• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
  • Scopus
  • Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
  • Chinese S&T Journal Citation Reports
  • Chinese Science Citation Database
Volume 27 Issue 1
Jan.  2014
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Article Contents
LI Jinping, JIAO Shengjie, CHEN Jianjun, LIU Guoliang, XU Xinxin. Dimension-Reduction Method for Structural Reliability Analysis[J]. Journal of Southwest Jiaotong University, 2014, 27(1): 79-85. doi: 10.3969/j.issn.0258-2724.2014.01.013
Citation: LI Jinping, JIAO Shengjie, CHEN Jianjun, LIU Guoliang, XU Xinxin. Dimension-Reduction Method for Structural Reliability Analysis[J]. Journal of Southwest Jiaotong University, 2014, 27(1): 79-85. doi: 10.3969/j.issn.0258-2724.2014.01.013

Dimension-Reduction Method for Structural Reliability Analysis

doi: 10.3969/j.issn.0258-2724.2014.01.013
  • Received Date: 10 Dec 2012
  • Publish Date: 25 Jan 2014
  • To predict the reliability of implicit and nonliear performance function for complex structures, a dimension-reduction method was presented. The multi-dimensional integration applied to calculate statistical moments of performance function is transformed into multiple low dimensional integrations using the bivariate dimension-reduction method, and the low dimensional integrations are then numerically calculated by the Gauss-Hermite integration. After obtaining the statistical moments, the maximum entropy principle (MEP) is used to determine the best probability density function of performance function for reliability analysis. The proposed method has the merit that the reliabilities at different limit-state values can be obtained readily by determining the probability density function of performance function simultaneously. The results of two examples show that the relative error of failure probability obtained by the proposed method is less than 0.5% compared with that derived by one million times simulations of the Monte Carlo method.

     

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  • 李伦贵, 高波. 翼墙式隧道洞门可靠性分析[J]. 西南交通大学学报, 2002, 37(5): 496-499. LI Lungui, GAO Bo. Reliability analysis of wing wall tunnel portal[J]. Journal of Southwest Jiaotong University, 2002, 37(5): 496-499.
    戴鸿哲, 王伟. 结构可靠性分析的拟蒙特卡罗方法[J]. 航空学报, 2009, 30(4): 666-671. DAI Hongzhe, WANG Wei. Quasi-Monte Carlo method for structural reliability analysis[J]. Acta Aeronautica Et Astronautica Sinica, 2009, 30(4): 666-671.
    ENGELUND S, RACKWITZ R. A benchmark study on importance sampling techniques in structural reliability[J]. Structural Safety, 1993, 12(4): 255-276.
    NIE J, ELLINGWOOD B R. Directional methods for structural reliability analysis[J]. Structure Safety, 2000, 22(3): 233-249.
    NIE J, ELLINGWOOD B R. A new directional simulation method for system reliability. Part Ⅰ: application of deterministic point sets[J]. Probabilistic Engineering Mechanics, 2004, 19(4): 425-436.
    NIEDERREITER H, SPANIER J. Monte Carlo and quasi-Monte Carlo methods[M]. Berlin: Springer, 2000: 44-45.
    KIM S H, NA S W. Response surface method using vector projected sampling points[J]. Structural Safety, 1997, 19(1): 3-19.
    GUAN X L, MELCHERS R E. Effect of response surface parameter variation on structural reliability estimates[J]. Structural Safety, 2001, 23(4): 429-444.
    NAM M D, THANH T C. Approximation of function and its derivatives using radial basis function networks[J]. Applied Mathematical Modelling, 2003, 27(3): 197-220.
    GOMES H M, AWRUCH A M. Comparison of response surface and neural network with other methods for structural reliability analysis[J]. Structural Safety, 2004, 26(1): 49-67.
    李洪双, 吕震宙. 结构可靠性分析的支持向量机响应面法[J]. 计算力学学报, 2009, 26(2): 199-203. LI Hongshuang, LV Zhenzhou. A support vector machine response surface method for structural reliability analysis[J]. Chinese Journal of Computational Mechanics, 2009, 26(2): 199-203.
    PENMETSA R C, GRANDHI R V. Adaptation of fast Fourier transformations to estimate structural failure probability[J]. Finite Elements in Analysis and Design, 2003, 39(5/6): 473-485.
    陈建兵, 李杰. 基于概率密度演化方法的随机结构可靠度分析[J]. 计算力学学报, 2004, 21(3): 285-290. CHEN Jianbing, LI Jie. Reliability analysis of stochastic structures based on probability density evolution method[J]. Chinese Journal of Computational Mechanics, 2004, 21(3): 285-290.
    雒卫廷, 陈建军, 张驰江, 等. 随机桁架结构可靠性分析的完全概率方法[J]. 安全与环境学报, 2005, 5(5): 35-38. LUO Weiting, CHEN Jianjun, ZHANG Chijiang, et al. Analysis of reliability of stochastic truss structure based on full-probability[J]. Journal of Safety and Environment, 2005, 5(5): 35-38.
    王新刚, 张义民, 王宝艳. 涡轮转子随机结构的可靠性研究[J]. 航空动力学报, 2009, 24(6): 1316-1320. WANG Xingang, ZHANG Yimin, WANG Baoyan. Research on reliability of turbo-rotor with random structure[J]. Journal of Aerospace Power, 2009, 24(6): 1316-1320.
    XU H, RAHMAN S. Decomposition methods for structural reliability analysis[J]. Probabilistic Engineering Mechanics, 2005, 20(3): 239-250.
    XU H, RAHMAN S. A generalized dimension-reduction method for multi-dimensional integration in stochastic mechanics[J]. International Journal for Numerical Methods in Engineering, 2004, 61(12): 1992-2019.
    李金平, 陈建军, 黄白, 等. 基于分解法的最大熵随机有限元法[J]. 振动与冲击, 2009, 28(7): 99-104. LI Jinping, CHEN Jianjun, HUANG Bai, et al. Maximum entropy stochastic finite element method based on dimension-reduction method[J]. Journal of Vibration and Shock, 2009, 28(7): 99-104.
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