Stability Characteristics of a Rigid Rotor Supported by a Gas-Lubricated Spiral-Groove Conical Bearing

[+] Author and Article Information
Coda H. Pan1

 Global Technology, Millbury, MA 01525-3361CPan208663@aol.com

Daejong Kim

Mechanical Engineering, Texas A&M University, College Station, TX 77843-3123djkim@tamu.edu


Corresponding author.

J. Tribol 129(2), 375-383 (Jan 09, 2007) (9 pages) doi:10.1115/1.2647443 History: Received May 04, 2006; Revised January 09, 2007

Five-degree-of-freedom (5-DOF) characterization of the stability of a gas-lubricated conical bearing of the spiral-groove design is presented for bearing numbers up to 500. Critical points in stability analysis are identified in impedance contour plots separately for axial, cylindrical, and conical modes. The stability thresholds with respect to each mode are graphed as functions of the bearing number. For axial and cylindrical modes, the threshold parameter is the rotor mass. For the conical mode, the threshold parameter is an equivalent mass that is dependent on both transverse and polar radii of gyration of the rotor. An application example illustrates a rational procedure to specify nominal bearing clearance and its allowable tolerance range.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 2

View of steady circular whirl in an axial plane

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Figure 10

Mcritical of the cylindrical mode: (a) stationary grooves and (b) rotating grooves

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Figure 11

Ncritical for disklike rotor: (a) stationary grooves and (b) rotating grooves

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Figure 12

Ncritical for tubelike rotor (both stationary and rotating grooves)

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Figure 13

mcriticalg and W versus C (Λ=20 at Cnominal=3.637μm)

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Figure 1

Symmetrical conical bearing (shown as with stationary grooves)

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Figure 3

Schematic of perturbed rotor motion

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Figure 4

Static impedances

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Figure 8

Critical frequency and critical mass of the axial mode

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Figure 9

Critical frequencies: (a) cylindrical mode with stationary grooves, (b) cylindrical mode with rotating grooves, (c) conical mode with stationary grooves, and (d) conical mode with rotating grooves

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Figure 5

Half-frequency reflection of cylindrical impedance spectra at Λ=20

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Figure 6

Axial impedance contours

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Figure 7

Cylindrical impedance contours



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