Journal Asymmetric Heating—Part II: Alteration of Rotor Dynamic Properties

[+] Author and Article Information
Björn Larsson

Machine Design, Linköping University, S-581 83 Linköping, Sweden

J. Tribol 121(1), 164-168 (Jan 01, 1999) (5 pages) doi:10.1115/1.2833798 History: Received December 09, 1997; Revised April 27, 1998; Online January 24, 2008


An approximation of heat conduction dynamics in a rotating shaft is presented for use in the rotor dynamic analysis of multiple hydrodynamic bearings to predict alteration of vibrations due to shaft bows. The interactions form a closed-loop system. Initial unbalance gives a vibration, which results in an asymmetrical temperature distribution on the surface of the journal. Heat conduction in the shaft results in a bow. The new bow changes the unbalance and thus the vibration of the rotor. The loop is thus closed. The approximation of heat conduction is in the form of an ordinary differential equation. The coefficients in this equation result from a curve-fitting to the solution of a nonstationary partial differential equation. The result opens the way for stability analysis, transient analysis, and evaluation of actual mass unbalance response (including fully developed bows).

Copyright © 1999 by The American Society of Mechanical Engineers
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