Two Applications of Asymptotic Laplace Integrals in Structural Reliability

by Michael H. Faber, Technical Univ Munich, Germany,
Jean-Yves Plantec, Technical Univ Munich, Germany,
R?diger Rackwitz, Technical Univ Munich, Germany,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

Abstract:

The concepts for asymptotic analytical solutions to so-called Laplace integrals are briefly reviewed. It is shown how integrals occurring in structural reliability can be transformed so that those results are applicable. The available theory is extended to cover also the integrals to be solved for the mean values of crossing characteristics of non-homogeneous Gaussian vector processes and non-homogeneous Gaussian scalar fields through non-homogeneous threshold functions.

Subject Headings: Structural reliability | Integrals | Structural analysis | Gaussian process | Laplace transform | Homogeneity | Vector analysis

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