为进一步发挥复合材料铺层参数的可设计性潜力,提出融合离散材料优化法与遗传算法的叶片铺层角度优化方法。构建以细观单元铺层角度为设计变量、刚度最大为目标函数、应力最小为约束条件的叶片细观纤维铺层角度优化数学模型。应用Python语言编写算法求解程序,并与Abaqus软件交互进行求解,得到叶片各单元各层优化的铺层角度、铺层顺序和各铺层纤维的厚度。以1.5 MW叶片为例,优化后叶片的最大位移和Tsai-Wu失效因子明显减小,性能显著提升,验证了该方法与算法的有效性和可行性。
Abstract
In order to further develop the design potential of ply parameters of composite layer, an optimization method of ply angle for wind turbine blade is proposed, which combines DMO method with genetic algorithm. The topology optimization mathematical model for micro ply angle of blade is established, which takes the element ply angle as design variable, the maximum stiffness as the objective function and the minimum stress as the constraint condition. Python language is used to write the algorithm program and solve the problem interacted with Abaqus software. Finally the optimized ply angle of each unit and layer are obtained. Taking 1.5 MW blade as an example, the maximum displacement and Tsai-Wu failure factor of optimized blade are reduced, and the properties are significantly improved. The effectiveness and feasibility of the method are verified.
关键词
拓扑优化 /
数学模型 /
风力机叶片 /
铺层角度 /
离散材料优化
Key words
topology optimization /
mathematical model /
wind turbine blades /
ply angle /
discrete material optimization
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 赵清鑫, 张兰挺.基于径向基神经网络的风力机叶片铺层优化[J]. 太阳能学报, 2020, 41(4): 229-234.
ZHAO Q X, ZHANG L T.Ply parameter optimization of wind turbine blade based on radial basis function netural network[J]. Acta energiae solaris sinica, 2020, 41(4): 229-234.
[2] 王栋.基于DMO的复合纤维风力机叶片铺层参数优化[D]. 呼和浩特: 内蒙古工业大学, 2019.
WANG D.Optimization of ply parameters of composite wind turbine blade based on DMO[D]. Hohhot: Inner Mongolia University of Technology, 2019.
[3] LUND E, STEGMANN J.On structural optimization of composite shell structures using a discrete constitutive parametrization[J]. Wind energy, 2005, 8(1): 109-124.
[4] HVEJSEL C F, LUND E, STOLPE M.Optimization strategies for discrete multi-material stiffness optimization[J]. Structural and multidisciplinary optimization, 2011, 44(2): 149-163.
[5] HVEJSEL C F, LUND E.Material interpolation schemes for unified topology and multi-material optimization[J]. Structural and multidisciplinary optimization, 2011, 43(6): 811-825.
[6] 孙鹏文, 邢哲健, 王慧敏, 等. 复合纤维风力机叶片结构铺层优化设计研究[J]. 太阳能学报, 2015, 36(6): 1410-1417.
SUN P W, XING Z J, WANG H M, et al. Study on optimization design of wind turbine blade with composite fiber lamination structure[J]. Acta energiae solaris sinica, 2015, 36(6): 1410-1417.
[7] 张兰挺, 李双荣, 孙鹏文, 等. 铺层参数对风力机叶片结构性能的耦合影响分析[J]. 太阳能学报, 2018, 39(6): 1768-1774.
ZHANG L T, LI S R, SUN P W, et al. Coupling effects analysis of laminating parameters to structural properties of wind turbine blade[J]. Acta energiae solaris sinica, 2018, 39(6): 1768-1774.
[8] STEGMANN J, LUND E.Discrete material optimization of general composite shell structures[J]. International journal for numerical methods in engineering, 2005, 62(14): 2009-2027.
[9] SJØLUND J H, PEETERS D, LUND E.Discrete material and thickness optimization of sandwich structures[J]. Composite structures, 2019, 217: 75-88.
[10] LUND E.Discrete material and thickness optimization of laminated composite structures including failure criteria[J]. Structural and multidisciplinary optimization, 2017, 57(6): 1885-1897.
[11] SJØLUND J H, PEETERS D, LUND E.A new thickness parameterization for discrete material and thickness optimization[J]. Structural and multidisciplinary optimization, 2018, 58(5): 1885-1897.
[12] NIU B, SHAN Y, LUND E.Discrete material optimization of vibrating composite plate and attached piezoelectric fiber composite patch[J]. Structural and multidisciplinary optimization, 2019, 60(5): 2357-2375
基金
国家自然科学基金（51865041）; 新能源电力系统国家重点实验室开放课题（LAPS20019）; 内蒙古自然科学基金（2019MS05070; 2020MS05022）
PDF(2173 KB)
