Structural Optimization Under Conditions of Uncertainty, with Reference to Serviceability and Ultimate Limit Statesby Dan M. Frangopol, Univ of Colorado, Boulder, CO, USA,
Abstract: Probability concepts and methods are rapidly gaining ground in the search for more rational approaches to structural optimization. Under conditions of uncertainty, the risk of unfavorable structural performance provides a consistent measure of design reliability, and thus furnishes a systematic means for comparing design alternatives. This paper presents probabilistic formulations for incorporating risk analysis into structural optimization procedures. Structural resistances and applied loads are considered to be random variables. Specific proposals for formulating the optimization of both single purpose and multipurpose structures under conditions of uncertainty are developed.
Subject Headings: Structural reliability | Structural analysis | Probability | Uncertainty principles | Risk management | Load and resistance factor design | Finite element method | Optimization models
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