System Reliability Using Higher-Order Moments

by Tetsuro Ono, Nagoya Inst of Technology, Japan,
Hideki Idota, Nagoya Inst of Technology, Japan,
Akihiro Totsuka, Nagoya Inst of Technology, Japan,

Abstract: A method is proposed for evaluating the reliability of structural systems using higher-order moments. The higher-order moment standardization technique (HOMST) is advanced for transforming a non-Gaussian probability distribution into a normal distribution, using higher-order moments. A reliability index that can accommodate the difference in the shape of probability distribution is defined, using the HOMST. The method is applied to estimate the moments of maximum of random variables, and the failure probability of structural system is formulated by using the moments alone. The failure probability of a truss and a frame is determined by numerical calculation, and the validity of the proposed method is verified.

Subject Headings: System reliability | Structural systems | Structural reliability | Probability | Failure analysis | Structural analysis | Probability distribution | Moment (mechanics)

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