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Vibration Characteristics of Rotating Disks with Aerodynamic Effect (I) - Theoretical Analysis -

공기 유동 효과를 고려한 회전 디스크의 진동 특성 (I) - 이론적 해석 -

  • 이승엽 (서강대학교 기계공학과) ;
  • 임효석 (서강대학교 대학원 기계공학과)
  • Published : 2008.02.05

Abstract

The aerodynamically excited vibration and natural frequency of rotating disks are analytically studied in this paper. The theoretical analysis uses a fluid-structure model where the aerodynamic effects are represented in terms of elastic, lift and drag forces. The explicit expressions on natural frequencies of the air coupled disk are obtained as functions of the aerodynamic coefficients. for the three cases where the disk rotates in three different cases (in vacuum, in open air without enclosure, and close to rigid wall). The theoretical results give that the natural frequencies of rotating disks in air are smaller than those in vacuum, because the effect of the added fluid mass decreases the frequencies. This paper also proposes an analytical method to predict the flutter speed of a rotating disk.

Keywords

References

  1. Pelech, I. and Shapiro, A. H., 1964, 'Flexible Disk Rotating on a Gas Film Next to a Wall,' Journal of Applied Mechanics, Vol. 31, pp. 577~584 https://doi.org/10.1115/1.3629717
  2. Benson, B. C. and Bogy, D. B., 1978, 'Deflection of a Very Flexible Spinning Disk due to a Stationary Transverse Load,' Journal of Applied Mechanics, Vol. 45, pp. 636~642 https://doi.org/10.1115/1.3424374
  3. Wu, R. Y. and Adams, G. G., 1994, 'The Effects of Baseplate Warpage and Skew on the Configuration of a Spinning Flexible Disk,' Journal of Tribology, Vol. 116, pp. 514~520 https://doi.org/10.1115/1.2928874
  4. Yasuda, K., Torii, T. and Shimizu, T., 1992, 'Self-excited Oscillations of a Circular Disk Rotating in Air,' JSME International Journal, Vol. 35, pp. 347~352
  5. Chonan, S., Jiang, Z. W. and Shyu, Y. J., 1992, 'Stability Analysis of a 2-inch Floppy Disk Drive System and the Optimum Design of the Disk Stabilizer,' Journal of Vibration and Acoustics, Vol. 114, pp. 283~286 https://doi.org/10.1115/1.2930259
  6. Renshaw, A. A., 1998, 'Critical Speed for Floppy Disks,' Journal of Applied Mechanics, Vol. 65, pp. 116~120 https://doi.org/10.1115/1.2789013
  7. Lee, S.-Y., Yoon, D.-W. and Park, K., 2003, 'Aerodynamic Effect on Natural Frequency and Flutter Instability in Rotating Optical Disks,' Microsystem Technologies, Vol. 9, No. 5, pp. 369~374 https://doi.org/10.1007/s00542-002-0280-9
  8. Lee, S.-Y., Kim, J. and Kim, S., 2002, 'Critical and Flutter Speed of Optical Disks,' Microsystem Technologies, Vol. 8, No. 2, pp. 206~211 https://doi.org/10.1007/s00542-001-0147-5
  9. Lamb, H. and Southwell, R. V., 1921, 'The Vibration of a Spinning Disk,' Proceeding of the Royal Society, Vol. 99, pp. 272~280 https://doi.org/10.1098/rspa.1921.0041
  10. Lim, H. and Lee, S.-Y., 2007, 'Vibration Characteristics of Rotating Disks with Aerodynamic Effect; II. Experimental Verifications,' Trans. of the KSME (A) (in press) https://doi.org/10.3795/KSME-A.2008.32.2.135
  11. David, A. M. J., 1989, 'Stokes Drag on a Disk Sedimenting toward a Plane or with Other Disks; Additional Effects of a Side Wall or Free Surface,' Phys. Fluids, Vol. 2, pp. 301~312 https://doi.org/10.1063/1.857780
  12. Mellor, G. L., Chapple, P. J. & Stokes, K., 1968, 'On the Flow between a Rotating and a Stationary disk,' J. Fluid Mech., Vol. 31, part 1, pp. 95~112 https://doi.org/10.1017/S0022112068000054
  13. Kim, J. and Lee, S.-Y., 2000, 'Vibration Characteristics of a New Optical Disk with Initial Stress,' Trans. of the KSME (A), Vol. 24, No. 10, pp. 2513~2519