成型面叶片是指叶片型面沿叶高各截面内背弧型线的圆弧半径不随叶高变化、均相同的叶片,即可用成型铣刀加工出来的叶片.通过对成型面叶片型面成形规律的分析,运用三维几何变换理论,推导出了这类叶片型面的通用数学模型.应用该模型可推导出各种特殊成型面叶片型面的数学模型,从而可由这类叶片的零件图直接求出其型面的数学模型,为这类叶片型面的加工与测量奠定了理论基础. Profiled blade refers to the blade surface along the leaf height of each section of the back arc line arc radius does not vary with the leaf height, are the same leaves, that is, the blade can be molded out of the cutter through the forming surface of the blade profile Regularity analysis and the application of three-dimensional geometric transformation theory, a general mathematical model of the blade profile is deduced.The mathematic model of the blade profiles can be deduced by using this model, Obtained the mathematical model of its surface, which laid the theoretical foundation for the processing and measurement of such vane surface.