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Modelling topology optimization problems as linear mixed 0–1 programs
93
Citations
37
References
2003
Year
Mathematical ProgrammingOperations ResearchNumerical AnalysisTopology Optimization ProblemsEngineeringFracture OptimizationDiscretized Continuum StructuresMultidisciplinary Design OptimizationMechanical EngineeringStructural TopologyMixed Integer OptimizationSystems EngineeringModeling And SimulationStructural OptimizationLinear ProgrammingStructural MechanicsTopology OptimizationLinear Optimization
Abstract This paper deals with topology optimization of discretized continuum structures. It is shown that a large class of non‐linear 0–1 topology optimization problems, including stress‐ and displacement‐constrained minimum weight problems, can equivalently be modelled as linear mixed 0–1 programs. The modelling approach is applied to some test problems which are solved to global optimality. Copyright © 2003 John Wiley & Sons, Ltd.
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