摘要
为实现叶片的函数化设计,经过对翼型函数进行坐标变换、扭角旋转变换和数学推导等步骤,建立了叶片的通用数学模型,且给出了具有2个参变量(翼展位置、弦长位置)的显式参数方程组;提出了叶片函数化设计法的初步设想,用叶片函数生成了叶片三维立体图像,给出了两组示例。研究表明,叶片数学模型由翼型函数、弦长函数和扭角函数3个子函数组成,且可用显式方程组表示;通过调整叶片子函数的结构或其中的常数值,可以方便、迅速地修改设计,且可随时显示最终效果图,在叶片函数与叶片图像之间可建立一一对应的随动关系,能方便设计分析工作。
In order to achieve the function design of the blade of horizontal axis wind turbine, through the coordinate transformation of the airfoil function, the rotational transform of the twist angle function and mathematical derivation steps, a general mathematical model of the blade was established, and the explicit function equations with two parametric variables（the wingspan position and chord position of the blade） were deduced;the function design method of blade was proposed,three-dimensional image of the blade was generated by blade function,and two examples were given. The studies show that the blade mathematical model consists of three sub-functions（the airfoil function,chord length function and the twist angle function）,and can be expressed by explicit parametric equations;by adjusting the structure or constant of the sub-functions,the design can be easily and quickly modified and displayed, and the one-to-one relationship between the blade function and blade image was created,which could facilitate the design and analysis works.
出处
《机械设计》
CSCD
北大核心
2014年第5期78-82,共5页
Journal of Machine Design
基金
国家自然科学基金资助项目(51375489)
关键词
水平轴风力机
叶片设计
数学模型
叶片函数
函数化设计
horizontal axis wind turbine
blade design
mathematical model
blade function
function design
