Effect of high-order roll ratio correction coefficient on tooth surface shape of spiral bevel gear
Based on the mathematical model of the tooth surface of the spiral bevel gear,the high-order roll ratio correction coefficient was introduced,the vector calculation and binary iteration methods were adopted to discrete the tooth surface,and the tooth profile deviation of each discrete point was calculated.The influence of the change of the correction coefficient of each order on the tooth surface shape of the spiral bevel gear was analyzed,and the tooth surface error topology diagram was drawn to show the deviation direction of the error surface from the theoretical tooth surface and the magnitude of the error value.Based on the model of tooth surface error,the least square method was used to calculate the sensitivity coefficient of the tooth surface under the change of the correction coefficient of each order.The influence type and degree of each order of correction coefficient on the tooth surface shape was analyzed,which provided a theoretical basis for the adjustment of tooth surface geometry and the correction of tooth profile error in the actual machining process of spiral bevel gear.The correctness of the tooth surface mathematical model and the tooth surface error topology is verified by actual grinding and measurement.
high-order roll ratio correction coefficientspiral bevel geartooth profile deviationerror sensitivity coefficient