Dynamic Analysis of Geared Rotors by Finite Elements

[+] Author and Article Information
A. Kahraman, H. Nevzat Ozguven, D. R. Houser

Gear Dynamics and Gear Noise Research Laboratory, Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210

J. J. Zakrajsek

National Aeronautics and Space Administration, Lewis Research Center, Cleveland, OH 44135

J. Mech. Des 114(3), 507-514 (Sep 01, 1992) (8 pages) doi:10.1115/1.2926579 History: Received April 01, 1989; Online June 02, 2008


A finite element model of a geared rotor system on flexible bearings has been developed. The model includes the rotary inertia of shaft elements, the axial loading on shafts, flexibility and damping of bearings, material damping of shafts and the stiffness and the damping of gear mesh. The coupling between the torsional and transverse vibrations of gears were considered in the model. A constant mesh stiffness was assumed. The analysis procedure can be used for forced vibration analysis of geared rotors by calculating the critical speeds and determining the response of any point on the shafts to mass unbalances, geometric eccentricities of gears, and displacement transmission error excitation at the mesh point. The dynamic mesh forces due to these excitations can also be calculated. The model has been applied to several systems for the demonstration of its accuracy and for studying the effect of bearing compliances on system dynamics.

Copyright © 1992 by The American Society of Mechanical Engineers
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