On multinormal integrals by Importance Sampling for parallel system reliability

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• 作者：Edoardo Patelli ; Helmut J. Pradlwarter ; Gerhart I. Schuë ; ller
• 关键词：Simulation procedures ; Importance Sampling ; Reliability analysis ; Parallel system ; Multinormal integration ; Monte Carlo simulation
• 刊名：Structural Safety
• 出版年：2011
• 出版时间：January 2011
• 年：2011
• 卷：33
• 期：1
• 页码：1-7
• 全文大小：539 K

文摘

The ability to compute multinormal integrals to any required accuracy is a key issue for an efficient computation of failure probabilities, particular important in context with system reliability analysis. Hence in this paper, an accurate Importance Sampling procedure to compute multinormal integrals in high dimensions is presented. The novel method allows to sample exclusively in the failure domain which substantially increases the efficiency of the Importance Sampling procedure. The proposed approach is extended for slightly non-linear limit state functions which typically result from non-Gaussian distributed input variables and linear limit state functions of the response in linear structural analysis.

The suggested procedure is easy to implement, accurate and convenient for practical applications.