中文摘要：

在数控强力刮齿加工过程中,针对因刮齿机床各项误差耦合造成的加工精度不高的问题,基于空间交错轴斜齿轮啮合原理,建立内齿圆柱齿轮强力刮齿加工的数学模型。由包含误差的齿面方程与理论齿面方程对比,得到机床各调整参数误差与全齿形法向偏差的变化规律,通过建立机床各调整参数误差与齿形偏差关联函数,提出一种基于建立齿形误差敏感系数矩阵的误差补偿方法。以一个内齿圆柱齿轮的刮齿加工计算实例验证本文所提方法的可行性。研究结果表明：因机床调整参数误差造成的齿形偏差得到了高精度补偿和修正,有效提高了强力刮齿的加工精度。

英文摘要：

To reduce the tooth profile deviations of power skiving processing caused by machine setting parameters error, a mathematic model of power skiving for working internal cylinder gear was established based on the engagement principle of crossed helical gear. The relationships were obtained between machine setting parameters error and tooth profile deviations by the difference of error tooth profile and theoretical tooth profile. An error compensation method was proposed for solving the sensitive coefficient matrix of tooth error. The validity of this method for power skiving was numerically demonstrated as working an internal cylinder gear for example. The results show that the tooth deviations caused by machine setting parameters error are corrected and the accuracy is improved.