilistic Engineering Mechanics,2000,15(1):81-90
    [13] Der Kiureghian A, Li C C. Nonlinear random vibration analysis through optimization[C]//Reliability and Optimization of Structural Systems. Proceedings of the Seventh IFIP WG 7.5 Working Conference on Reliability and Optimization of Structural Systems, UK: Pergamon Press,1996:197-206
    [14] Andrieu-Renaud C, Sudret B, Lemaire M. The PHI2 method: a way to compute time-variant reliability[J]. Reliability Engineering & System Safety,2004,84(1):75-86
    [15] 秦权,杨小刚.退化结构时变可靠度分析[J].清华大学学报,2005,45(6):733-736 Qin Q, Yang X G. Time-dependent reliability analysis of deteriorating structures[J]. Journal of Tsinghua University,2005,45(6):733-736 (in Chinese)
    [16] 张建仁,秦权.现有混凝土桥梁的时变可靠度分析[J].工程力学,2005,22(4):90-95 Zhang J R, Qin Q. Time-dependent reliability analysis of existing concrete bridges[J]. Engineer Mechanical,2005,22(4):90-95 (in Chinese)
    [17] 王正,谢里阳,李兵.随机载荷作用下的零件动态可靠性模型[J].机械工程学报,2007,43(12):20-25 Wang Z, Xie L Y, Li B. Time-dependent reliability model of component under random load[J]. Chinese Journal of Mechanical Engineering,2007,43(12):20-25 (in Chinese)
    [18] 王新刚,张义民,王宝艳.机械零部件的动态可靠性分析[J].兵工学报,2009,30(11):1510-1514 Wang X G, Zhang Y M, Wang B Y. Dynamic reliability analysis of mechanical components[J]. Acta Armamentarii,2009,30(11):1510-1514 (in Chinese)
    [19] 姜潮,黄新萍,韩旭,等.一含区间不确定性的结构时变可靠度分析方法[J].机械工程学报,2013,49(10):186-193 Jiang C, Huang X P, Han X, et al. A time-dependent structural reliability analysis method with interval uncertainty[J]. Chinese Journal of Mechanical Engineering,2013,49(10):186-193 (in Chinese)
    [20] 董玉革.机械模糊可靠性设计[M].北京:机械工业出版社,2000 Dong Y G. Mechanical fuzzy reliability design[M]. Beijing: China Machine Press,2000 (in Chinese)
    [21] 张明.结构可靠度分析-方法与程序[M].北京:科学出版社,2009 Zhang M. Structural reliability analysis-methods and procedures[M]. Beijing: Science Press,2009 (in Chinese)
  • 加载中
计量
  • 文章访问数:  108
  • HTML全文浏览量:  22
  • PDF下载量:  3
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-01-20
  • 刊出日期:  2015-11-05

目录

    /

    返回文章
    返回