Topography of modified surfaces based on compensated conjugation for the minimization of transmission errors of cylindrical gears

Abstract

In order to reduce the peak to peak transmission error (PPTE) during the design of tooth surface modifications of cylindrical gears, a new approach is proposed based on compensated conjugation, and procedures for creating the mathematical models of the modified tooth surfaces are exhibited. The core principle is that conjugation impaired by the loading condition can be compensated by adjusting the intentional transmission function. Firstly, the controllable function of transmission error (TE) is predesigned based on the loaded transmission error (LTE) of standard involute gear pairs; then, the function of ideal TE is determined by optimizing PPTE. Secondly, if the gear-pair is under an unfavorable supported condition, a further longitudinal correction is still required to reduce the error sensitivity, improve the load distribution on tooth surfaces, and eliminate the harmful edge-loading. Ultimately, two examples are presented to test the feasibility of this new approach. The final results show that perfect transmission (PPTE< 0.01″) can be achieved by introducing the ideal TE, and reductions in PPTE are significant over a wide range of loads; after further longitudinal modification, the LTE can be still effectively compensated by the introduced TE.