关键词: 插齿机, 电子螺旋导轨, 附加转动, 曲柄滑块机构

Abstract: For improving the internal helical gear machining precision of electronic helical guides, this paper analysed the principles about how to cause the errors of spiral line of internal helical gears according to kinematics of the driving chains in a gear shaping machine. Firstly, a mathematical model of additional rotation of the tool was established according to the kinematic relationship of several axles, and an additional rotation coefficient was defined. Then, the mathematical relationships among the errors of spiral line and the errors of additional rotation and main motion were established respectively, and a coefficient Zebra was defined. At last, the mechanism causing the errors of spiral line was analyzed, and the influences of the length of rods and the position of crank and the gap of motion joints on the error of spiral line were concluded.

Key words: gear shaping machine, electronic helical guide, additional rotation, slider crank mechanism