基于阶梯函数插值模型的复合材料层合板铺层优化设计  

Layer optimization design of composite laminates based on stepped function interpolation model

作　　者：丁文杰 李梦宇 廖海涛 赵志颖 王运开 李华 耿琳琳 徐静 DING Wen-jie;LI Meng-yu;LIAO Hai-tao;ZHAO Zhi-ying;WANG Yun-kai;LI Hua;GENG Lin-lin;XU Jing(Institute of Advanced Structure Technology,Beijing Institute of Technology,Beijing 100081,China;Beijing Aircraft Technology Research Institute of COMAC,Beijing 102211,China;China North Vehicle Research Institute,Beijing 100072,China)

机构地区：[1]北京理工大学先进结构技术研究院,北京100081 [2]中国商用飞机有限责任公司北京民用飞机研究中心,北京102211 [3]北方车辆集团有限公司车辆研究院,北京100072

出　　处：《舰船科学技术》2022年第10期21-25,共5页Ship Science and Technology

摘　　要：针对复合材料层合板铺层优化中的离散组合优化属性,本文提出一种提出基于拓扑优化罚函数思想的阶梯函数插值模型,建立复合材料连续变量与离散变量的映射关系,进而运用连续变量优化算法求解离散组合优化问题。基于线性递减权值策略的粒子群算法,考虑层合板最大基础频率,对层合板铺层角度进行离散组合优化设计,并与应用差分进化算法(DE)、模拟退火算法(SA)所得到的结果进行对比。结果表明,3种优化方法得到的最大基础频率一致,证明了提出方法的有效性。A stepped function interpolation model by making use of the penalty function idea of topology optimization is developed.Considering the discrete combinatorial optimization properties in the layer optimization of composite laminates.Then,the mapping relationship between composite continuous variables and discrete variables is established.The discrete variables can be applied in the optimized algorithm solution.The particle swarm algorithm based on the linear decreasing weight strategy is generalized.The discrete combination optimization design of the laminate angle is accomplished by taking into account the maximum basic frequency of the laminate.Moreover,different results obtained by the Evolution Algorithm(DE)and the Simulated annealing Algorithm(SA)are compared as well.The results reveal that the maximum fundamental frequencies optimized by the above three methods are identical,which proves the effectiveness of the proposed method.

关 键 词：复合材料 层合板 阶梯函数 基础频率 铺层角度 

分 类 号：U668.33[交通运输工程—船舶及航道工程]