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크랙을 가진 회전 외팔보의 동특성 해석

Dynamic Behavior of Rotating Cantilever Beam with Crack

  • 윤한익 (동의대학교 기계공학과) ;
  • 손인수 (동의대학교 산업기술개발 연구소)
  • 발행 : 2005.05.01

초록

In this paper, we studied about the dynamic behavior of a cracked rotating cantilever beam. The influences of a rotating angular velocity, the crack depth and the crack position on the dynamic behavior of a cracked cantilever beam have been studied by the numerical method. The equation of motion is derived by using the Lagrange's equation. The cracked cantilever beam is modeled by the Euler-Bernoulli beam theory. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. The lateral tip-displacement and the axial tip-deflection of a rotating cantilever beam is more sensitive to the rotating angular velocity than the depth and position of crack. Totally, as the crack depth is increased, the natural frequency of a rotating cantilever beam is decreased in the first and second mode of vibration. When the crack depth is constant, the natural frequencies of a rotating cantilever beam are proportional to the rotating angular velocity in the each direction.

키워드

참고문헌

  1. Rao, J. S. 1996, Rotor Dynamics (3th ed.), New Age
  2. Southwell, R. and Gough, F., 1921, 'The Free Transverse Vibration of Airscrew Blades,' British A. R C. Reports and Memoranda No. 766
  3. Schilhansl, M., 1958, 'Bending Frequency of a Rotating Cantilever Beam,' Journal of Appl. Mech. Trans. Am. Soc. Mech. Engrs, Vol. 25, pp. 28-30
  4. Yoo, H., Ryan, R and Scott, R, 1995, 'Dynamics of Flexible Beams Undergoing Overall Motions,' Journal of Sound and Vibration, Vol. 181, No.2, pp. 261-278 https://doi.org/10.1016/0022-460X(71)90349-X
  5. Yoo, H. H ., Kwak, J. Y. and Chung, J., 2001 'Vibration Analysis of Rotating Pre-twisted Blades with a Concentrated Mass,' Journal of Sound and Vibration, Vol. 240, No.5, pp. 891 -908 https://doi.org/10.1006/jsvi.2000.3258
  6. Panussis, D. A. and Dimarogonas, A. D., 2000, 'Linear In-plane And Out-of-plane Lateral Vibrations of a Horizontally Rotating Fluid-Tube Cantilever,' Journal of Fluids and Structures, Vol. 14, pp. 1-24 https://doi.org/10.1006/jfls.1999.0224
  7. Hamdan, M. N. and AI-Bedoor, B. O., 2001, 'Non-linear Free Vibrations of a Rotating Flexible Arm,' Journal of Sound and Vibration, Vol. 242, No.5, pp. 839-853 https://doi.org/10.1006/jsvi.2000.3387
  8. Park, J. H. and Kim, J. H .,1999, 'Dynamic Analysis of Rotating Curved Beam with a Tip Mass,' Journal of Sound and Vibration, Vol. 228, No.5, pp. 1017-1034 https://doi.org/10.1006/jsvi.1999.2457
  9. 윤한익, 손인수, 2003, '회전하는 유체이송 외팔 파이프의 동특성 해석', 한국소음진동공학회논문집, 제 13 권, 제 1 호, pp. 26-32
  10. Fung, E. H. K. and Yau, D. T. W. 2001, 'Vibration Frequencies of a Rotating Flexible Arm Carrying a Moving Mass,' Journal of Sound and Vibration, Vol. 241, No.5, pp. 857-878 https://doi.org/10.1006/jsvi.2000.3332
  11. Douka, E., Bamnios, G. and Trochidis, A., 2004, 'A Method for Determining the Location and Depth of Cracks in Double-cracked Beams,' Applied Acoustics, Vol. 65, pp. 997-1008 https://doi.org/10.1016/j.apacoust.2004.05.002
  12. Yoon, H. I. and Son, I. S., 2004, 'Dynamic Behavior of Cracked Pipe Conveying Fluid with Moving Mass Based on Timoshenko Beam Theory,' KSME International Journal, Vol. 18, No. 12, pp. 2216-2224
  13. Kim, S. S. and Kim, J. N., 2003, 'Rotating Composite Beam with a Breathing Crack,' Composite Structures, Vol. 60, pp. 83-90 https://doi.org/10.1016/S0263-8223(02)00291-X
  14. Dado, M. H. F. and Abuzeid, O., 2003, 'Coupled Transverse and Axial Vibratory Behaviour of Cracked Beam with End Mass and Rotary Inertia,' Journal of Sound and Vibration, Vol. 261, pp, 675-696 https://doi.org/10.1016/S0022-460X(02)01004-0
  15. Ewalds, H. L. and Wnahil, R. J. H., 1984, Fracture Mechanics, Edward Arnold and Delftse Uitgevers Maatschappij, London
  16. Cai, G. P., Hong, J. Z. and Yang, S. X., 2004, 'Model Study and Active Control of a Rotating Flexible Cantilever Beam,' International Journal of Mechanical Sciences, Vol. 46, pp. 871-889 https://doi.org/10.1016/j.ijmecsci.2004.06.001

피인용 문헌

  1. Development of the Natural Frequency Analysis System to Examine the Defects of Metal Parts vol.24, pp.3, 2015, https://doi.org/10.5369/JSST.2015.24.3.169