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Dynamics of Hypoid and Bevel Geared Rotor Systems

Cheng, Yuping
http://rave.ohiolink.edu/etdc/view?acc_num=osu1391708583

Abstract Details

2000, Doctor of Philosophy, Ohio State University, Mechanical Engineering.
This dissertation research is primarily focused on the development of an analytical multiple-degrees of freedom vibration model for analyzing hypoid or bevel geared rotor systems with emphasis on automotive applications. The focuses are on the modeling of the gear meshing mechanism that forms the basis of the dynamic formulation, and development of the basic understanding of the generation of gear whine response related to the vibratory characteristics of the geared rotor system. The following key issues are specifically addressed in this dissertation: 1. The spiral bevel and hypoid gear tooth surfaces in three-dimensional space are defined analytically and generated numerically by the simulation of the cutting process. A general algorithm is built on separated blocks. The method includes a modified roll generation scheme. The generated tooth surface forms the basis for the tooth contact analysis that leads to the formulation of a suitable gear mesh model. 2. Tooth contact analysis is developed to predict the unloaded kinematic transmission error and the theoretical contact path of idealized hypoid gear designs. Furthermore, an exact spatial mesh position and force vector theory is explicitly derived. 3. A generic three-dimensional coupled translation-rotational vibratory model for analyzing hypoid and bevel geared rotor systems is developed. The mesh formulation is based on the geometric characteristics and mechanics of contact cells on the gear tooth surface. In this case, the formulation applies the loaded transmission error as the primary excitation source, and includes the effects of gear backlash, friction, load, time-varying mesh position and force vectors. The mesh force coupling properties are explicitly represented by the time-varying and load-dependent mesh characteristic vectors. 4. The modal properties and force transmissibility are computed using a reduced linear time-invariant dynamic model by assuming stationary mesh stiffness and load vectors. The effect of pinion offset and spiral angle on the system vibratory response is analyzed. The force transmissibility through the gear mesh interface is investigated to examine the effectiveness of specific combinations of design parameters. 5. A translation-torsional coupled non-linear time-varying mesh dynamic model based on the loaded contact analysis of hypoid gears is studied numerically. The effects of the gear backlash non-linearity and friction force are also included. In addition, the loaded transmission error and load dependent mesh stiffness are integrated into the dynamic analysis. This study investigated the effect of time varying mesh vectors on the cross-axis gear vibration for the first time. 6. An experiment was conducted to provide a glimpse of the complex gear noise and vibration phenomena. The measured response is also used to partially verify the proposed model.
Donald R. Houser (Advisor)
Teik C. Lim (Advisor)
Gary L. Kinzel (Committee Member)
Robert G. Parker (Committee Member)
202 p.
Mechanical Engineering

Recommended Citations

Citations

  • Cheng, Y. (2000). Dynamics of Hypoid and Bevel Geared Rotor Systems [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1391708583

    APA Style (7th edition)

  • Cheng, Yuping. Dynamics of Hypoid and Bevel Geared Rotor Systems. 2000. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1391708583.

    MLA Style (8th edition)

  • Cheng, Yuping. "Dynamics of Hypoid and Bevel Geared Rotor Systems." Doctoral dissertation, Ohio State University, 2000. http://rave.ohiolink.edu/etdc/view?acc_num=osu1391708583

    Chicago Manual of Style (17th edition)

osu1391708583
483
© 2000, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.