The titled problem is studied numerically by finite element calculation and analytically by three-mode eigenfunction expansion. It is found that divergence instability of the coupled system is induced only when two times the number of nodal diameters 2n is equal to a multiple of the number of stationary springs N, but n itself is not a multiple of N.

1.
Mote
C. D.
,
1977
, “
Moving Load Stability of a Circular Plate on a Floating Central Collar
,”
Journal of the Acoustical Society of America
, Vol.
61
, pp.
439
447
.
2.
Ono
K.
,
Chen
J.-S.
, and
Bogy
D. B.
,
1991
, “
Stability Analysis for the Head-Disk Interface in a Flexible Disk Drive
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
58
, pp.
1005
1014
.
3.
Price, K. B., 1987, “Analysis of the Dynamics of Guided Rotating Free Center Plates,” Ph.D. dissertation, University of California, Berkeley, CA.
4.
Wong, C.-C., 1994, “Vibration and Stability of a Spinning Disk in Contact With Evenly Spaced Stationary Load Systems,” Master Thesis, Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan.
This content is only available via PDF.
You do not currently have access to this content.