Prediction of Gear Tooth Separation in Single-Stage Gear Systems, Using Numerical Techniques.

摘要

The following report describes a comprehensive numerical procedure for predicting tooth separation in a single-stage gear system, and provides information on its programming and use. This programmed procedure, named Gearsep, allows any segment of a spur gear train to be analyzed for the critical operating conditions under which tooth separation can occur. Gear tooth separation, as evaluated in this report, occurs when the varying compliances (or, conversely, the 'stiffnesses') of the meshing teeth cause the contacting tooth pair to react against the system's shafts to such an extent that tooth surfaces loose contact with one another. When the teeth regain contact, they do so with an impact, causing high tooth stresses and unwanted noise. The numerical procedure takes readily available gear analytical compliance model for a pair of mating teeth moving through different contact positions. This model is passed to a numerical integration scheme which determines relative gear motion, and thus predicts separation. The particular tooth compliance model choosen is based on straightforward strength of materials concepts. This report presents a sample gear train investigation and confirms the accuracy and stability of the numerical integration algorithm by comparing it with an analytical solution of a simplified gear system. (jhd)