Structural reliability assessment based on probability and convex set mixed model

Authors:
Yangjun Luo;Zhan Kang;Alex Li
Affiliations:
State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China and Laboratoire de Génie Civil, GRESPI, Université de Reims Ch ...;State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;Laboratoire de Génie Civil, GRESPI, Université de Reims Champagne-Ardenne, Rue des Crayères, BP1035, 51687 Reims Cedex, France
Venue:
Computers and Structures
Year:
2009

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Abstract

This paper investigates the reliability assessment of structures exhibiting both stochastic and bounded uncertainties by using a probability and convex set mixed model. The safety measure of a structure is quantified by a reliability index defined by a nested minimization problem. An iterative procedure is developed for seeking the worst-case point and the most probable failure point in the standard uncertainty space. Numerical examples are given to demonstrate the applicability of the probability and convex set mixed model representation in the structural reliability assessment, as well as to illustrate the validity and effectiveness of the proposed numerical method.