期刊
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
卷 139, 期 -, 页码 -出版社
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2020.106621
关键词
First excursion probability; Directional sampling; Importance sampling; Stochastic Gaussian loading; Linear structure
资金
- CONICYT (National Commission for Scientific and Technological Research) under its program FONDECYT [1180271]
- Universidad Tecnica Federico Santa Maria - Direccion de Postgrado y Programas under its program PAC (Programa Asistente Cientifico 2017)
- Universidad Tecnica Federico Santa Maria - Direccion de Postgrado y Programas under its program PIIC (Programa de Incentivo a la Iniciacion Cientifica)
This contribution addresses the estimation of first excursion probabilities of linear structural systems subject to stochastic Gaussian loading by means of simulation. This probability is estimated by combining existing knowledge on the geometry of the associated failure domain with Directional Importance Sampling. In this way, the space associated with the stochastic loading is explored by generating some random directions according to a prescribed importance sampling distribution; then, each random direction is analyzed taking advantage of the linearity of the response with respect to the stochastic loading. Such an approach allows estimating small failure probabilities with high accuracy and precision while requiring a reduced number of samples. The application of Directional Importance Sampling is illustrated by means of a series of examples, indicating that failure probabilities in the order of 10(-3) or less can be estimated reliably with a reduced number of samples, even in problems comprising involved structural models. (C) 2020 Elsevier Ltd. All rights reserved.
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