RESEARCH PAPERS: Power Transmission and Gearing Papers

On the Dynamic Gear Tooth Loading of Planetary Gearing as Affected by Bearing Clearances in High-Speed Machinery

[+] Author and Article Information
B. M. Bahgat

Mechanical Design Department, Cairo University, Egypt

M. O. M. Osman

Department of Mechanical Engineering, Concordia University, Montreal, PQ, Canada

R. V. Dukkipati

Division of Mechanical Engineering, National Research Council of Canada, Ottawa, Ontario, Canada

J. Mech., Trans., and Automation 107(3), 430-436 (Sep 01, 1985) (7 pages) doi:10.1115/1.3260740 History: Received July 16, 1984; Online November 19, 2009


The paper studies the effect of bearing clearances in the dynamic analysis of planetary gear mechanisms in high-speed machinery. For this purpose, an analytical model is developed based on the interdependence between kinematics and kinetic relationships that must be satisfied when contact is maintained between the journal and its bearing. The contact mode is formulated such that the bearing eccentricity vector must align itself with bearing normal force at the point of contact. The analysis mainly relies on determining the direction of the bearing eccentricity vector defined as the clearance angles βi at the bearing revolutes for each contact mode of the gear teeth. The governing equations of the clearance angles are developed using the geometrical constraints of the contact point location and the velocity ratio. The clearance angles and their derivatives are used to systematically evaluate kinematic and dynamic quantities. A rigid planetary spur gears with two revolute clearances is analyzed to illustrate the procedure.

Copyright © 1985 by ASME
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