Transactions of the Korean Society for Noise and Vibration Engineering (한국소음진동공학회논문집)

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Study on Application of Spatial Signal Processing Techniques to Wavenumber Analysis of Vibration Data on a Cylindrical Shell

원통셸의 진동 데이터에 대한 파수해석을 위한 공간신호처리 방법의 응용 연구

  • 길현권 (수원대학교 기계공학과) ;
  • 이찬 (수원대학교 기계공학과)
  • Received : 2010.08.13
  • Accepted : 2010.08.20
  • Published : 2010.09.20
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Abstract

The vibration of a cylindrical shell is generated due to elastic waves propagating on the shell. Those elastic waves include propagating waves such as flexural, longitudinal and shear waves. Those also include non-propagating decaying waves, i.e. evanescent waves. In order to separate contributions of each type of waves to the data for the vibration of the cylindrical shell, spatial signal processing techniques for wavenumber analysis are investigated in this paper. Those techniques include Fast Fourier transform(FFT) algorithm, Extended Prony method and Overdetermined Modified Extended Prony method(OMEP). Those techniques have been applied to identify the waves from simulated vibration signals with various signal-to-noise ratios. Futhermore, the experimental data for in-plane vibration of the cylindrical shell has been processed with those techniques to identify propagating waves(longitudinal, shear and flexural waves) and evanescent waves.

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References

  1. Junger, M. C., 1990, “Shipboard Noise : Sources, Transmission and Control,” Noise Control Engineering Journal, Vol. 34, No. 3, pp. 3-8. https://doi.org/10.3397/1.2827752
  2. Brigham, E. O., 1974, “The Fast Fourier Transform,” Prentice-Hall, Inc.
  3. Marple Jr., S. L., 1987, “Digital Spectral Analysis : with Application,” Engle Cliffs, NJ.
  4. Kumaresan, R. and Tufts, D. W., 1982, “Estimating the Parameters of Exponentially Damped Sinusoids and Pole-zero Modeling in Noise,” IEEE Transactions Acoustics Speech Signal Process, ASSP-30, pp. 982-988.
  5. Grosh, K. and Williams, E. G., 1993, “Complex Wave-number Decomposition of Structural Vibrations,” Journal of the Acoustical Society of America, Vol. 93, No. 2, pp. 836-848. https://doi.org/10.1121/1.405445
  6. Williams, E. G., Houston B. H. and Bucaro, J. A., 1990, “Experimental Investigation of the Wave Propagation on a Point-driven Submerged Capped Cylindrical Cylinder Using K-space Analysis,” Journal of the Acoustical Society of America, Vol. 87, No. 2, pp. 513-522. https://doi.org/10.1121/1.398922
  7. Brown, S., Ram, Y. M., 1987, “Determination of Structural Modes via the Prony Model : System Order and Noise Induced Poles,” Journal of the Acoustical Society of America, Vol. 81, No. 5, pp. 1447-1459. https://doi.org/10.1121/1.394497
  8. Kumaresan, R. and Tufts, D. W., 1982, “Estimating the Parameters of Exponentially Damped Sinusoidsand Pole-zero Modeling in Noise,” IEEE Transactions Acoustics Speech Signal Process, ASSP-30, pp. 982-988.
  9. Kil, H. G., 1999, “Wave Interpretation of Forced Vibration of Finite Cylindrical Shells,” Journal of Acoustical Society of Korea, Vol. 18, No. 2, pp. 83-89.
  10. Kil, H. G., Jarzynski, J. and Berthelot, Y. H., 1998, “Wave Decomposition of the Vibrations of a Cylindrical Shell with an Automated Scanning Laser Vibrometer,” Journal of Acoustical Society of America, Vol. 104, No. 6, pp. 3161-3168. https://doi.org/10.1121/1.423956
  11. Kil, H. G., 2001, “Analysis of the Dispersion Relation of Elastic Waves Propagating on Vibrating Cylindrical Shell,” Journal of Acoustical Society of Korea, Vol. 20, No. 4, pp. 45-51.