Browse > Article
http://dx.doi.org/10.5050/KSNVN.2009.19.1.076

Vibrations and Stability of Flexible Corotating Disks in an Enclosure  

Kang, Nam-Cheol (경북대학교 기계공학부)
Publication Information
Transactions of the Korean Society for Noise and Vibration Engineering / v.19, no.1, 2009 , pp. 76-84 More about this Journal
Abstract
The vibration and stability of thin, flexible corotating disks in an enclosed compressible fluid is investigated analytically and compared with the results of a single rotating disk. The discretized dynamical system of the corotating disks is derived in the compact form of a classical gyroscopic system similar with a single disk. For the undamped system, coupled structure-acoustic traveling waves destabilize through mode coalescence leading to flutter instability. However, it is found that the flutter regions of the corotating disks are wider than those of a single disk. A detailed investigation of the effects of dissipation arising from acoustic or disk damping is also performed. Finally, in the presence of both acoustic and disk dampings, the instability regions are found and compared with those of a single disk. Although this study does not allow a radial clearance between the disk and the enclosure, the computational frame work of the problem can be expanded to the system having the radial clearance in an enclosure.
Keywords
Rotating Disk; Corotating Disks; Flutter; Acoustic-structure Interaction; Mode Coalescence;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Merkin, D. R., 1997, Introduction to the Theory of Stability, Springer-Verlag New York, Inc., Chap. 6
2 D'Angelo, C. and Mote, Jr., C. D., 1993, “Aerodynamically Excited Vibration and Flutter of a Thin Disk Rotating at Supercritical Speed,” Journal of Sound and Vibration, Vol. 168, No. 1, pp. 15-30   DOI   ScienceOn
3 D'Angelo, C. and Mote, Jr. C. D., 1993, “Natural Frequencies of a Thin Disk, Clamped by Thick Collars with Friction at the Contacting Surfaces, Spinning at High Rotating Speed,” Journal of Sound and Vibration, Vol. 168, No. 1, pp. 1-14   DOI   ScienceOn
4 Renshaw, A. A., D’Angelo, C. and Mote, Jr. C. D., 1994, “Aeroelastically Excited Vibration of a Rotating Disk,” Journal of Sound and Vibration, Vol. 177, No. 5, pp. 577-590   DOI   ScienceOn
5 Hansen, M. H., Raman, A. and Mote, Jr. C. D., 2001, “Estimation of Nonconservative Aerodynamic Pressure Leading to Flutter of Spinning Disks,” Journal of Fluids and Structures, Vol. 15, pp. 39-57   DOI   ScienceOn
6 Yasuda, K., Torii, T. and Shimizu, T., 1992, “Self excited oscillations of a circular disk rotating in air,” JSME International Journal, Series 3: Vibration, Control Engineering, Engineering for Industry, Vol. 35, pp. 347-352   DOI   ScienceOn
7 Kim, B. C., Raman, A. and Mote, Jr. C. D., 2000, “Prediction of Aeroelastic Flutter in a Hard Disk Drive,” Journal of Sound and Vibration, Vol. 238, No. 2, pp. 309-325   DOI   ScienceOn
8 Hansen, M. H., 1999, Aeroelasticity and Dynamics of Spinning Disks, Ph. D thesis, Department of Solid Mechanics, Technical University of Denmark
9 Huang, F. Y. and Mote, Jr. C. D., 1995, “On the Instability Mechanisms of a Disk Rotating Close to a Rigid Surface,” ASME Journal of Applied Mechanics, Vol. 62, pp. 764-771   DOI   ScienceOn
10 Kang, N. and Raman, A., 2006, “Vibration and Stability of a Flexible Disk Rotating in a Gas-Filled Enclosure-Part 1: Theoretical Study,” Journal of Sound and Vibration, Vol. 296, pp. 651-675   DOI   ScienceOn
11 Hosaka, H. and Crandall, S. H., 1992, “Self-excited Vibrations of a Flexible Disk Rotating on an Air Film Above a Flat Surface,” Acta Mechanica, Vol. 3, pp. 115-127
12 Huang, F. Y. and Mote, Jr. C. D., 1996, “Mathematical Analysis of Stability of a Spinning Disk Under Rotating, Arbitrarily Large Damping Forces,” ASME Journal of Applied Mechanics, Vol. 118, pp. 657-662   DOI   ScienceOn
13 Naganathan, G., Ramadhayani, S. and Bajaj, A. K., 2003, “Numerical Simulations of Flutter Instability of a Flexible Disk Rotating Close to a Rigid Wall,” Journal of Vibration and Control, Vol. 9, No. 1, pp. 95-118   DOI   ScienceOn
14 Renshaw, A. A., 1998, “Critical Speed for Floppy Disks,” ASME Journal of Applied Mechanics, Vol. 65, pp. 116-120   DOI   ScienceOn
15 Kang, N. and Raman, A., 2004, “Aeroelastic Flutter Mechanisms of a Flexible Disk Rotating in an Enclosed Compressible Fluid,” ASME Journal of Applied Mechanics, Vol. 71, pp. 120-130   DOI   ScienceOn
16 Love, A. E., 1944, Treatise on the Mathematical Theory of Elasticity, Dover Publications
17 Dowell, E. H., Gorman, G. F. and Smith, D. A., 1977, “Acoustoelasticity : General Theory, Acoustic Natural Modes and Forced Response to Sinusoidal Excitation, Including Comparisons with Experiment,” Journal of Sound and Vibration, Vol. 52, No. 4, pp. 519-542   DOI   ScienceOn
18 Fahy, F., 1985, Sound and Structural Vibration, Academic Press, Chap. 6
19 Dowell, E. H., 1975, Aeroelasticity of Plates and Shells, Noordhoff International Publishing, Leyden, Chap. 4
20 Vogel, S. M. and Skinner, D. W., 1965, “Natural Frequencies of Transversely Vibrating Uniform Annular Plates,” ASME Journal of Applied Mechanics, Vol. 32, pp. 926-931   DOI