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

The Korean Society for Noise and Vibration Engineering (한국소음진동공학회)
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Modal Analysis of a Rotating Packet Blade System having a Crack

한 개의 크랙을 가진 회전하는 패킷 블레이드 시스템의 진동해석

  • 권승민 (한양대학교 대학원 기계공학과) ;
  • 유홍희 (한양대학교 기계공학부)
  • Published : 2009.12.20
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Abstract

In this paper the vibrational behavior of a multi-packet blade system having a cracked blade is investigated. Each blade is assumed as a slender cantilever beam. The coupling stiffness effect that originates from either disc flexibility or shroud is considered in the modeling. Hybrid deformation variables are employed to derive the equations of motion. The flexibility due to crack, which is assumed to be open during the vibration, is calculated basing on a fracture mechanics theory. In the paper, the results of the change in modal parameters due to crack appearance are presented. The influence of the crack parameters, especially of the changing location of the crack is examined.

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References

  1. Southwell, R. and Gough, F., 1921, 'The Free Transverse Vibration of Airscrew Blades,' British A. R. C. Reports and Memoranda No. 766
  2. Schilhansl, M., 1958, 'Bending Frequency of a Rotating Cantilever Beam,' J. of App. Mech. Trans. Am. Soc. Mech. Engrs, 25, pp. 28-30
  3. Bock, E., 1942, 'Behavior of Concrete and Reinforced Concrete Subjected to Vibrations Causing Bending,' VDIZ 86, pp. 145-147
  4. Shen, M., Pierre, C. 1990, 'Natural Modes of Euler-Bernoulli Beam,' J. of Vibration and Acoustics Stress and Reliability, Vol. 111, pp. 81-84
  5. Chati, M., Rand, R. and Mukherjee, S., 1997, 'Modal Analysis of a Cracked Beam,' J. of Sound and Vibration, Vol. 207, No. 2, pp. 249-270 https://doi.org/10.1006/jsvi.1997.1099
  6. Chondros, T. and Dimarogonas, A., 1998, 'Vibration of a Cracked Cantilever Beam,' J. of Vibration and Acoustics, Vol. 120, pp. 742-746 https://doi.org/10.1115/1.2893892
  7. Yoon, H. and Son, I., 2005, 'Dynamic Behavior of Rotating Cantilever Beam with Crack,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 15, No. 5, pp. 620-628 https://doi.org/10.5050/KSNVN.2005.15.5.620
  8. Yoo, H. H., 1991, 'Bending Vibration of Rotating Cantilever Beams,' Transactions of the KSME, Vol. 16, No. 5, pp. 891-898
  9. Chondros, T. and Dimarogonas, A., 1998, 'Vibration of a Cracked Cantilever Beam,' J. of Vibration and Acoustics, Vol. 120, pp. 742-746 https://doi.org/10.1115/1.2893892
  10. Dado, M. and Abuzeid, O., 2003, 'Coupled Transverse and Axial Vibratory Behaviour of Cracked Beam with End Mass and Rotary Inertia,' J. of Sound and Vibration, Vol. 261, No. 4, pp. 675-696 https://doi.org/10.1016/S0022-460X(02)01004-0
  11. Kane, T. and Levinson, D., 1985, 'Dynamics, Theory and Applications,' McGraw-Hill Book Co.
  12. Ewalds, H. and Wnahil, R., 1984, 'Fracture Mechanics,' Edward Amold and Delftse Uitgevers Maatschappij, London
  13. Krawczuk, M., 2002 'The Dynamic Analysis of a Cracked Beam by the Spectral Element Method'
  14. Anderson, T. L., 2002 'Fracture Mechanics and Application'