Application of the Riccati Method to Rotor Dynamic Analysis of Long Shafts on a Flexible Foundation

[+] Author and Article Information
J. W. Lund

Department of Machine Elements, The Technical University of Denmark, 2800 Lyngby, Denmark

Z. Wang

Tsinghua University, Beijing, People’s Republic of China

J. Vib., Acoust., Stress, and Reliab 108(2), 177-181 (Apr 01, 1986) (5 pages) doi:10.1115/1.3269319 History: Received June 11, 1985; Online November 23, 2009


A method is described for calculating critical speeds, unbalance response and damped natural frequencies of long rotors on a flexible foundation. The shaft and the foundation are calculated separately and coupled at the bearings through impedance matching. Included in the analysis is also a method for representing the shaft response by an expansion in its free-free modes.

Copyright © 1986 by ASME
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