Multiple Equilibria of a Hydrodynamically Coupled Flexible Disk Rotating Inside a Thin Housing

[+] Author and Article Information
G. M. Warner, A. A. Renshaw

Department of Mechanical Engineering, Columbia University, M/C 4703, New York, NY 10027

J. Appl. Mech 70(1), 142-147 (Jan 23, 2003) (6 pages) doi:10.1115/1.1526121 History: Received December 16, 2001; Revised July 26, 2002; Online January 23, 2003
Copyright © 2003 by ASME
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Grahic Jump Location
Displacement versus rotation speed for two disks. (a): A typical Zip disk response without the jump phenomenon; (b): the jump phenomenon at approximately 4500 rpm.
Grahic Jump Location
Schematic of the rotating disk enclosed in a housing
Grahic Jump Location
Contour plot of the number of equilibria as functions of qL and qU.κ=0.291;ν=0.3;Γ=0.114;cL=cU=0.5. The number of equilibria in each region is superimposed on the plot except for the lower left quadrant.
Grahic Jump Location
w(1) versus w(κ) for different qL assuming qU=−qL. Roots indicate equilibrium solutions. κ=0.291;ν=0.3;Γ=0.114;cL=cU=0.5.



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