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RESEARCH PAPERS: Rotor Dynamics Papers

Vibrations of an Elastically Mounted Spinning Rotor Partially Filled With Liquid

[+] Author and Article Information
G. Lichtenberg

Institut fuer Maschinenelemente und Foerdertechnik, Technische Universitaet Braunschweig, Langer Kamp 19 B, D-3300 Braunschweig

J. Mech. Des 104(2), 389-396 (Apr 01, 1982) (8 pages) doi:10.1115/1.3256356 History: Received June 04, 1981; Online November 17, 2009

Abstract

The stability of a rotor with a cylindrical cavity, spinning with constant angular velocity and partially filled with an inviscid, incompressible fluid is studied. The rotor is elastically supported on a vertically mounted massless shaft in overhung position. A set of coupled linearized spatial equations of motion of the rotor and field equations, as well as boundary conditions of the liquid, is established and solved, leading to a characteristic equation. First numerical results predict a wide range of rotor speeds, where the system performs unstable motions caused by a two-dimensional surface wave of the liquid. The stability boundaries are calculated for a flat rotor in dependence on the mass of the contained liquid and agree extremely well with experimental data.

Copyright © 1982 by ASME
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