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A Constrained Global Optimization Technique Design of Laminated Composite Plates for Optimal Dynamic Characteristics

動態複合材料層板受束制條件下的最佳化設計

摘要


本文研究受拘束條件下全域最佳化設計方法應用於複合材料厚板的動態設計上。在最佳設計過程中,利用一階剪變形層板理論來分析複合材料厚板的自然頻率及容積阻尼,而以各層組之纖維角度及厚度設定為設計變數,藉由最佳設計方法來求取以使複材層板的容積阻尼達到最大值為目標。本文以不同長寬比及長厚比的例子,說明複材層板容積阻尼的分析及設計方法。

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並列摘要


The lamination arrangements of moderately thick laminated composite plates for optimal dynamic characteristics are studied using a constrained multi-start global optimization technique. In the optimization process, the dynamical analysis of laminated composite plates is accomplished by utilizing a shear deformable laminated composite finite element, in which the exact expressions for determining shear correction actors were adopted, and the modal damping model constructed based on an energy concept. The optimal layups of laminated composite plates with maximum modal damping are then designed by maximizing modal damping capacity of the plate using the multi-start global optimization technique. The effects of length-to-thickness ratio, aspect ratio, end number of layer groups upon the optimum fiber orientations or layer group thicknesses are investigated by means of a number of examples of the design of symmetrically laminated composite plates.

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