关键词: 变位齿轮副, 啮合刚度, 齿面摩擦, 几何偏心误差

Abstract: Taking the involute spur gear pairs with profile shift as the research object， the mesh stiffness calculation models including nonlinear Hertzian contact stiffness， tooth profile curve， fillet foundation stiffness with structure coupling effect were established based on the potential energy method. Considering the influences of gear profile shifts， the calculation formulas for tooth profile curve， half tooth angle of base circle and half tooth angle of dedendum circle in mesh stiffness calculation were revised. The fillet foundation stiffness models were revised by considering tooth surface frictions. The pressure angle models of gear mesh point were derived by considering geometric eccentricity errors. The effects of profile shifted， tooth surface frictions and geometric eccentricity errors on mesh stiffness were studied. The results show that the center distance， stiffness amplitude and contact ratio of the profile shifted gear pairs have great changes. Owing to the profile shift， the moment when the direction of frictional force changes on a pair of meshing gears no longer occurs within the single tooth meshing interval， thereby affecting the characteristics of the mesh stiffness. Geometric eccentricity increases the peak-to-peak values of the mesh stiffness， and at the same time， sideband frequencies with intervals corresponding to the rotational frequencies appear in the frequency domain of the meshing stiffness. In the presence of eccentricity errors in both the driving and driven gears， a new sideband frequency arises with an interval equal to the difference in rotation frequency. Considering the combined effects of three factors， the mesh stiffness characteristics may be significantly influenced. The research results provide the references for further researches of the dynamics of profile shifted gears. 

Key words:  , profile shifted gear pair, mesh stiffness, tooth surface friction, geometric eccentricity error