In-Process Error Compensation for Tooth Form Grinding Works (3rd Report, Error Compensation Method for Helical Gear Grinding Works with Grinding Wheel Truing Error)

摘要

An error compensation method for tooth form grinding works of an involute helical gear is proposed. Not only setting errors of a grinding wheel but also truing errors of it are concerned into the machining model. Profiles of tooth form are measured by a touch sensor, which is attached on the NC grinding machine. Distance between the profile data and tooth surface is expressed by nonlinear equations with constraints of implicit functions. The truing error and the setting error of the grinding wheel are derived as the distance between the actual tooth form profile data and the model tooth surface equal to the probe radius. Jacobian matrix, which is used in least square calculation for the error estimation, is derived by applying higher order differentials of the nonlinear equations and the implicit functions. The proposed algorithm was confirmed by numerical simulation