Galerkin-Based Response Surface Approach for Reliability Analysis

by R. Ghanem, Rice Univ, United States,
P. D. Spanos, Rice Univ, United States,



Document Type: Proceeding Paper

Part of: Structural Safety and Reliability

Abstract:

A new method for structural reliability analysis is presented. The method relies on an efficient algorithm for approximating the response surface of engineering structures. Unlike methods based on the First Order Second Moment approach, the proposed method does not use Monte Carlo simulation techniques in a collocation-like scheme to interpolate for the response surface. Instead, the response is approximated by its projection onto a complete set of orthogonal polynomials. The coefficients in the expansion are obtained through a Galerkin scheme requiring the solution of a system of linear algebraic equations. The proposed method is exemplified by its applications to two problems featuring material properties that are modeled as stochastic processes. The corresponding results are found in good agreement with simulation data.

Subject Headings: Stochastic processes | Structural reliability | Structural analysis | Material properties | Finite element method | Materials processing | System reliability

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