DOI QR코드

DOI QR Code

독립좌표연성법을 이용한 정사각형 구멍을 갖는 단순지지 원판의 자유진동해석

Free Vibration Analysis of a Simply-supported Circular Plate with a Concentric Square Hole by the Independent Coordinate Coupling Method

  • 허석 (건국대학교 인공근육연구센터) ;
  • 곽문규 (동국대학교 기계공학과)
  • 발행 : 2009.02.20

초록

This paper presents the free vibration analysis of a circular plate with a concentric square hole. The boundary condition is the edge of the square hole is free and the outer circular plate is simply supported. Due to the geometric abnormality, this analysis does not permit an exact solution. The present problem deals with the numerical calculation of the natural frequencies and mode shapes of vibration of the structure by independent coordinate coupling method(ICCM). The numerical results show the efficacy of the ICCM and changes in natural frequencies and modes due to the square hole size.

키워드

참고문헌

  1. Leissa, A. W., 1969, “Vibration of Plates,” NASA SP160
  2. Paramasivam, P., 1973, “Free Vibration of Square Plates with Square Opening,” Journal of Sound Vibration, Vol. 30, pp. 173-178 https://doi.org/10.1016/S0022-460X(73)80111-7
  3. Ali, R. and Atwal, S. J., 1980, “Prediction of Natural Frequencies of Vibration of Rectangular Plates with Rectangular Cutouts,” Computers and Structures, Vol. 12, pp. 819-823 https://doi.org/10.1016/0045-7949(80)90019-X
  4. Vogel, S. M. and Skinner, D. W., 1965, “Natural Frequencies of Transversely Vibrating Uniform Annular Plates,” Transactions of the ASME. Journal of Applied Mechanics, Vol. 32, pp. 926-931 https://doi.org/10.1115/1.3627337
  5. Kurasia, H. B. and Rawtani, S., 1978, “Vibration Analysis of Circular Plates with Eccentric Hole,” Transactions of the ASME, Journal of Applied Mechanics, Vol. 45, No. 1, pp. 215-217 https://doi.org/10.1115/1.3424239
  6. 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, No. 1-2, pp. 12-30 https://doi.org/10.1016/j.jsv.2007.05.041
  7. 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
  8. Heo, S. and Kwak, M. K., 2008, “Free Vibration Analysis of a Circular Plate with an Eccentric Circular Hole by the Independent Coordinate Coupling Method,” Transactions of the Korean Society for Noise and Vibration Engineering. Vol. 18, No. 6, pp. 681-689 https://doi.org/10.5050/KSNVN.2008.18.6.681
  9. Avalos, D. R., Larrondo, H. A., Laura, P. A. A. and Sonzogni, V., 1998, “Transverse Vibration of a Circular Plate with a Concentric Square Hole with Free Edges,” Journal of Sound and Vibration, Vol. 209, No. 5, pp. 889-891 https://doi.org/10.1006/jsvi.1997.1276
  10. Hatch, M. R., 2001, “Vibration Simulation Using MATLAB and ANSYS,” Chapman and Hall/CRC