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Multicriterion reliability-oriented optimization of structural systems by stochastic programming. (English) Zbl 0896.90105
Summary: The paper deals with multicriterion reliability-oriented optimization of truss structures by stochastic programming. Deterministic approach to structural optimization appears to be insufficient when loads acting upon a structure and material properties of the structure elements have a random nature. The aim of this paper is to show importance of random modelling of the structure and influence of random parameters on an optimal solution. Usually, quality of engineering structure design is considered in terms of displacements, total cost and reliability. Therefore, optimization problem has been formulated and then solved in order to show interaction between displacement and a total cost objective function. The examples of 4-bar and 25-bar truss structures illustrate our considerations. The results of optimization are presented in the form of diagrams.
90B25 Reliability, availability, maintenance, inspection in operations research
74P99 Optimization problems in solid mechanics
90C90 Applications of mathematical programming
90C15 Stochastic programming
90C29 Multi-objective and goal programming
Full Text: DOI
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