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FENG Jian, JIANG You-bao, MENG Shao-ping, XU Wei. RESEARCH ON METHOD FOR STRUCTURAL SYSTEM RELIABILITY ANALYSIS WITH SMALL SAMPLES[J]. Engineering Mechanics, 2007, 24(9): 37-042.
Citation: FENG Jian, JIANG You-bao, MENG Shao-ping, XU Wei. RESEARCH ON METHOD FOR STRUCTURAL SYSTEM RELIABILITY ANALYSIS WITH SMALL SAMPLES[J]. Engineering Mechanics, 2007, 24(9): 37-042.
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RESEARCH ON METHOD FOR STRUCTURAL SYSTEM RELIABILITY ANALYSIS WITH SMALL SAMPLES

  • (1. Key Laboratory of RC/PC Structures of Ministry of Education, Southeast University, Nanjing, Jiangsu 210096, China; 2. College of Bridge and Structural Engineering, Changsha University of Science and Technology, Changsha, Hunan 410076, China)

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  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
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  • The whole structural space of random variables can be divided into reliable space and failure space. Based on the adaptive sampling skill in the Monte Carlo method, the sampling point in failure space can be selected efficiently. Therefore, the distributed parameters of reliable space and failure space can be determined. Then the performance function is restructured by means of Mahalanobis distance analysis method. Consequently, a new method is proposed to analyze structural reliability with small samples. It is of universality since it only uses the state of sampling point, the reliable or the failure. Numerical simulation experiments show that the new method is of higher precision with small samples.
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