基于灵敏度分析的复合材料层合板优化设计  

Design Optimization of Composite Laminated Plates based on Sensitivity Analysis

作　　者：尤风翔[1] 郝庆东[2] 

机构地区：[1]广东揭阳学院,广东揭阳522000 [2]辽东学院,辽宁丹东118000

出　　处：《噪声与振动控制》2005年第4期67-70,共4页Noise and Vibration Control

基　　金：第二批新世纪广东省高等教育教学改革工程项目基金资助课题;项目编号:粤教高[2002]157号

摘　　要：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。根据层合板的一阶剪切理论,采用样条有限元法,推导并建立了层合板的振动方程,刚度矩阵,质量矩阵,比例阻尼矩阵以及求解反对称层合板响应灵敏度的计算公式,在基于灵敏度分析的基础上,进行了复合材料层合板的基频分析和优化设计,并用网格法计算最佳铺层角。数值算例验证了算法的有效性。The geometric parameters of composite laminated plates are usually random due to the effect of various indeterminate factors in engineering structure. The study of the sensitivity of random parameter laminated plates and the analysis of its optimum design of parameters play an important role in the right estimation of the reliability of construction design. This article according to the elementary shear theory for laminated plates, infer and establishes the vibration formula, angular rigidity matrix，mass matrix, proportionally damping matrix for the laminated plates and the calculation for responding sensitivity of antisymmetric laminated plates by using the spline finite element method, conduucts an analysis of element frequency and a design optimization of composite laminated plates， Based on sensitivity analysis and calculates the best angle of arraning lamination by using the mesh law. The example caculations prove the validity of the calculating ways introduced by this paper。

关 键 词：振动与波 随机参数 复合材料层合板 响应分析 灵敏度分析 优化设计 

分 类 号：O39[理学—工程力学] TB33[理学—力学]