Based on the coordinate transformation method and gearing theory, the mathematical models for generating the rack cutter, pinion, face-gear, as well as Tooth Contact Analysis (TCA), are established.

• 应用座标转换法与齿轮啮合原理，本文已导出创成齿条齿面数学模式、小齿轮齿面数学模式、面齿轮齿面数学模式、齿面接触分析数学模式及控制抛物线运动误差大小之统御方程组。