基于相变量的风力机叶片宏观拓扑优化设计  

MACRO TOPOLOGY OPTIMIZATION DESIGN OF WIND TURBINE BLADE BASED ON PHASE VARIABLES

作　　者：刁晓航 孙鹏文[1,2] 马志坤 赵雄翔 张兰挺 龙凯[4] Diao Xiaohang;Sun Pengwen;Ma Zhikun;Zhao Xiongxiang;Zhang Lanting;Long Kai(School of Mechanical Engineering,Inner Mongolia University of Technology,Hohhot 010051,China;Inner Mongolia Key Laboratory of Advanced Manufacturing Technology,Hohhot 010051,China;Energy Technology Center of Inner Mongolia Autonomous Region,Hohhot 010010,China;State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources,North China Electric Power University,Beijing 102206,China)

机构地区：[1]内蒙古工业大学机械工程学院,呼和浩特010051 [2]内蒙古自治区先进制造技术重点实验室,呼和浩特010051 [3]内蒙古自治区能源技术中心,呼和浩特010010 [4]华北电力大学新能源电力系统国家重点实验室,北京102206

出　　处：《太阳能学报》2023年第3期198-203,共6页Acta Energiae Solaris Sinica

基　　金：国家自然科学基金(51865041,52165035);内蒙古自治区直属高校基本科研业务费项目(JY20220080,JY20220373);内蒙古自治区硕士研究生科研创新资助项目(S20210186Z)。

摘　　要：不同复合纤维布和软夹芯材料的空间布局将产生不同的叶片结构性能和质量,为最大程度发挥材料空间布局的设计潜力,提出基于相变量的叶片宏观拓扑优化方法。基于独立连续映射法,建立以单元伪密度为设计变量、强度为约束、质量最小为目标函数的叶片多相材料拓扑优化数学模型,以修正的满应力设计方法和关系映射反演原则相结合的算法进行求解,通过Abaqus-Python-Matlab联合平台实现优化。以1.5 MW叶片为例,得到复合纤维和软夹芯材料的优化空间布局,基于等代设计法调整不规则区域。结果表明:优化后叶片的强度满足要求且质量明显减小,验证了方法的有效性和可行性。Blades have a range of structural performance and quality depending on the topology of composite fiber cloth and soft sandwich materials.To maximize the design potential of material space layout,this study proposes a macro topology optimization approach for blades by using phase variables.The mathematical formulation for topology optimization is established,with elemental pseudo density as design variable,minimum weight as the objective function and the strength as the constraint.The problem is solved using a combination of the modified full stress approach and the relational mapping inversion principle,with optimization performed using the Abaqus-Python-Matlab joint platform.Taking 1.5 MW blade as an example,the optimized space layout of blade composite and soft sandwich material is achieved,and the irregular area is adjusted using the equivalent design criteria.The results indicate that the optimized blade meets the requirements for strength,while dramatically reducing the mass,also verifying the effectiveness and feasibility of the proposed method.

关 键 词：拓扑优化 风力机 叶片 结构性能 相变量 强度约束 

分 类 号：TK83[动力工程及工程热物理—流体机械及工程]