Reliability-Based Optimization Using Sequential Quadratic Programming

by Sankaran Mahadevan, Vanderbilt Univ, Nashville, United States,



Document Type: Proceeding Paper

Part of: Probabilistic Mechanics and Structural and Geotechnical Reliability

Abstract: This paper proposes a method for reliability-based optimization of large structures using the Stochastic Finite Element Method, including both component and system reliabilities. In SFEM, reliability estimation is done through the computation of the sensitivity of structural response to the basic random variables by applying the chain rule of differentiation to the deterministic analysis. The sensitivity measures thus obtained also make it easy to develop a reliability-based design formula. Sequential quadratic programming is used to efficiently include the various types of reliability measures in an optimum design format. A numerical example is presented to illustrate the proposed method.

Subject Headings: Finite element method | Structural reliability | Structural analysis | Computer programming | System reliability | Optimization models | Stochastic processes | Sensitivity analysis

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