风力机叶片铺层参数多目标优化设计  

Multi-objective Optimization of Ply Parameters for Wind Turbine Blade

作　　者：董新洪 孙鹏文[1] 张兰挺[1] 王宗涛 DONG Xinhong;SUN Pengwen;ZHANG Lanting;WANG Zongtao(School of Mechanical Engineering,Inner Mongolia University of Technology,Hohhot 010051;Research Institute,Beiqi Foton Motor Co.,Ltd.,Beijing 102206)

机构地区：[1]内蒙古工业大学机械工程学院,呼和浩特010051 [2]北汽福田汽车股份有限公司研究院,北京102206

出　　处：《机械工程学报》2022年第4期165-173,共9页Journal of Mechanical Engineering

基　　金：国家自然科学基金(51865041,52165035);内蒙古自然科学基金(2019MS05070)资助项目。

摘　　要：叶片铺层设计为一个多参数、多目标的复杂耦合作用过程,其性能主要取决于铺层参数。通过推导正轴刚度不变量和弯扭刚度矩阵间的关系,构建层合板刚度等效模型与铺层顺序表征参数之间的数学关系,实现铺层顺序的量化;应用均匀试验设计、有限元分析和和多元非线性回归法,构建铺层参数和叶片性能间的耦合数学模型,分析单参数和两两参数对叶片刚强度的影响;为实现叶片刚强度的多目标优化,应用层次分析法计算各目标函数权重,建立叶片多目标优化数学模型;基于模拟退火算法进行求解,得到叶片综合性能最优的铺层参数组合为铺层角度45°、±x°铺层厚度比例为58%、铺层顺序为[±x°/0°/90°/±x°]TN。结果表明优化后叶片的最大位移和Tsai-wu失效因子分别降低了2.79%和5.87%,性能得以提高,验证所提出多目标优化方法的有效性和可行性。The design of blade layer is a complex coupling process of multi-parameter and multi-object, and the performance of the blade mainly depends on the ply parameters. Through deducing the relationship between stiffness invariants of positive axis and bending-torsion stiffness matrix, establishing the mathematical relationship between equivalent stiffness model of laminate and the ply stacking sequence, the quantification of ply stacking sequence is realized. The nonlinear coupling mathematical model between ply parameters and blade properties is constructed by a combination of uniform test design method, numerical simulation and regression analysis. The effects of single parameter and pairwise interactions of ply parameters on blade’ stiffness and strength are analyzed. To achieve multi-objective optimization of blade strengthand stiffness, the analytic hierarchy method is used to calculatethe weight of every single-objective function, and the multi-objective optimization mathematical model of blade is established. The ply parameters of the optimal blade comprehensive performance is obtained based on simulated annealing algorithm, which is 45°of ply angle, 58% of ±x°ply thickness ratio and [±x°/0°/90°/±x°]TN of ply stacking sequence. The results show that the maximum displacement and Tsai-wu failure factor of the optimized blade are reduced by 2.79% and 5.87%, respectively, and the properties of blade are improved. The effectiveness and correctness of the proposedoptimization method of multi-parameter and multi-object is verified.

关 键 词：多目标优化 铺层参数 离散变量量化 数学模型 风力机叶片 

分 类 号：TH16[机械工程—机械制造及自动化]