An Analytical Study of the Effect of the Contact Ratio on the Spur Gear Dynamic Response

Author:

Andersson Anette1

Affiliation:

1. Department of Machine Elements, Lund Institute of Technology, Box 118, SE-221 00 Lund, Sweden

Abstract

A model was used, where the total gear mesh stiffness was approximated by two constant stiffness levels, in order to analyze the influence of the contact ratio on the dynamic response of spur gears. Due to the stiffness variation there is parametric excitation of the transmission error, which generally causes tooth separation at certain critical rotational speeds. The present paper discloses a method to analytically calculate which contact ratio to use in order to avoid tooth separation near a specific critical rotational speed. [S1050-0472(00)02604-0]

Publisher

ASME International

Subject

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

Reference13 articles.

1. Den Hartog, J. P., 1956, Mechanical Vibrations, 4th ed., McGraw-Hill, New York, pp. 343–351.

2. Bollinger, J. G., and Harker, R. J., 1967, “Instability Potential of High Speed Gearing,” J. Ind. Math. Soc., 17, pp. 39–55.

3. Benton, M., and Seireg, A., 1978, “Simulation of Resonances and Instability Conditions in Pinion-Gear Systems,” ASME J. Mech. Des., 100, pp. 26–32.

4. Matsuhisa, H., Miyaji, Y., and Sato, S., 1982, “Parametrically Excited Vibration with External Constant Load and Damping,” Memoirs of the Faculty of Engineering, Kyoto University, 44, pp. 158–167.

5. Tordion, G. V., and Gauvin, R., 1977, “Dynamic Stability of a Two-Stage Gear Train under the Influence of Variable Meshing Stiffnesses,” ASME J. Eng. Ind., 99, pp. 785–791.

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