The kinematics is developed and investigated deeply for the point-conjugate tooth surface couple. The formation principle of the conjugate tooth surface couple is studied by means of the kinematics, and the formation mechanism and law are revealed. The kinematic theory is established for the point-conjugate gear drive to measure its motion stability, in which the method to compute the angular acceleration of the driven gear is presented in detail. A novel kind of crossed-axis gearing that is convenient to be machined is proposed and named the mixed mismatched conical worm drive. The kinematic meshing quality is investigated for the worm drive by applying the established kinematic theory. The numerical results reflect that the transmission error of the worm drive is little and the adjacent error curves are intersectant. The angular acceleration of the worm gear is extremely small, and therefore the vibration and impact caused by the mismatch are weak for the worm drive. It is more reasonable that the curve of transmission error of the worm drive is a high-order polynomial curve since the angular acceleration is not constant.

对点共轭齿面耦合进行了运动学的开发和深入研究。借助运动学研究了共轭齿面偶的形成原理，揭示了其形成机理和规律。建立了点共轭齿轮传动的运动学理论，测量其运动稳定性，详细介绍了从动齿轮角加速度的计算方法。提出了一种便于加工的新型交叉轴齿轮传动装置，命名为混合错配圆锥蜗杆传动装置。应用已建立的运动学理论研究蜗杆传动的运动啮合质量。数值结果表明蜗杆传动的传动误差很小，相邻误差曲线相交。蜗轮的角加速度极小，因此对蜗杆传动的不匹配引起的振动和冲击很弱。由于角加速度不恒定，蜗杆传动的传动误差曲线为高阶多项式曲线更为合理。