doi: 10.3850/S201042862015001246

A Hybrid Reliability Approach for Uncertain Structures Based on Probability and Non-Probability Convex Model

Liu Xin^a and Zhang Zhiyong^b College of Automobile and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114 ^alxym810205@163.com ^bzzy04@163.com

ABSTRACT

A new hybrid reliability analysis method is developed based on probability and ellipsoidal convex models. Random distributions are used to deal with the uncertain parameters with sufficient information, while the ellipsoidal convex model is employed to deal with the uncertain-but-bounded variables which are correlated with each other. Apparently, a complex nesting optimization problem will be involved in this hybrid reliability analysis. To solve the reliability index, genetic algorithm (GA) is adopted to solve the outer-layer and inner-layer optimizations problem. The present method is applied to the cantilever beam numerical example and the results indicate that the present method could solve the hybrid reliability engineering problem if not many uncertain parameters are involved.

Keywords: Uncertainty, Probability model, Ellipsoidal convex model.

---

Back to TOC