Wang, Y., Lim, T., and Yang, J., "Multi-Point Mesh Modeling and Nonlinear Multi-Body Dynamics of Hypoid Geared System," SAE Int. J. Passeng. Cars - Mech. Syst. 6(2):1127-1132, 2013, doi:10.4271/2013-01-1895.
A multi-point hypoid gear mesh model based on 3-dimensional loaded tooth contact analysis is incorporated into a coupled multi-body dynamic and vibration hypoid gear model to predict more detailed dynamic behavior of each tooth pair. To validate the accuracy of the proposed model, the time-averaged mesh parameters are applied to linear time-invariant (LTI) analysis and the dynamic responses, such as dynamic mesh force, dynamic transmission error, are computed, which demonstrates good agreement with that predicted by single-point mesh model. Furthermore, a nonlinear time-varying (NLTV) dynamic analysis is performed considering the effect of backlash nonlinearity and time-varying mesh parameters, such as mesh stiffness, transmission error, mesh point and line-of-action. Simulation results show that the time history of the mesh parameters and dynamic mesh force for each pair of teeth within a full engagement cycle can be simulated. This capability enables the analysis of durability of the gear pair and more accurate prediction of the system response.