Dynamics of Synchronous-Precessing Turborotors With Particular Reference to Balancing. Part 1—Theoretical Foundations

[+] Author and Article Information
T. M. Tang

International Business Machines Corporation, San Jose, Calif.

P. R. Trumpler

University of Pennsylvania, Philadelphia, Pa.

J. Appl. Mech 31(1), 115-122 (Mar 01, 1964) (8 pages) doi:10.1115/1.3629531 History: Received July 08, 1963; Online September 15, 2011


The commonly employed “indifferent equilibrium” postulate is rejected as internally inconsistent, and the dynamics problem is solved by using a system of discrete masses with fixed unbalances arbitrary in magnitude and direction. A method is presented for the calculation of bearing reaction as a function of machine speed including the effect of turbulent-flow damping at disk masses, so-called gyroscopic moments, and bearing oil-film and support flexibility. The calculation is particularly adapted to a digital-computer program employing successive multiplication of 5 × 5 matrices with complex elements.

Copyright © 1964 by ASME
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