A novel approach for calculating no-load static transmission error based on measured discrete tooth surfaces

Abstract No-load static transmission error (NLSTE) is widely recognized as the main source of vibration excitation. A novel approach for calculating NLSTE based on measured discrete tooth surfaces is proposed, with profile modifications, manufacturing errors and assembly errors considered. In modeling the measured discrete tooth surfaces, Delaunay triangulation is utilized to process the point data of tooth surfaces obtained by Coordinate Measuring Machines (CMMs), causing the tooth surfaces to be divided into multiple triangles. A new tooth contact analysis algorithm based on the principle of triangle intersection judgment is formulated to calculate the NLSTE of the gear pair. The NLSTE of a crowned spur gear pair with different assembly errors is computed by the proposed approach, and the numerical results are verified by comparing with the experimental results. The new approach is applicable to all types of gears.