小轮齿面误差与调整参数误差敏感性研究

研究SFT(spiral format tilt)加工法加工的弧齿锥齿轮小轮齿面误差与调整参数误差之间的敏感性关系.给出含刀倾法加工的弧齿锥齿轮齿面模型建立方法,基于齿轮啮合原理建立调整参数误差敏感性分析模型,推导了弧齿锥齿轮小轮的理论齿面方程和误差齿面方程,继而推导了机床调整参数误差作用下的齿面任一点加工误差的解析表达式,并提出了机床调整参数误差对齿面误差的影响系数概念,依此判断各项机床调整参数误差对齿面误差的影响程度.通过理论齿面和误差齿面的比较,确定了各项机床调整参数误差作用下的全齿面法向误差的变化规律.由解析法和数值法求解共同确定了弧齿锥齿轮加工过程中对齿面误差影响较大的调整参数误差项.研究结果可为弧齿锥齿轮齿面误差补偿修正提供理论依据和实践指导.

Research on the sensitivity between the machine adjustment parameter errors and the spiral bevel gears surface errors

The effect law between the machine adjustment parameter errors and surface errors of the hypoid gears by SFT(spiral format tilt) was researched.Based on the gear meshing theory,the equations of theoretical tooth bearing and error tooth were established,the analytical expression of tooth surface processing errors caused by the machine adjustment parameter errors was derived,and the concept of error influence coefficient was proposed.The impact of surface errors caused by machine adjustment parameter errors can be obtained according to the error influence coefficient.By comparing the theoretical tooth bearing with error tooth,the effect law of the whole tooth surface law errors caused by the machine adjustment parameter errors was determined.The major impacts of the machine adjustment parameter errors were determined by the analytical and numerical method.The content and methods of this research provide a theoretical basis and practical guidance to compensate the machine adjustment errors for the spiral bevel gears surface errors.