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.
Issue Section:
Brief Notes
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.
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.
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