A model for evaluating the meshing characteristics and vibration characteristics of asymmetric spur gears with tooth modifications

Abstract

Based on the potential energy method and slice assumption, an analytical model is proposed to evaluate the meshing characteristics and vibration characteristics of asymmetric spur gear pairs with tooth modifications. Considering the extended tooth contact, the nonlinear Hertzian contact, the revised foundation stiffness and the tooth modifications, the meshing characteristics of asymmetric spur gear pairs can be accurately evaluated. The time-varying mesh stiffness and contact stress obtained from the proposed method are compared with that obtained from the finite element method. The results show that the two methods are in good agreement but the computational efficiency of the proposed method is much higher than the finite element method. With the increase of the pressure angle on driving side, the contact ratio and the contact stress decrease and the mesh stiffness increases. On the basis of the meshing characteristics model, the dynamic model of asymmetric spur gear pairs is established to evaluate vibration characteristics. With the increase of the pressure angle on driving side, the amplitude of vibration increases and the first natural frequency decreases slightly. The proposed model can provide the theoretical basis for the parameter design of asymmetric spur gear pairs with tooth modifications.