Engineering Optimization · 1987 · 53 citations · 11 references
Natural SciencesMathematicsComputational Structural AnalysisDesign OptimizationOptimizationInteger ProgrammingNonlinear ProgrammingOptimization In MechanicsOptimization TheoryOptimization-based DesignStructural OptimizationComposite Structural OptimizationConstraintsFrequency OptimizationFrequency-constrained OptimizationLaminated Composite MaterialsLaminated Plate AnalysisLaminated Plate DesignLaminated Plate Theory
Abstract The problem considered in this paper concerns the maximization of frequencies of stiffened laminated composite plates subject to frequency separation constraints and an upper bound on weight. The number of plies of given fiber orientations and the stiffener areas form the two sets of design variables and the problem belongs to the class of nonlinear mixed integer programming ( NMIP) Several efficiency measures are adopted to reduce the computational cost of the optimization process. As a result of these efficiency measures, structural optimization of laminated composite plates using nonlinear mixed integer programming becomes a viable alternative to using the conventional practice of obtaining designs by an ad hoc rounding off of the continuous designs.
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An Automatic Method of Solving Discrete Programming Problems
A. H. Land, A. G. Doig · Econometrica · 1960 · 1.9K citations
A tree-search algorithm for mixed integer programming problems
R. J. Dakin · The Computer Journal · 1965 · 638 citations · Full text
Optimum Design of Laminated Plates under Axial Compression
Yoichi Hirano · AIAA Journal · 1979 · 111 citations