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Vibration Analysis of Rotating Disk-Spindle System Using Finite Element Method and Substructure Synthesis

유한 요소법과 부분 구조 합성법을 이용한 회전 디스크-스핀들 계의 진동 해석

  • Published : 2000.09.01

Abstract

Vibration of a rotating disk-spindle system is analyzed by using Hamilton's principle, FEM and substructure synthesis. A rotating disk undergoes the rigid body motion and the elastic deformation. It s equation of motion is derived by Kirchhoff plate theory and von Karman nonlinear strain. A rotating shaft is described by Rayleigh beam theory considering the axial rigid body motion. The stationay shaft supporting the rotating disk-spindle-bearing system is modeled by Euler beam theory, and the stiffness of ball bearing is determined by A.B.Jones' theory. FEM is used to solve the derived governing equations, and substructure synthesis is introduced to assemble each structure of the rotating disk-spindle system. The developed theory is applied to the spindle system of a 35' computer hard disk drive with 3 disks to verify the simulation results. The simulation results agree very well with the experimental ones. The proposed theory may be effectively expanded to the complex structure of a disk-spindle system.

Keywords

References

  1. Kirkhope, J. and Wilson, G. J., 1976, 'Vibration and Stress Analysis of Thin Rotating Discs Using Annular Finite Elements,' Journal of Sound and Vibration, Vol. 44, pp. 461-474 https://doi.org/10.1016/0022-460X(76)90088-2
  2. Nelson, H. D.and McVaugh, J. M., May 1976, 'The Dynamics of Rotor-Bearing Systems Using Finite Elements,' Journal of Engineering for Industry, pp. 593-600
  3. Dopkin, J. A. and Shoup,T. E., Nov, 1974, 'Rotor Resonant Speed Reduction Caused by Flexibility of Disks,' Journal of Engineering for Industry, pp. 1328-1333
  4. Chivens, D. R. and Nelson, H. D., Aug., 1975, 'The Natural Frequencies and Critical Speeds of A Rotating, Flexible Shaft-Disk System,' Journal of Engineering for Industry, pp. 881-886
  5. Wu, F. and Flowers, G. T., 1992, 'A Transfer Matrix Technique for Evaluating the Natural Frequencies and Critical Speeds of a Rotor With Multiple Flexible Disks,' Journal of Vibration and Acoustics, Vol. 114, pp. 242-248
  6. Flowers, G. T. and Ryan, S. G., 1993, 'Development of a Set of Equations for Incorporation Disk Flexibility Effect in Rotordynamic Analysis,' Journal of Engineering for Gas Turbines and Power, Vol. 115, pp. 227-233
  7. Shen, I. Y. and Ku, C. -P. R., 1997, 'A Nonclassical Vibration Analysis of a Multiple Rotating Disk and Spindle Assembly,' Journal of Applied Mechanics, Vol. 64, pp. 165-174 https://doi.org/10.1115/1.2787269
  8. Chun, S. -B. and Lee, C. -W., 1996, 'Vibration Analysis of Shaft-Bladed Disk System by Using Substructure Synthesis and Assumed Modes Method,' Journal of Sound and Vibration, Vol. 189, No. 5, pp. 587-608 https://doi.org/10.1006/jsvi.1996.0038
  9. Lee, C. -W. and Chun, S. -B., 1998, Vibration Analysis of Rotor With Multiple Flexible Disks Using Assumed Model Method,' Journal of Vibration and Acoustics, Vol. 120, pp. 87-94
  10. Hale, A. L. and Meirovitch, L., 1980, 'A General Substructure Synthesis Method For the Dynamic Simulation of Complex Structure,' Journal of Sound and Vibration, Vol. 69, No. 2, pp. 309-326 https://doi.org/10.1016/0022-460X(80)90615-X
  11. Meirovitch, L., 1980, 'Computational Methods in Structural Dynamics,' Alphen aan den Rijn, The Netherlands; Sijthoff and Noordhoff International Publishers
  12. Olson, M. D. and Linderg, G. M., 1970, 'Annular and Circular Sector Finite Elements for Plate Bending,' Int. J. Mech. Sci., Pergamon Press, Vol. 12, pp. 17-33 https://doi.org/10.1016/0020-7403(70)90003-2
  13. Jang, G. H., Jung, D. K., Park, N. Y. and Park, J. S., 1996, 'Analysis of the Dynamic Characteristics of Ball Bearing in 3.5 inch HDD Spindle Motor,' Proceedings of Incremental Motion Control and Devices, pp. 167-174
  14. Lamb, H. and Southwell, R. V., 1921, 'The Vibration of a Spinning Disk,' Proceedings of the Royal Society, Vol. 99, pp. 272-280
  15. Lee, S. J., Chung, J. and Lee, J. M., 1998, 'Free Vibrations of a Flexible Spinning Disk with Axial Translation and Rigid-Body Tilting,' JSME International Journal, Series C, Vol. 41, No. 3, pp. 329-337
  16. Lee, C. -W., Jia, H. S., Kim, C. -S. and Chun, S. -B., 1997, 'Tuning of Simulated Natural Frequencies for a Flexible Shaft-Multiple Flexible Disk System,' Journal of Sound and Vibration, Vol. 207, No. 4, pp. 435-451 https://doi.org/10.1006/jsvi.1997.1199