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http://dx.doi.org/10.5050/KSNVN.2006.16.2.169

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

Koo, Kyo-Nam (울산대학교 항공우주공학과)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.16, no.2, 2006 , pp. 169-175 More about this Journal
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
Critical Speed; Polar Orthotropic; Rotating Disk; Vibration;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 Pandalai, K. A. and Patel, S. A., 1965, 'Natural Frequencies of Orthotropic Circular Plates,' AIAA Journal, Vol. 3, No. 4, pp. 780-181   DOI
2 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   DOI
3 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   DOI   ScienceOn
4 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
5 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   DOI   ScienceOn
6 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)   과학기술학회마을   DOI   ScienceOn
7 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   DOI   ScienceOn
8 Lee, S. -Y., Kim, J. -Y. and Lim, S., 2002, 'Critical and Flutter Speeds of Optical Disks,' Microsystem Technologies, Vol. 8, pp. 206-211   DOI
9 Barash, S. and Chen, Y., 1972, 'On the Vibration of a Rotating Disk,' Journal of Applied Mechanics, Trans. ASME, Vol. 39, pp. 1143-1144   DOI
10 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   DOI
11 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   DOI   ScienceOn
12 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
13 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
14 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
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 II: Application to a Specially Orthotropic Disk,' Journal of Sound and Vibration, Vol.236, No. 3, pp.457-485   DOI   ScienceOn
16 Lamb, H. and Southwell, R. V., 1921, 'The Vibration of a Spinning Disk,' Proceedings of the Royal Society, Vol. 99, pp. 272-280   DOI
17 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   DOI
18 Lee, S. Y. and Lim, H., 2003, 'Vibration Characteristics of CD and DVD Disks,' Roceedings of the KSNVE Spring Annual Conference, pp. 998-1003