finite dimensional Finite Element Reliability Analysis of Structures using the Dimensional Reduction Method.doc

finite dimensional Finite Element Reliability Analysis of Structures using the Dimensional Reduction Method 导读：就爱阅读网友为您分享以下“Finite Element Reliability Analysis of Structures using the Dimensional Reduction Method”的资讯，希望对您有所帮助，感谢您对92的支持! Vancouver, Canada, July 12-15, 2015 Finite Element Reliability Analysis of Structures using the Dimensional Reduction Method Georgios P. Balomenos Ph.D. Candidate, Dept. of Civil and Env. Engineering, University of Waterloo, Waterloo, ON, Canada Mahesh D. Pandey Professor, Dept. of Civil and Env. Engineering, University of Waterloo, Waterloo, ON, Canada ABSTRACT: Finite Element Reliability Analysis (FERA) has been used to evaluate the reliability of structures. Mean and variance of the structural response is often estimated with the use of approximate methods, while structural response distribution is approximated based on Monte Carlo simulation (MCS). In this paper, FERA is applied in an efficient manner with the use of a Multiplicative form of Dimensional Reduction Method (M-DRM), which can estimate accurately the statistical moments and the probability distribution of the structural response, e.g., drift of a structure. The proposed approach is combined with OpenSees FE software and illustrated through the nonlinear pushover and nonlinear dynamic analysis of a steel frame. MCS is also performed for comparison of the proposed method. 1. INTRODUCTION Finite element analysis (FEA) has become a widely used tool for the numerical analysis of the structural response. But, uncertainties associated with input parameters such as material properties, geome