基于多项式插值函数的翼型参数化设计方法  

Airfoil parametric design method based on polynomial interpolation function

作　　者：张明辉[1] 石胜明 常伟[1] 

机构地区：[1]山东科技大学机电学院,山东青岛266590 [2]中国石油管道长沙输油气分公司,湖南长沙410000

出　　处：《可再生能源》2016年第7期1040-1045,共6页Renewable Energy Resources

基　　金：国家自然基金青年项目(51005138)

摘　　要：为开发性能优良的风力机专用翼型,提出一种借助广义的中弧线函数和对称翼型的型线函数构造翼型表面形状的方法。首先,推导了表征翼型几何特性的多项式插值函数表达式,改变多项式的系数和阶次,可对翼型的几何形状进行调整和优化;然后,为验证新方法精确描述翼型曲线的能力,分析比较了5种典型翼型应用不同阶次插值函数的拟合精度;最后,以s809和NACA63-412为例,对原翼型和多项式拟合翼型的气动特性进行比较,显示出所提出的方法具有良好的几何和气动收敛特性。The kind of method using the generalized arc function and symmetric airfoil type line function was proposed to describe airfoil surface shape to develop the high performance special airfoils of wind turbine. The polynomial interpolation function is derived and the airfoil geometry can be changed and optimized by adjusting polynomial coefficients and time. Then,the new method＇s ability which accurately describes the airfoil curve was validated and fitting precision of different order interpolation function for the five typical airfoils was analyzed. Finally, the aerodynamic characteristics of the original airfoil and polynomial fitting airfoil are compared. The results show that the new method has good geometry and pneumatic convergence properties.

关 键 词：风力机翼型 参数化设计 型线函数 多项式插值 收敛特性 

分 类 号：TK83[动力工程及工程热物理—流体机械及工程]