Vibrations of a Rotating Disk Under Perpendicular Spacefixed Forces

Year 2019, Volume: 32 Issue: 1, 273 - 284, 01.03.2019

Mertol Tufekci , Omer Ekim Genel Hilal Koc Olcay Oldac Ekrem Tufekci

Abstract

In
this study, forced vibration of a rotating disk is investigated. The disk is
clamped at the inner and free at the outer circumferences. A time varying excitation
force is applied to a spacefixed point on the disk surface perpendicularly. The
presence of multiple excitation forces is also considered in the paper. These
forces can be applied to any spacefixed point on the disk surface. The disk is
modelled as a thin plate and the Galerkin method is used to analyze the forced
vibration characteristics of the rotating disk. Power spectral density diagrams
of the forced vibrations with both one and multiple excitation forces are
plotted.

Keywords

Galerkin method, Rotating disk, Spacefixed load, Galerkin method, Forced vibration

References

• [13] Weisensel, G.N. and Schlack, A.L., "Response of Annular Plates to Circumferentially and Radially Moving Loads", Journal of Applied Mechanics, 60(3): 649-661, (1993).
• [20] Adams, G.G., "Critical Speeds for a Flexible Spinning Disk, International Journal of Mechanical Science, 29(8): 525-531, (1987).
• [14] Benson, R.C. and Bogy, D.B., "Deflection of a very Flexible Spinning Disk due to a Stationary Transverse Load", Journal of Applied Mechanics, 45(3): 636-642, (1978).
• [15] Chen, J.S. and Hsu, C.M., "On the Transient Response of a Spinning Disk under a Space Fixed Load", Journal of Applied Mechanics, 64(4): 1017-1019, (1997).
• [16] Huang, S.C. and Hsu, B.S., "Vibrations of a Spinning Annular Plate with Multi-Circular Line Guides", Journal of Sound and Vibration, 164(3): 535-547, (1993).
• [17] Hutton, S.G., Chonan, S. and Lehmann, B.F., "Dynamic Response of a Guided Circular Saw", Journal of Sound and Vibration, 112(3): 527-539, (1987).
• [18] Chen, J.S., "Vibration and Sensitivity Analysis of a Spinning Disk under Tangential Edge Loads", Journal of Sound and Vibration, 215(1): 1-15, (1998).
• REFERENCES[1] Lamb, H. and Southwell, R.V., "The vibrations of a spinning disk," Proceedings of the Royal Society, Series A, 99: 272-280, (1921).
• [3] Kirkhope, J. and Wilson, G.J., "Vibration and stress analysis of thin rotating discs using annular finite elements," Journal of Sound and Vibration, 44(4): 461-474, (1976).
• [21] Ona, K., Chen, J.S. and Boggy, D.B., "Stability Analysis for The Head-Disk Interface in a Flexible Disk Drive", Journal of Applied Mechanics, 58(4): 1005-1014, (1991).
• [4] Cole, K.A. and Benson, R.C., "A Fast Eigenfunction Approach For Computing Spinning Disk Deflections", Journal of Applied Mechanics, 55(2): 453-457, (1986).
• [22] Jiang, Z.W., Chonan, S. and Abe, H., "Dynamic Response of a Read-Write Head Floppy Disk System Subjected to Axial Excitation", Journal of Vibration and Acoustics, 112(1): 53-58, (1990).
• [23] Ono, K., Maeno, T., Ebihara, T., "Study on Mechanical Interface between Head and Media in Flexible Disk Drive", Bulletin of JSME, 29(255): 3109-3115, (1986).
• [24] Huang, S.C. and Chiou, W.J., "Modeling and Vibration Analysis of Spinning-Disk and Moving-Head Assembly in Computer Storage Systems", Journal of Vibration and Acoustics, 119(2): 185-191, (1997).
• [25] Xu, L.M. and Guo, N., "Modal testing and finite element modelling of subsystem in hard disk drive," Mechanical Systems and Signal Processing, 17(4): 747-764, (2003).
• [2] Southwell, R.V., "On the free transverse vibrations of a uniform circular disc clamped at its center, and on the effects of rotation," Proceeding of the Royal Society, Series A, 101: 133, (1922).
• [10] D'Angelo, C. and Mote, C.D., "Natural Frequencies of a Thin Disk Clamped by Thick Collars with Friction at the Contacting Surfaces Spinning at High Rotation Speed", Journal of Sound and Vibration, 168(1): 1-14, (1993).
• [12] Honda, Y., Matsuhisa, H. and Sato, S., "Modal Response of a Disk to a Moving Concentrated Harmonic Force", Journal of Sound and Vibration, 102(4): 457-472, (1985).
• [5] Guven, U., "On Transverse Vibrations of a Rotating Disk Uniform Strength", Journal of Applied Mechanics, 59(1): 234-235, (1992).
• [6] Lee, C.W. and Kim, M.E., "Separation and Identification of Travelling Wave Modes in Rotating Disk via Directional Spectral Analysis", Journal of Sound and Vibration, 187(5): 851-864, (1995).
• [7] Pei, Y.C. and Tan, Q.C., "Modal Interactions in a Rotating Flexible Disc", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 223(4): 851-857, (2009).
• [8] Ramaiah, G.K., "Natural frequencies of spinning annular plates", Journal of Sound and Vibration, 74(2): 303-310, (1981).
• [9] Tseng, C.W., Shen, J.Y. and Shen, I.Y., "Vibration of Rotating-Shaft HDD Spindle Motors with Flexible Stationary Parts", IEEE Transactions on Magnetics, 39(2 I): 794-799, (2003).
• [11] Tufekci, E. and Oldac, O., "Free and Forced Vibrations of a Rotating Elastic Disk", The First International Structural Conference on Stability and Dynamics, Taipei Taiwan, (2000).
• [19] Iwan, W.D. and Moeller, T.L., "The Stability of a Spinning Elastic Disk with a Transverse Load System", Journal of Applied Mechanics, 43(3): 485-490, (1976).