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Torque Load Effect on Multi-Point Mesh and Dynamics of Right-angle Geared Drives
Wang, Yawen

2013, MS, University of Cincinnati, Engineering and Applied Science: Mechanical Engineering.
Hypoid and bevel gears are widely used in the rear axles of both on and off-highway vehicles, and are often subjected to harmful dynamic responses which cause gear whine noise and structural fatigue problems. The primary goal of this thesis is therefore to develop a more realistic mesh and dynamic model to predict the vibratory response of hypoid and bevel geared systems, and study the effect of different working conditions, e.g. operating speed, torque load, on the dynamic responses of those systems.

First, 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 to calculate the dynamic responses, such as dynamic mesh force and dynamic transmission error, which demonstrates good agreement with those predicted by using 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 time-varying mesh stiffness, transmission error, mesh point and line-of-action. One of the advantages of the multi-point mesh model is that it allows the calculation of dynamic responses for each engaging tooth pair, and simulation results for an example case are given to show the time history of the mesh parameters and dynamic mesh force for each pair of teeth within a full engagement cycle. This capability enables the analysis of durability of the gear tooth pair and more accurate prediction of the system response. Secondly, to have more insights on the load dependent mesh parameters and dynamic responses of the hypoid and spiral bevel geared systems, a load dependent mesh model is developed by using 3-dimensional loaded tooth contact analysis (LTCA). The contact ratio and time-varying mesh parameters including the mesh stiffness, transmission error, mesh point and line-of-action of the mesh force are examined within a wide torque range. Then a nonlinear multi-body dynamic analysis is performed considering the effect of backlash nonlinearity. Simulation results show that the contact ratio and mesh stiffness generally increases as the toque load increases. The effect of torque load on dynamic mesh force is found to be frequency dependent due to the resonance frequency shifts and peak magnitude changes. This study provides an in-depth understanding of the dynamic tooth load sharing and the dynamic behaviors for hypoid and bevel geared systems in terms of change in operating load. Therefore, the proposed model can be employed to assist in gear design optimization.
Teik Lim, Ph.D. (Committee Chair)
J. Kim, Ph.D. (Committee Member)
David Thompson, Ph.D. (Committee Member)
63 p.

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Wang, Y. (2013). Torque Load Effect on Multi-Point Mesh and Dynamics of Right-angle Geared Drives. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

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Wang, Yawen. "Torque Load Effect on Multi-Point Mesh and Dynamics of Right-angle Geared Drives." Electronic Thesis or Dissertation. University of Cincinnati, 2013. OhioLINK Electronic Theses and Dissertations Center. 11 Dec 2017.

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Wang, Yawen "Torque Load Effect on Multi-Point Mesh and Dynamics of Right-angle Geared Drives." Electronic Thesis or Dissertation. University of Cincinnati, 2013. https://etd.ohiolink.edu/

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