Dynamics of Hypoid Gear Transmission With Nonlinear Time-Varying Mesh Characteristics

Author:

Cheng Yuping1,Lim Teik C.2

Affiliation:

1. Ford Motor Company, Livonia, MI 48150

2. Department of Mechanical, Industrial & Nuclear Engineering, The University of Cincinnati, Cincinnati, OH 45221-0072

Abstract

The coupled translation-rotation vibratory response of hypoid geared rotor system due to loaded transmission error excitation is studied by employing a generalized 3-dimensional dynamic model. The formulation includes the effects of backlash nonlinearity as well as time-dependent mesh position and line-of-action vectors. Its mesh coupling is derived from a quasi-static, 3-dimensional, loaded tooth contact analysis model that accounts for the precise gear geometry and profile modifications. The numerical simulations show significant tooth separation and occurrence of multi-jump phenomenon in the predicted response spectra under certain lightly loaded operating conditions. Also, resonant modes contributing to the response spectra are identified, and cases with super-harmonics are illustrated. The computational results are then analyzed to quantify the extent of non-linear and time-varying factors.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference33 articles.

1. Litvin, F. L., and Gutman, Y., 1981, “Method of Synthesis and Analysis for Hypoid Gear-drives of Format and Helixform,” ASME J. Mech. Des., 103, pp. 83–113.

2. Litvin, F. L., and Zhang, Y., 1991, “Local Synthesis and Tooth Contact Analysis of Face-milled Spiral Bevel Gear,” NASA Technical Report 4342 (AVSCOM 90-C-028).

3. Litvin, F. L., Wang, A. G., and Handschuh, R. F., 1998, “Computerized Generation and Simulation of Meshing and Contact of Spiral Bevel Gears with Improved Geometry,” Comput. Methods Appl. Mech. Eng., 158, pp. 35–64.

4. Gosselin, C., Cloutier, L., and Sankar, S., 1989, “Effects of the Machine Settings on the Transmission Error of Spiral Bevel Gears Cut by the Gleason Method,” Proc. International Power Transmission and Gearing Conference: New Technologies for Power Transmissions of the 90’s, Chicago, Illinois, pp. 705–712.

5. Fong, Z. H., and Tsay, C. B., 1992, “Kinematical Optimization of Spiral Bevel Gears,” ASME J. Mech. Des., 114, pp. 498–506.

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