Stochastic Optimization for mechanical structures

Thomas Vietor ()

Mathematical Methods of Operations Research, 1997, vol. 46, issue 3, 377-408

Abstract: The Stochastic Optimization Problem is well known in mathematics and operations research. Due to increasing demands for performance improvement together with reduced weight and costs the introduction of uncertainties into optimization problems in mechanical engineering is also necessary. In a number of papers this Stochastic Structural Optimization Problem is formulated and solved only within certain limiting assumptions. This paper presents a general definition of the Stochastic Structural Optimization Problem. Furthermore one solution technique based on reliability calculation is presented. With this technique the use of an augmented optimization loop based on Mathematical Programming is possible. The use of the developed tool for reliability calculations and optimization is demonstrated for complex mechanical structures. Copyright Physica-Verlag 1997

Keywords: Failure probability of mechanical structures; optimization procedure; stochastic structural optimization; structural mechanical application examples (search for similar items in EconPapers)
Date: 1997
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DOI: 10.1007/BF01194862

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