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非平稳激励下结构动力可靠度计算 被引量:2

THE COMPUTATION OF STRUCTURE DYNAMIC RELIABILITY UNDER UNSTEADY EXCITATION
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摘要 在非平稳激励下,讨论了结构的动力可靠性:对响应为高斯分布时,给出了以概率乘积形式表示的可靠度表达式;对更广泛的分布形式,文中利用有序统计和极值理论,给出结构响应的可靠度简化计算方法.并以某类继电器为例,计算了继电器接触系统的动力可靠性. This paper discusses a computation method of structure dynamic reliability under unsteady excitation. It gives the reliability expression in the form of probability multiplication when the response follows Gauss distribution. To the more extensive distribution condition, the paper adopts the theory of ordered statistics and the extreme value theory, and gives a simplified computing method of structure response reliability. Finally, it computes the dynamic reliability of a relay contact system as an example.
出处 《西安交通大学学报》 EI CAS CSCD 北大核心 1993年第4期47-52,20,共7页 Journal of Xi'an Jiaotong University
基金 国家自然科学基金
关键词 随机振动 可靠性估计 结构 random vibration vibration analysis method reliability estimation probability forecast
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参考文献3

  • 1张景绘,工程随机振动理论,1989年
  • 2张希农,1988年
  • 3张希农,机械强度,1988年

同被引文献20

  • 1钟万勰.结构动力方程的精细时程积分法[J].大连理工大学学报,1994,34(2):131-136. 被引量:514
  • 2[2]Soong T T. Random Differential Equations in Science and Engineering [M] . New York: Academic Press,1973.
  • 3李桂清,李秋胜.工程结构时变可靠度理论及其应用.北京:科学出版社,2001.
  • 4Gasparini DA . Response of MDOF systems to non- stationary random excitation . Journal of Engineering Mechanics Division, 1979, 105(1): 13-27.
  • 5Chaudhuri A, Chakraborty S. Reliability evaluations of 3- D frame subjected to non-stationary earthquake. Journal of Sound and Vibration, 2003, 259(4): 797-808.
  • 6Au SK, Beck JL. First excursion probabilities for linear systems by very efficient importance sampling. Probabilistic Engineering Mechanics, 2001, 16(3): 193-207.
  • 7Pradlwarter H J, Schiieller GI. Excursion probabilities of non-linear systems. International Journal of Non-linear Mechanics, 2004, 39(9): 1447-1452.
  • 8Pradlwarter H J, Schiieller GI, Koutsourelakis PS, et al. Application of line sampling simulation method to reliability benchmark problems. Structural Safety, 2007, 29(3): 208-221.
  • 9Au SK, Beck JL. Estimation of small failure probabilities in high dimensions by subset simulation. Probabilistic Engineering Mechanics, 2001, 16(4): 263-277.
  • 10Ching J, Beck JL, Au SK. Hybrid subset simulation method for reliability estimation of dynamical systems subject to stochastic excitation. Probabilistic Engineering Mechanics, 2005, 20(3): 199-214.

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