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Vibration Analysis and Critical Speeds of Rotating Polar Orthotropic Disks, Part I : Formulation and Solution Method

극직교 이방성 회전원판의 진동해석 및 임계속도 I : 정식화 및 해법

  • 구교남 (울산대학교 항공우주공학과)
  • Published : 2006.02.01

Abstract

Rotating annular disks are widely used in data storage devices such as CDs, DVDs(digital versatile disks), and HDs(hard disks). Higher data transfer rate in data storage disks could not be achieved by polycarbonate disks in the present market. The problem can be solved by applying the fiber-reinforce composite materials to the disks. In this paper, an application of composite materials to rotating disks is proposed to increase the critical speed. Dynamic equation is formulated in order to calculate the natural frequency and critical speed for rotating composite disks by the Galerkin method. The orthogonal functions are used in series solution. A companion paper(Part II) presents and discusses the numerical results of vibration analysis and critical speed for rotating polar orthotropic disk using the formulation and solution method given in this paper (Part I).

Keywords

References

  1. Lee, S. -Y., Kim, J. -Y. and Lim, S., 2002, 'Critical and Flutter Speeds of Optical Disks,' Microsystem Technologies, Vol. 8, pp. 206-211 https://doi.org/10.1007/s00542-001-0147-5
  2. Lamb, H. and Southwell, R. V., 1921, 'The Vibration of a Spinning Disk,' Proceedings of the Royal Society, Vol. 99, pp. 272-280 https://doi.org/10.1098/rspa.1921.0041
  3. Barash, S. and Chen, Y., 1972, 'On the Vibration of a Rotating Disk,' Journal of Applied Mechanics, Trans. ASME, Vol. 39, pp. 1143-1144 https://doi.org/10.1115/1.3422847
  4. Tobias, S. A. and Arnold, R. N.. 1957, 'The Influence of Dynamic Imperfections on the Vibrations of Rotating Disks,' Proceedings of the Institute of Mechanical Engineers, Vol. 171, pp. 669-690
  5. Mote, C. D. Jr., 1967, 'Natural Frequencies in Annuli with Induced Thermal Membrane Stresses,' Journal of Engineering for Industry, Trans. ASME, Vol.89, pp.611-618 https://doi.org/10.1115/1.3610119
  6. Iwan, W. D. and Moeller, T. D., 1976, 'The Stability of a Spinning Elastic Disk with a Transverse Load System,' Journal of Applied Mechanics, Trans. ASME, Vol. 43, pp. 485-490 https://doi.org/10.1115/1.3423896
  7. 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, No. 4, pp.461-474 https://doi.org/10.1016/0022-460X(76)90088-2
  8. Lee, S. Y., 1999, 'On Critical Speed of a Roataing Disk in Information Storage Devices,' Proceedings of the KSNVE Spring Annual Conference, pp. 185-191
  9. Lee, S. Y. and Yun, D. H., 2001, 'Critical and Flutter Speeeds of Rotating Disks in Information Storage Disks,' Proceedings of the KSNVE Autumn Annual Conference, pp. 484-489
  10. Lee, S. Y. and Lim, H., 2003, 'Vibration Characteristics of CD and DVD Disks,' Roceedings of the KSNVE Spring Annual Conference, pp. 998-1003
  11. Minkarah, I. A. and Hopemann, W. H., II, 1964, 'Flexural Vibrations of Cylindrically Aeolotropic Circular Plates,' Journal of Acoustic Society of America, Vol.12, No. 3, pp. 470-475
  12. Pandalai, K. A. and Patel, S. A., 1965, 'Natural Frequencies of Orthotropic Circular Plates,' AIAA Journal, Vol. 3, No. 4, pp. 780-181 https://doi.org/10.2514/3.2985
  13. Ginesu, F., Picasso, B. and Priolo, P., 1979. 'Vibration Analysis of Polar Orthotopic Annular Discs,' Journal of Sound and Vibration, Vol. 65, No. 1, pp. 97-105 https://doi.org/10.1016/0022-460X(79)90531-5
  14. Ghosh, N. C., 1985, 'Thermal Effect on the Transverse Vibration of High Speed Rotating Anisotropic Disk,' Journal of Applied Mechanics, Vol. 52, pp. 543-548 https://doi.org/10.1115/1.3169098
  15. Son, H., Kikuchi, N., Ulsoy A. G. and Yigit A. S., 2000, 'Dynamics of Prestressed Rotating Anisotropic Plates Subject to Transverse Loads and Heat Sources, Part I: Modelling and Solution Method,' Journal of Sound and Vibration, Vol. 236, No. 3, pp. 457-485 https://doi.org/10.1006/jsvi.2000.3000
  16. Son, H., Kikuchi, N., Ulsoy A. G. and Yigit A. S., 2000, 'Dynamics of Prestressed Rotating Anisotropic Plates Subject to Transverse Loads and Heat Sources, Part II: Application to a Specially Orthotropic Disk,' Journal of Sound and Vibration, Vol.236, No. 3, pp.457-485 https://doi.org/10.1006/jsvi.2000.3000
  17. Kim, C. S. and Dickinson, S. M., 1989, 'On the Lateral Vibration of Thin Annular and Circular Composite Plates Subject to Certain Complicating Effects,' Journal of Sound and Vibration, Vol. 130, No. 3, pp. 363-377 https://doi.org/10.1016/0022-460X(89)90063-1
  18. Koo, K. N., 2006, 'Vibration Analysis and Critical Speeds of Rotating Polar Orthotropic Disks, Part II : Analysis Results,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 16, (to be Published) https://doi.org/10.5050/KSNVN.2006.16.3.247