中文摘要：

为了准确高效地构造汽轮机叶片曲面,采用三次非均匀有理B样条拟合叶片表面.分别采用向心参数法和累积弦长参数化法计算叶片横截面和纵向的节点矢量,根据求得的控制顶点网格和节点矢量建立叶片精确的数学模型,并给出其矩阵表达形式.经实例验证表明：所建立的叶片数学模型完全满足精度要求,对提高叶片的设计质量和进行叶片动力特性分析具有实用价值.

英文摘要：

To construct turbine blade efficiently and accurately,non uniform rational B-spline（NURBS） has been adopted to fit the turbine blade surface.The specific way is first to work out the cross section and longitudinal node vectors, respectively using the centripetal parameter method and the accumulation chord length parameter method,then to build accurate mathematical model based on control points and node vector acquired previously,and finally to give out its matrix expression.Actual application results show that the mathematical model satisfies relevant accuracy requirements,and therefore may serve as a reference in improving design quality and carrying on characteristic analysis of turbine blades.