International Journal for Numerical Methods in Engineering · 2016 · 57 citations · 33 references
EngineeringComposite StructuresMultidisciplinary Design OptimizationKoiter FactorsMechanical EngineeringDesignPost‐buckling AnalysisPost‐buckling StabilityStructural DesignStructural OptimizationStructural MechanicsThin-walled StructureStructural Engineering
Summary Thin‐walled structures, when compressed, are prone to buckling. To fully utilize the capabilities of such structures, the post‐buckling response should be considered and optimized in the design process. This work presents a novel method for gradient‐based design optimization of the post‐buckling performance of structures. The post‐buckling analysis is based on Koiter's asymptotic method. To perform gradient‐based optimization, the design sensitivities of the Koiter factors are derived, and new design optimization formulations based on the Koiter factors are presented. The proposed optimization formulations are demonstrated on a composite square plate and a curved panel where the post‐buckling stability is optimized. Copyright © 2016 John Wiley & Sons, Ltd.
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Simplified calculation of eigenvector derivatives
Richard B. Nelson · AIAA Journal · 1976 · 898 citations