한국소음진동공학회논문집 (Transactions of the Korean Society for Noise and Vibration Engineering)

  • 제19권12호
  • /
  • Pages.1338-1346
  • /
  • 2009
  • /
  • 1598-2785(pISSN)
  • /
  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
권호 표지
DOI QR코드

DOI QR Code

충만 디스크의 면내 진동 해석을 위한 1차원 환상 평판 요소

A One-dimensional Annular Plate Element for In-plane Vibration Analysis of Full Disks

  • 곽동희 (인하대학교 대학원 기계공학과) ;
  • 임정기 (인하대학교 대학원 기계공학과) ;
  • 김창부 (인하대학교 공과대학 기계공학부)
  • 발행 : 2009.12.20
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We present a one-dimensional annular plate element with which the in-plane vibration of full disks can be analyzed efficiently and accurately by using the FEM. Its elementary mass matrix and stiffness matrix are derived, respectively, from the virtual work by effective forces and the virtual strain energy. The static deformation modes obtained from an integration of the differential equilibrium equations of the annular plate are used as interpolation functions of the one-dimensional annular plate element. The in-plane natural vibration characteristics of a 2-step full disk and a uniform full disk are analysed. Its results are compared with the results obtained by utilizing two-dimensional 8-node quadrilateral plane elements and cyclic symmetry of the disk. And also, by comparing with the theoretical results of previous researchers, the efficiency and accuracy of the presented element are verified.

키워드

참고문헌

  1. Onoe, M., 1956, 'Contour Vibration of Isotropic Circular Plates,' Journal of the Acoustical Society of America, Vol. 28, No. 6, pp. 1158-1162 https://doi.org/10.1121/1.1908579
  2. Holland, R., 1966, 'Numerical Studies of Elastic-disk Contour Modes Lacking Axial Symmetry,' Journal of the Acoustical Society of America, Vol. 40, No. 5, pp. 1051-1057 https://doi.org/10.1121/1.1910187
  3. Srinivasan, V. and Ramamurti, V., 1980, 'Inplane Vibrations of Annular Disk Using Finite Elements,' Journal of Mechanical Design, Transactions of the ASME, Vol. 102, pp. 585-588 https://doi.org/10.1115/1.3254789
  4. Irie, T., Yamada, G. and Muramoto, Y., 1984, 'Natural Frequencies of In-plane Vibration of Annular Plates,' Journal of Sound and Vibration, Vol. 97, No. 1, pp. 171-174 https://doi.org/10.1016/0022-460X(84)90479-6
  5. So, J. and Leissa, A. W., 1998, 'Threedimensional Vibrations of Thick Circular and Annular Plates,' Journal of Sound and Vibration, Vol. 209, No. 1, pp. 15-41 https://doi.org/10.1006/jsvi.1997.1228
  6. Liu, C. F. and Lee, Y. T., 2000, 'Finite Element Analysis of Three-dimensional Vibrations of Thick Circular and Annular Plates,' Journal of Sound and Vibration, Vol. 233, No. 1, pp. 63-80 https://doi.org/10.1006/jsvi.1999.2791
  7. Farag, N. H. and Pan, J., 2003, 'Modal Characteristics of In-plane Vibration of Circular Plates Clamped at the Outer Edge,' Journal of the Acoustical Society of America, Vol. 113, No. 4, pp. 1935-1946 https://doi.org/10.1121/1.1553456
  8. Park, C. I., 2008, 'Frequency Equation for the In-plane Vibration of a Clamped Circular Plate,' Journal of Sound and Vibration, Vol. 313, No. 1-2, pp. 325-333 https://doi.org/10.1016/j.jsv.2007.11.034
  9. Song, S. G., Kwak, D. H. and Kim, C. B., 2009, 'In-plane Natural Vibration Analysis of a Rotating Annular Disk,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 19, No. 2, pp. 208-216 https://doi.org/10.5050/KSNVN.2009.19.2.208
  10. Dhatt, G. and Touzot, G., 1984, The Finite Element Method Displayed, John Wiley & Sons, Chichester
  11. Kim, C. B. and Shim, S. S., 1998, 'A Method for Finite Element Analysis of Rotating Structures with Cyclic Symmetry,' Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 8, No. 6, pp. 1150-1157