DOI QR코드

DOI QR Code

Vibration Analysis of a Rotating Blade Considering Pre-twist Angle, Cross Section Taper and a Concentrated Mass

초기 비틀림 각과 단면 테이퍼 그리고 집중질량을 갖는 회전하는 블레이드의 진동해석

  • Kim, Hyung Yung (School of Mechanical Engineering Hanyang University) ;
  • Yoo, Hong Hee (School of Mechanical Engineering Hanyang University)
  • Received : 2012.12.28
  • Accepted : 2013.01.24
  • Published : 2013.04.20

Abstract

Equations of motion of a rotating blade considering pre-twist angle, cross section taper and a concentrated mass are derived using the hybrid deformation variable modeling method. For the modeling of a concentrated mass which is located at an arbitrary position of the blade, a Dirac delta function is employed for the mass density function. The final equations for the vibration analysis are transformed into a dimensionless form using several dimensionless parameters. The effects of the dimensionless parameters on the vibration characteristics of the rotating blade are investigated through numerical analysis.

Keywords

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, Journal of Appl. Mech. Trans. Am. Soc. Mech. Engrs, 25, pp. 28-30.
  3. Putter, S. and Manor, H., 1978, Natural Frequencies of Radial Rotating Beams, Journal of Sound and Vibration, Vol. 56, No. 2, pp. 175-185. https://doi.org/10.1016/S0022-460X(78)80013-3
  4. Bauer, H. F., 1980, Vibration of a Rotating Uniform Beam, Journal of Sound and Vibration, Vol. 72, No. 2, pp. 177-189. https://doi.org/10.1016/0022-460X(80)90651-3
  5. Hoa, S., 1979, Vibration of a Rotating Beam with Tip Mass, Journal of Sound and Vibration, Vol. 67, No. 3, pp. 369-381. https://doi.org/10.1016/0022-460X(79)90542-X
  6. Kuo, Y. H., Wu, T. H. H. and Lee, S. Y., 1994, Bending Vibration of a Rotating Non-uniform Beam with Tip Mass and a Elastically Restrained Root, Computer & Structure, Vol. 22, No. 2, pp. 229-236.
  7. Kane, T., Ryan, R. and Banerjee, A., 1987, Dynamics of Cantilever Beam Attached to a Moving Base, Journal of Guidance, Control and Dynamics, Vol. 10, No. 2, pp. 139-151. https://doi.org/10.2514/3.20195
  8. Yoo, H., Ryan, R. and Scott, R., 1995, Dynamics of Flexible Beams Undergoing Overall Motion, Journal of Sound and Vibration, Vol. 181, No. 2, pp. 261-278. https://doi.org/10.1006/jsvi.1995.0139
  9. Yoo, H., Seo, S. and Hub, K., 2002, The Effect of a Concentrated Mass on the Modal Characteristics of a Rotating Cantilever Beam, Journal of Mechanical Engineering Science, Vol. 216, No. 2, pp. 151-163. https://doi.org/10.1243/0954406021525098
  10. Yoo, H., Park, J, H., and Park, J, H., 2001, Vibration Analysis of Rotating Pre-twisted Blades, Computers & Structures, Vol. 79, No. 19, pp. 1811-1819. https://doi.org/10.1016/S0045-7949(01)00110-9
  11. Lim, H., Chung, J. and Yoo, H., 2009, Modal Analysis of a Rotating Multi-packet Blade System, Journal of Sound and Vibration, Vol. 325, No. 3, pp. 513-531. https://doi.org/10.1016/j.jsv.2009.03.042
  12. Khulief, Y. A., 1989, Vibration Frequencies of a Rotating Tapered Beam with End Mass, Journal of Sound and Vibration, Vol. 134, No. 1, pp. 87-97. https://doi.org/10.1016/0022-460X(89)90738-4