Structural Optimization Under Conditions of Uncertainty, with Reference to Serviceability and Ultimate Limit States

by Dan M. Frangopol, Univ of Colorado, Boulder, CO, USA,

Document Type: Proceeding Paper

Part of: Recent Developments in Structural Optimization


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 | Limit states | Finite element method | Optimization models | Multiple purpose structures | Load and resistance factor design | Probability

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