Periodica Polytechnica Civil Engineering · 2007 · 14 citations · 3 references
ArchitectureDesignMathematicsDesign OptimizationOptimizationStochastic ModelingOptimization Under UncertaintyOptimization-based DesignStochastic OptimizationStochastic ProgrammingStructural OptimizationTopology OptimizationComplianceMathematical Programming ModelsOptimality ConditionsOptimality CriteriaStructural Topology OptimizationTopological Design OptimizationTopology DesignTopology Optimization Under Uncertainty
The aim of this research is to introduce a new type of stochastic optimal topology design method with iterative solution technique. The paper presents stochastic topology design procedure and compares the achieved results with optimal obtained topologies on deterministic way. The standard mathematical programming problem is based on a minimum volume design procedure subjected to a bounded compliance constraint given in stochastic form. In the numerical method an optimality criteria procedure is used.
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Kiriakos Vlahos · Journal of the Operational Research Society · 1995 · 134 citations