随机参数反对称层合板响应的灵敏度分析及优化设计

Sensitivity Analysis and Optimum Design for Laminated Plates of Composite Material

工程结构中的复合材料层合板的几何参数往往具有随机性质.如何研究随机参数层合板的灵敏度, 并对参数进行优化分析,这对正确估计结构设计的可靠性有着非常重要的意义.本文用随机摄动法,导出了求反对称层合板响应灵敏度的计算公式,研究了随机参数反对称层合板响应的灵敏度和优化设计,并用网格法计算出最佳铺层角.

Abstract： The geometric parameters of laminated plates of composite material are usually random due to the effect of various indeterminiate factors in engineering structure. The study of the sensitivity of random parameter laminated plates and the analysis of the optimum design of parameters play on important role in the right estimation of the reliability of construction design. This article infers the calculation formula for responding sensitivity of antisymmetrically laminated plates by using random perturbation law, studies the responding sensitavity and the optimum design of random paramters of antisymmetrically laminated plates, and calculates the best angle of arranging lamination by using the mesh law.