Multi-Objective Design of Laminated Composite Plates Using a Constrained Global Optimization Technique

應用束制條件的最佳化設計方法來研究複合材料層板的多目標設計

賴峰民(F. M. Lai) ； 金大仁(T. Y. Kam)

《中華民國振動與噪音工程學會論文集》 1998 (1998/05) Pp. 321-325

https://doi.org/10.30028/CSSVANNUAL.199805.0321

摘要

本文應用一具束制條件的全域最佳化設計方法來研究複合材料層板的多目標設計。層板是由若干層組組成，而各層組之纖維角度及厚度定為設計變數，其值由最佳設計程式來求取以使復材層板的機械行為達到所擬定之目標。本文以一些例子說明複材層板的多目標設計方法及應用。

並列摘要

A constrained global optimization technique for multi-objective design of laminated composite plates is presented. The objective is to design layer group parameters (fiber angles and thicknesses of layer groups) of laminated composite plates for attaining global optimum behavioral characteristics subject to side constraints. The analyses of the mechanical behaviors of the plates are accomplished using a shear deformable finite element which is applicable for both thin and moderately thick laminated composite plates. A simple weighting method is used to construct the multi-objective function in which the mechanical behavioral characteristics of a plate are linked together via some appropriate weighting factors. The layer group parameters for the plate with global optimal behavioral characteristics are then designed by minimizing the multi-objective function of the plate using the proposed constrained multi-start global optimization technique. A number of examples of the design of simply supported symmetrically laminated composite plates with different aspect ratios and numbers of layer groups for both maximum fundamental frequencies and minimum deflections are given to demonstrate the applications and effectiveness of the present optimization algorithm.