NEW APPROACH BASED ON ANALYTIC - NUMERICAL METHOD FOR CALCULATING THE SLIDING DISTANCE OF TEETH PROFILE POINTS DURING GEARS MESHING

New approach based on analytic-numerical method for calculating the sliding distance of teeth profile points during gears meshing is proposed in this study. In our approach we have shown that the sliding distance of teeth profile points is due to the Hertz deformation. Our method of calculation consist of following a point on the profile by its radius during the contact. The analytical approach has been successfully implemented in Matlab code and solved numerically. The results show that the sliding distance is not null at pitch point. Compared with the common used method, the results are very close, except at the neighborhoods of the pitch point and the points of the head and the foot, where the deviations become greater. The deviations for normal points vary between 0.16% and 6.52% for simulated meshing conditions.