Journal of Mechanical Science and Technology

The Korean Society of Mechanical Engineers (대한기계학회)
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Statistical Approach to Analyze Vibration Localization Phenomena in Periodic Structural Systems

  • Shin Sang Ha (Graduate School, Hanyang University) ;
  • Lee Se Jung (School of Mechanical Engineering, University of Seoul) ;
  • Yoo Hong Hee (School of Mechanical Engineering, Hanyang University)
  • Published : 2005.07.01
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Abstract

Malfunctions or critical fatigue problems often occur in mistuned periodic structural systems since their vibration responses may become much larger than those of perfectly tuned periodic systems. These are called vibration localization phenomena and it is of great importance to accurately predict the localization phenomena for safe and reliable designs of the periodic structural systems. In this study, a simple discrete system which represents periodic structural systems is employed to analyze the vibration localization phenomena. The statistical effects of mistuning, stiffness coupling, and damping on the vibration localization phenomena are investigated through Monte Carlo simulation. It is found that the probability of vibration localization was significantly influenced by the statistical properties except the standard deviation of coupling stiffness.

Keywords

References

  1. Anderson, P. W., 1958, 'Absence of Diffusion in Certain Random Lattices,' Physical Review, Vol. 109, No. 5, pp. 1492-1505 https://doi.org/10.1103/PhysRev.109.1492
  2. Bendiksen, O. O., 1984, 'Flutter of Mistuned Turbomachinery Rotors,' Journal of Engineering for Gas Turbines and Power, Vol. 106, No. 1, pp. 25-33 https://doi.org/10.1115/1.3239546
  3. Bendiksen, O. O., 1987, 'Mode Localization Phenomena in Large Space Structure,' AIAA Journal, Vol. 25 No. 9, pp. 1241-1248 https://doi.org/10.2514/3.9773
  4. Castanier, P. and Pierre, C., 1997, 'Consideration on the Benefits of Intentional Blade Mistuning for the Forced Response of Turbomachinery Rotors,' Analysis and Design Issues for Modern Aerospace Vehicles, Vol. 55, pp. 419-425
  5. Choi, B. K., 2003, 'Pattern Optimization of Intentional Blade Mistuning for the Reduction of the Forced Response Using Genetic Algorithm,' KSME International Journal, Vol. 17, No. 7, pp. 966-977
  6. Ewins, D. J., 1969, 'The Effect of Detuning upon the Forced Vibrations of Bladed Disks,' Journal of Sound and Vibration, Vol. 9, No. 1, pp. 65-79 https://doi.org/10.1016/0022-460X(69)90264-8
  7. Ewins, D. J., 1970, 'A Study of Resonance Coincidence in Bladed Disks,' Journal of Mechanical Engineering Science, Vol. 12, pp.305-312 https://doi.org/10.1243/JMES_JOUR_1970_012_055_02
  8. Ewins, D. J., 1973, 'Vibration Characteristics of Bladed Disc Assemblies,' Journal of Mechanical Engineering Science, Vol. 15, No. 3, pp. 165-186 https://doi.org/10.1243/JMES_JOUR_1973_015_032_02
  9. Ewins, D. J., 1976, 'Vibration Modes of Mistuned Bladed Disks,' ASME Journal of Engineering for Power, Vol. 98, No. 7, pp. 349-355 https://doi.org/10.1115/1.3446180
  10. Hodges, C. H., 1982, 'Confinement of Vibration By Structural Irregularity,' Journal of Sound and Vibration, Vol. 82 No. 3, pp. 411-424 https://doi.org/10.1016/S0022-460X(82)80022-9
  11. Papoulis, A., 1984, Probability, Random Variables, and Stochastic Process, McGraw-Hill
  12. Pierre, C. and Dowell, E. H., 1987, 'Localization of Vibration by Structural Irregularity,' Journal of Sound and Vibration, Vol. 114, No. 3, pp. 549-564 https://doi.org/10.1016/S0022-460X(87)80023-8
  13. Pierre, C., Tang, D. M. and Dowell, E. H., 1987, 'Localized Vibrations of Disordered Multispan Beams: Theory and Experiment,' AIAA Journal, Vol. 25, No. 9, pp. 1249-1257 https://doi.org/10.2514/3.9774
  14. Rubinstein, R. Y., 1981, Simulation and the Monte Carlo Method, Jon Wiley and Sons
  15. Sinha, A., 1986, 'Calculating the Statistics of Forced Response of a Mistuned Bladed Disk Assembly,' AIAA Journal, Vol. 24, No. 11, pp. 1797-1801 https://doi.org/10.2514/3.9526
  16. Sogliero, G. and Srinivasan, A. V., 1980, 'Fatigue Life Estimates of Mistuned Blades via a Stochastic Approach,' AIAA Journal, Vol. 18, No. 3, pp. 318-323 https://doi.org/10.2514/3.7654
  17. Wei, S. T., Pierre, C., 1988, 'Localization Phenomena in Mistuned Assemblies with Cyclic Symmetry [Part I] Free Vibrations, [Part II] Forced Vibrations,' Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol. 110, pp.429-449 https://doi.org/10.1115/1.3269547
  18. Yoo, H. H., Kim, J. Y. and Inman, D. J., 2003, 'Vibration Localization of Simplified Mistuned Cyclic Structures Undertaking External Harmonic Force,' Journal of Sound and Vibration, Vol. 261, No. 5, pp. 859-870 https://doi.org/10.1016/S0022-460X(02)00997-5