Browse > Article
http://dx.doi.org/10.3795/KSME-A.2003.27.8.1331

Vibration Analysis of Rotating Cantilever Plates with Arbitrary Orientation Angle  

Kim, Sung-Kyun (한국원자력연구소)
Yoo, Hong-Hee (한양대학교 기계공학부)
Publication Information
Transactions of the Korean Society of Mechanical Engineers A / v.27, no.8, 2003 , pp. 1331-1337 More about this Journal
Abstract
Linearized equations of motion for the vibration analysis of rotating cantilever plates with arbitrary orientation angle are derived in the present work. Two in-plane stretch variables are introduced to be approximated. The use of the two in-plane stretch variables enables one to derive the equations of motion which include proper motion-induced stiffness variation terms. The equations of motion are transformed into dimensionless forms in which dimensionless parameters are identified. The effects of the dimensionless parameters on the modal characteristics of rotating cantilever plates are investigated through numerical study. The natural frequency loci veering along with the associated mode shape variations, which occur while the rotating speed increases, are also presented and discussed.
Keywords
Vibration Analysis; Cantilever Plate; Arbitrary Orientation Angle; Natural Frequency; Mode Shape Variation; Natural Frequency Loci Veering;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Bhat, R., 1986, 'Transverse Vibrations of a Rotating Uniform Cantilever Beam with Tip Mass as Predicted by Using Beam Characteristic Orthogonal Polynomials in the Rayleigh-Ritz Method,' Journal of Sound and Vibration, Vol. 105, No. 2, pp. 199-210   DOI   ScienceOn
2 Southwell, R. and Gough, F., 1921, 'The Free Transverse Vibration of Airscrew Blades,' British A.R.C. Reports and Memoranda, No. 766
3 Theodorsen, T., 1935, 'Propeller Vibrations and the Effect of Centrifugal Force,' NASA TN, No. 516
4 Schilhansl, M., 1958, 'Bending Frequency of a Rotating Cantilever Beam,' Transaction of ASME, Journal of Applied Mechanics, Vol. 25, pp. 28-30
5 Putter, S. and Manor, H., 1978, 'Natural Frequencies of Radial Rotating Beams,' Journal of Sound and Vibration, Vol. 56, pp. 175-185   DOI   ScienceOn
6 Dokainish, M. and Rawtani, S., 1971, 'Vibration Analysis of Rotating Cantilever Plates,' International Journal for Numerical Methods in Engineering, Vol. 3, pp. 233-248   DOI
7 Ramamurti, V. and Kielb, R., 1984, 'Natural Frequencies of Twisted Rotating Plates,' Journal of Sound and Vibration, Vol. 97, No. 3, pp. 429-449   DOI   ScienceOn
8 Yoo, H. H. and Chung, J., 2001, 'Dynamics of Rectangular Plates Undergoing Prescribed Overall Motion,' Journal of Sound and Vibration, Vol. 239, No. 1, pp. 123-137   DOI   ScienceOn
9 Yoo, H. H., 1993, 'Vibration Analysis of Rotating Cantiliever Plates,' Transactions of the KSME, Vol. 17, No. 3, pp. 652-657
10 Young, D., 1950, 'Vibration of Rectangular Plates by the Ritz Method,' Journal of Applied Mechanics, Vol. 17, No. 4, pp. 448-453
11 Leissa, A. W., 1969, Vibration of Plates, NASA SP-160
12 Ryan, R.R. and Yoo, H.H., 1989, 'Element Specific Linear and Nonlinear Modeling,' SDIO NASA Conference Proceedings, San Diego, California, January
13 Barton, M. V., 1951, 'Vibration of Rectangular and Skew Cantilever Plates,' Journal of Applied Mechanics, Vol. 18, No. 1, pp. 129-134