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RESEARCH PAPERS: Power Transmissions and Gearing Papers

On Dynamic Tooth Load and Stability of a Spur-Gear System Using the State-Space Approach

[+] Author and Article Information
A. S. Kumar, T. S. Sankar, M. O. M. Osman

Department of Mechanical Engineering, Concordia University, Montreal, Canada H3G 1M8

J. Mech., Trans., and Automation 107(1), 54-60 (Mar 01, 1985) (7 pages) doi:10.1115/1.3258695 History: Received July 16, 1984; Online November 19, 2009

Abstract

In this study, a new approach using the state-space method is presented for the dynamic load analysis of spur gear systems. This approach gives the dynamic load on gear tooth in mesh as well as information on the stability of the gear system. Also a procedure is given for the selection of proper initial conditions that enable the steady-state condition to be reached faster, conditions that result in considerable savings in computational time. The variations in the dynamic load with respect to changes in contact position, operating speed, backlash, damping, and stiffness are also investigated. In addition, the stability of the gear system is studied, using the Floquet theory and the well-known stability conditions of difference systems.

Copyright © 1985 by ASME
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