玻璃钢/复合材料 ›› 2008, Vol. 198 ›› Issue (4): 3-6.

• 基础研究 •    下一篇

基于随机机会约束规划的复合材料层合板固有频率的铺层角优化设计

  

  1. 同济大学; 嘉兴学院
  • 出版日期:2008-07-28 发布日期:2008-04-25

AN OPTIMUM DESIGN OF PLY ORIENTATION ANGLES FOR THE NATURAL FREQUENCIES OF COMPOSITE PLATES BASED ON RANDOM CHANCES CONSTRAINT

  • Online:2008-07-28 Published:2008-04-25

摘要:

对具有随机弹性常数的复合材料层合板的固有频率优化问题进行研究。从单层板的刚度矩阵出发,给出层合板的刚度特性及一阶固有频率最大化的确定性模型,再根据Liu提出的随机机会约束理论,建立了一阶固有频率最大化的Maximax及Minimax的机会约束规划模型,根据试验及随机理论假设弹性常数服从经验分布,给出了弹性常数的经验分布随机数产生及处理随机机会约束的算法,再给出了基于随机模拟的遗传算法求解方法。最后给出了一个具体的复合材料层合矩形板在四边简支边界条件下基频优化的实例,验证了基于随机模拟的遗传算法求解的有效性。

关键词: 复合材料, 固有频率, 随机模拟, 遗传算法

Abstract:

Study on optimum design of ply orientation angles for natural frequencies of composite plates with random elastic constant.From the rigid matrix of monolayer plate,provides the rigid features of laminated composite plate as well as certain model with first intrinsic frequency.According to random chance constrained theory put forward by Liu,the chance constrained programming model about Maximax and Minimax of first intrinsic frequency is provided.On the basis of experiment and that random theory hypothesis elastic constant obey the experience distribution,the bringing out of experience distribution random datum of elastic constant datum as well as the algorithm dealing with random chance constrained is provided.Then the solution method of genetic algorithm based on random analogy is given.Finally,a specific living instance or the state that composite rectangle plate first optimization supported by four sides testifying the validity of the solution method of genetic algorithm based on ra...

Key words: laminated composite, natural frequencies, random analogy, genetic algorithm