Tooth error analysis and control of internal helical gear form grinding

Abstract

In order to improve the tooth profile accuracy, main factors causing tooth error were analyzed by means of numerical simulation. Based on the principle of internal helical gear form grinding, it was known that the tooth error had much to do with the axial-section shape of form grinding wheel and the installation position of grinding wheel relative to the gear to be ground. Firstly, the mathematical model of internal helical gear form grinding was established, and the form wheel profile was determined through solving the contact equations of grinding wheel and tooth space. Then according to the wheel profile, the tooth profile at the end face of gear was found by means of the numerical imitation method. Taking the installation angle error AS, center distance error Aa, tangential position error Ay 0 and other factors into account, and combining specific example, the tooth error caused by AE, Aa, Ay 0 etc. was simulated and analyzed respectively. The error analysis method is helpful to finding the primary reason for tooth error and providing the basis for setting gear grinding machine correctly.