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Dynamic Characteristic Analysis of Trapezoidal Cantilever Plates Undergoing Translational Acceleration

가속을 받는 사다리꼴 외팔 평판의 동특성 해석

  • 임홍석 (한양대학교 대학원 기계설계학과) ;
  • 유홍희 (한양대학교 기계공학부)
  • Published : 2002.10.01

Abstract

A modeling method for the dynamic characteristic analysis of a translationally accelerated trapezoidal cantilever plate is presented in this paper. The equations of motion for the plate are derived and transformed into a dimensionless form. The effects of the inclination angles and the acceleration on the vibration characteristics of the plate are investigated. Incidentally, natural frequency loci veering and associated mode shape variations are observed and discussed.

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. Theodorsen, T., 1935, “Propeller Vibrations and the Effect of Centrifugal Force", NASA TN, No. 516.
  3. Schilhansl, M., 1958, “Bending Frequency of a Rotating Cantilever Beam", Transaction of ASME, Journal of Applied Mechanics, Vol. 25, pp. 28-30.
  4. Putter, S. and Manor, H., 1978, “Natural Frequencies of Radial Rotating Beams", Journal of Sound and Vibration, Vol. 56. pp. 175-185. https://doi.org/10.1016/S0022-460X(78)80013-3
  5. Bhat, R., 1986, “Transverse Vibration 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. https://doi.org/10.1016/0022-460X(86)90149-5
  6. Ryan, R.R. and Yoo, H.H., 1989, “Element Specific Linear and Nonlinear Modeling", SDIO NASA Conference Proceedings, San Diego, California, January.
  7. Liew, K. M. and Lim, M. K., 1993, “Transverse Vibration of Trapezoidal Plates of Variable Thickness: Symmetric Trapezoidals", Journal of Sound and Vibration, Vol. 165, No. 1, pp. 45-67. https://doi.org/10.1006/jsvi.1993.1242
  8. Liew, K. M., Lim, C. W. and Lim, M. K., 1993, “Transverse Vibration of Trapezoidal Plates of Variable Thickness: Unsymmetric Trapezoidals", Journal of Sound and Vibration, Vol. 177, No. 4, pp. 479-501. https://doi.org/10.1006/jsvi.1994.1447
  9. Dokainish, M. and Rawtani, S., 1971, “Vibration Analysis of Rotating Cantilever Plates", International Journal for Numerical Methods in Engineering, Vol.3, pp. 233-248. https://doi.org/10.1002/nme.1620030208
  10. Ramamurti, V. and Kielb, R., 1984, “Natural Frequencies of Twisted Rotating Plates", Journal of Sound and Vibration, Vol.97, No.3, pp. 429-449. https://doi.org/10.1016/0022-460X(84)90271-2
  11. Kim, S. K. and Yoo, H. H., 2002, “Vibration Analysis of Cantilever Plates Undergoing Translationally Accelerated Motion", KSME International Journal, Vol. 16, No. 4, pp. 448-453.
  12. Leissa, A. W., 1969, Vibration of Plates, NASA SP-160.