基于等几何分析的风力机叶片PHT样条细分研究  

Study on PHT Spline Refinement of Wind Turbine Blade Based on Isogeometric Analysis

作　　者：印四华 朱成就 金熹 徐康康 杨碧霞 杨书益 汪泉[4] 唐万和 Yin Sihua;Zhu Chengjiu;Jin Xi;Xu Kangkang;Yang Bixia;Yang Shuyi;Wang Quan;Tang Wanhe(School of Mechanical and Energy Engineering,Guangdong Ocean University,Yangjiang,Guangdong 529500,China;School of Electromechanical Engineering,Guangdong University of Technology,Guangzhou 510006,China;Guangdong Zhongke Qihang Technology Co.,Ltd.,Foshan,Guangdong 528225,China;School of Mechanical Engineering,Hubei University of Technology,Wuhan 430068,China)

机构地区：[1]广东海洋大学机械与能源工程学院,广东阳江529500 [2]广东工业大学机电工程学院,广州510006 [3]广东中科启航技术有限公司,广东佛山528225 [4]湖北工业大学机械工程学院,武汉430068

出　　处：《机电工程技术》2024年第1期86-90,135,共6页Mechanical & Electrical Engineering Technology

基　　金：国家自然科学基金面上项目(51975190);广东省自然科学基金资助项目(2021A1515011971);广东海洋大学科研启动经费资助项目(360302022202)。

摘　　要：等几何分析方法作为一种新型数值分析方法得到了广泛关注。针对传统等几何分析过程中,非均匀有理B样条(NURBS)曲线建模存在控制点较多、局部细化薄弱以及多面片拼接导致模型空间连续性较差等问题,提出一种基于PHT样条分层细分的等几何分析(IGA)方法。以某型风力机叶片为研究对象,分析了PHT样条细分对风力机叶片模型求解精度的影响,并通过有限元仿真结果进行对比分析。结果表明:细分前基于NURBS的风力机叶片模型等几何分析结果与有限元结果的相对误差为5.9%,细分后IGA结果与有限元结果的相对误差为3.7%,证明了经过PHT样条细分,风力机叶片的等几何分析求解精度得到了有效提高。提出的方法对后续风力机叶片的数值仿真和优化设计具有一定的参考意义。Isogeometric analysis(IGA)has received widespread attention as a new numerical analysis method.Traditional NURBS curve modeling in geometric analysis suffers from problems,such as a large number of control points,weak local refinement,and poor model space continuity caused by multi-patch stitching.To address these issues,a PHT spline hierarchical subdivision-based IGA method is proposed and applied to study wind turbine blades.Taking a certain wind turbine blade as the research object,the influence of PHT spline refinement on the accuracy of wind turbine blade model solutions is analyzed,and the results are compared with finite element simulation results.The research results show that the relative error between the IGA result based on the NURBS wind turbine blade model before refinement and the finite element result is 5.9%;after PHT spline refinement,the relative error between the IGA result and the finite element result is reduced to 3.7%,which effectively improving the IGA solution's accuracy for wind turbine blades.The proposed method has important guiding significance for future wind turbine blades'numerical simulation and optimization design.

关 键 词：风力机叶片 PHT样条 等几何分析 非均匀有理B样条 

分 类 号：TH122[机械工程—机械设计及理论]