Study on Processing of Spiral Bevel Gear for High-order Motion of CNC Axes Using Completing Method
To solve the tooth surface error correction in processing of spiral bevel gears by using completing method,a method for high-order motion of CNC axes is studied.Firstly,the equivalent transformation between the traditional cradle-type model and the CNC model was accomplished according to the relative position of milling cutter and workpiece,and the motion of axes were represented as sixth-order polynomial;then the tooth surface was expressed by sixth-order polynomial,the influence of the coefficients on the tooth surface were researched.The results showed that the influence decreased as the order increased in the same variation.A weight coefficient is introduced and a cooperative correction model for tooth surface is constructed to decrease the tooth surface error based on the sensitivity matrix of coefficient.Finally,a numerical example was carried out to verify the present method and results showed which it's effective and feasible.The present method can also be applied to process the spiral bevel gear in other methods.
spiral bevel gearcompleting methodsixth-order polynomialweight coefficientcooperative correction of tooth surface