Structural reliability assessment based on probability and convex set mixed model

• Published in: Computers & structures Vol. 87; no. 21; pp. 1408 - 1415
• Main Authors: Luo, Yangjun, Kang, Zhan, Li, Alex
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.11.2009; Elsevier
• Subjects: Computational techniques; Convex model; Exact sciences and technology; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Mathematical methods in physics; Mixed model; Physics; Probability; Reliability; Solid mechanics; Structural and continuum mechanics; Uncertainty; Probability; Uncertainty; Convex model; Reliability; Mixed model; Convex set; Probabilistic approach; Worst case method; Rupture; Structural reliability; Minimization; Iterative method; Modeling; Uncertain system; Safety; Convex analysis
• ISSN: 0045-7949; 1879-2243
• DOI: 10.1016/j.compstruc.2009.06.001

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.