Analytical determination of the lead correction in a gear mesh due to bending-torsion effect
André Rodrigues Garcia da Silveira1; Roberto Martins de Souza1
1 Poli - USP
doi:10.20906/CPS/COB-2015-0828
Resumo
This work focus on the study of the contact pressure intensifier between two gears, which exists due to the gearbox components deformation. This effect also occurs in gearboxes manufactured without any machining and/or assembling errors. The lead correction is a machining operation executed at the gear's surface that compensates the displacement of shafts and gears, due to bending and torsion, and the gear's teeth displacement, due to bending and contact pressure. Factors that are important to the lead correction in gearboxes were studied. An analytical model was proposed in order to evaluate the lead correction necessary to diminish the contact pressure intensifier as a function of the displacements described above. This analytical model was compared to a literature's one and to the commercial software RIKOR ®. The results of the proposed lead correction are very similar to the literature's and RIKOR's, although there are differences at the extremes of the gears. Afterwards, a model of the gears and shafts with the involute profile and the lead correction evaluated analytically was developed. This model is tridimensional (3D) and was designed using SolidWorks and Inventor software. It was simulated using finite element analysis software ANSYS and it was possible to verify that the three lead corrections - proposed, from literature and from Rikor - diminished the contact pressure intensifier. At last, it was also possible to verify that the lead correction proposed is 3% more effective than the other ones in the case analyzed.
Palavras-chave: gear; lead correction; machine elements; finite element analysis