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Free Vibration Analysis of a Circular Plate with an Eccentric Circular Hole by the Independent Coordinate Coupling Method

독립좌표연성법을 이용한 편심 된 원형 구멍을 갖는 원판의 자유진동해석

  • 허석 (건국대학교 인공근육연구센터) ;
  • 곽문규 (동국대학교 기계공학과)
  • Published : 2008.06.20

Abstract

This paper is concerned with the free vibration analysis of a circular plate with an eccentric circular hole by the Independent coordinate coupling method(ICCM). It was proved in the previous study that the ICCM can accurately predict the natural frequencies and mode shapes of the annular plates and can also be used for the free vibration analysis of the simply-supported circular plate with an eccentric circular hole. In this study, the clamped and free boundary conditions were considered for the circular plate. The numerical results show that the ICCM can be used effectively for the free vibration problem of circular plate with an eccentric hole compared to the finite element method.

References

  1. Leissa, A. W., 1969, 'Vibration of Plates', NASA SP160
  2. Nagaya, K., 1951, 'Transverse Vibration of a Plate having an Eccentric Inner Boundary', Journal of Applied Mechanics, Trans. of the ASME, Vol.18, No.3, pp. 1031-1036
  3. Khurasia, H. B. and Rawtani, S., 1978, 'Vibration Analysis of Circular Plates with Eccentric Hole', Journal of Applied Mechanics, Trans. of the ASME, Vol.45, No.1, pp. 215-217 https://doi.org/10.1115/1.3424239
  4. Lin, W. H., 1982, 'Free Transverse Vibrations of Uniform Circular Plates and Membranes with Eccentric Holes', Journal of Sound and Vibration, Vol.81, No.3, pp. 425-435 https://doi.org/10.1016/0022-460X(82)90250-4
  5. Laura, P. A. A., Masia, U. and Avalos, D. R., 2006, 'Small Amplitude, Transverse Vibrations of Circular Plates Elastically Restrained Against Rotation with an Eccentric Circular Perforation with a Free Edge', Journal of Sound and Vibration, Vol. 292, pp. 1004-1010 https://doi.org/10.1016/j.jsv.2005.09.024
  6. Cheng, L., Lin, Y. Y. and Yam, L. H., 2003, 'Vibration Analysis of Annular-like Plates', Journal of Sound and Vibration, Vol. 262, pp. 1153-1170 https://doi.org/10.1016/S0022-460X(02)01093-3
  7. Lee, W. M., Chen, J. T. and Lee, Y. T., 2007, 'Free Vibration analysis of Circular Plates with Multiple Circular Holes using Indirect BIEMs', Journal of Sound and Vibration, Vol. 304, pp. 811-830 https://doi.org/10.1016/j.jsv.2007.03.026
  8. Zhong, H. and Yu, T., 2007, 'Flexural Vibration Analysis of an Eccentric Annular Mindlin Plate', c., Vol. 77, pp. 185-195 https://doi.org/10.1007/s00419-006-0083-z
  9. Kwak, M. K. and Han, S. B., 2007, 'Free Vibration Analysis of Rectangular Plate with a Hole by means of Independent Coordinate Coupling Method', Journal of Sound and Vibration, Vol. 306, pp. 12-30 https://doi.org/10.1016/j.jsv.2007.05.041
  10. Kwak, M. K. and Song, M. H., 2007, 'Free Vibration Analysis of Rectangular Plate with Multiple Circular Cutouts by Independent Coordinate Coupling Method', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 11, pp. 1086-1092 https://doi.org/10.5050/KSNVN.2007.17.11.1086
  11. Heo, S. and Kwak, M. K., 2008, 'Free Vibration Analysis of an Annular Plate by the Independent Coordinate Coupling Method', Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 18, No. 5, pp. 564-571 https://doi.org/10.5050/KSNVN.2008.18.5.564
  12. Kwak, M. K. and Heo, S., 2008, 'Free Vibration Analysis of a Simply supported Circular Plate with an Eccentric Circular Hole using the Independent Coordinate Coupling Method', Journal of Sound and Vibration. (in review.)