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Nonlinear Time-varying Gear Mesh and Dynamic Analysis of Hypoid and Bevel Geared Rotor Systems

Wang, Jun
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186604249

Abstract Details

2007, PhD, University of Cincinnati, Engineering : Mechanical Engineering.
Hypoid and bevel gear pairs are high-speed, precision right-angle power transmission devices that are widely used in automotive and aerospace applications. However, their dynamic response due to gear transmission error excitation tends to cause annoying gear whines. The unwanted high frequency whine noise is characteristically tonal and is the result of structural vibration at the gear mesh frequency. This vibratory response is believed to be strongly affected by the nonlinearity and time-variation inherent in the parameters of these types of non-parallel axis gears. To address this problem, the influence of nonlinear time-varying mesh must be understood more clearly. Hence, to address this issue, the goal of this dissertation is to formulate reliable gear dynamic models to analyze the underlying physics controlling the effects of nonlinear and time-varying mesh and dynamic characteristics on gear whine generation and transmissibility phenomena. In order to establish a basis for comparison to results of nonlinear time-varying formulation, a linear time-invariant (LTI) mesh model is formulated first by neglecting gear backlash nonlinearity. This simple form of mesh model is applied to a proposed fourteen degrees-of-freedom lumped parameter dynamic model. The linearized formulation is also employed to study the effects of assembly errors on gear mesh and dynamic responses as well as the effects of key design parameters on the critical out-of-phase gear pair torsion modes. From the parametric study, less sensitive design sets that attempt to achieve a balance between reducing dynamic mesh force and minimizing vibration transmissibility can be identified. To study the true effects of time-varying mesh parameters and backlash nonlinearity, a generalized nonlinear time-varying (NLTV) dynamic model of a bevel or hypoid gear pair is developed. In the proposed formulation, a new exact time-varying mesh model is proposed that can be easily incorporated into the dynamic models. This resulted in NLTV dynamic models of bevel or hypoid gear pair systems with time-dependent nonlinear mesh damping and backlash nonlinearity. The resultant theory is then applied to study the boundary between nonlinear jump phenomena and linear response. Also, the new NLTV dynamic model is further extended to study the effect of mesh stiffness asymmetry on dynamic response. Using this model, numerous single degree-of-freedom NLTV dynamic models with different nonlinearities are analyzed and their results are compared to better understand the primary controlling factors. The single degree-of-freedom NLTV dynamic model is finally extended to a fourteen degrees-of-freedom dynamic representation to investigate the influence of wider range of driveline parameters and system modes.
Teik Lim (Advisor)

Recommended Citations

Citations

  • Wang, J. (2007). Nonlinear Time-varying Gear Mesh and Dynamic Analysis of Hypoid and Bevel Geared Rotor Systems [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186604249

    APA Style (7th edition)

  • Wang, Jun. Nonlinear Time-varying Gear Mesh and Dynamic Analysis of Hypoid and Bevel Geared Rotor Systems. 2007. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186604249.

    MLA Style (8th edition)

  • Wang, Jun. "Nonlinear Time-varying Gear Mesh and Dynamic Analysis of Hypoid and Bevel Geared Rotor Systems." Doctoral dissertation, University of Cincinnati, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1186604249

    Chicago Manual of Style (17th edition)

ucin1186604249
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© 2007, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.
Release 3.2.12