A Study on the Free Vibration of a Square Plate with Various Hole Position

사각평판에서 홀의 위치에 따른 자유진동에 관한 연구

  • 김현수 (동아대학교 기계산업시스템 공학부) ;
  • 안찬우 (동아대학교 기계산업시스템 공학부) ;
  • 최경호 (동아대학교 기계공학과 대학원) ;
  • 김동영 (동아대학교 기계공학과 대학원) ;
  • 김형준 (동아대학교 기계공학과 대학원)
  • Published : 2003.05.01

Abstract

In this study, it is attempted to obtain the optimum size of holes in 15 square plate models where a hole exists on every quadrant of a plate, and to get eigenvalues by performing free vibration analysis for each model. Moreover, the specimen is produced from optimized square plate and eigenvalue of each plate is measured through the shocking load. And then the result is compared with that of finite element analysis. For free vibration analysis of the square plate, the boundary condition of finite element analysis and experiment is assumed as both ends clamped support. From the results of this study, it is known that more stable structures can be designed by changing the natural frequency which is dependent on the location of holes and further studies are considered to be necessary fur the basic design information.

Keywords

References

  1. Hyde, K., Chang, J. Y., Bacca, C. and Wickert, J. A., 'Paremeter Studies for Plane Stress In-Plane Vibration of Rectangular Plates,' Journal of Sound and Vibration, Vol. 247, Issu 3, pp. 471-487, 2001 https://doi.org/10.1006/jsvi.2001.3767
  2. Liang, Cho-Chung, Liao, Ching-Chao, Tai, Yuh-Shiou and Lai, Wen-Hao, 'Free Vibration Analysis of Submerged Cantilever Plates,' Ocean Engineering, Vol. 28, Issu 9, pp. 1225-1245, 2001 https://doi.org/10.1016/S0029-8018(00)00045-7
  3. Chai Gin Boay, 'Free Vibration of Laminated Composite Plates with a Central Circular Hole,' Composite Structures, Vol. 35, pp. 357-368, 1996 https://doi.org/10.1016/S0263-8223(96)00037-2
  4. Huang, M., Sakiyama, T., 'Free Vibration Analysis of Rectangular Plates with Variously-Shaped Holes,' Journal of Sound and Vibration, Vol. 226(4), pp. 769-786, 1999 https://doi.org/10.1006/jsvi.1999.2313
  5. Avalos, D. R., Larrondo, H. A., Laura, P. A. A. and Sonzogni, V., 'Transverse Vibrations of a Circular Plate with a Concentric Square Hole with Free Edges,' Journal of Sound and Vibration, Vol. 209, Issue 5, pp. 889-891, 1998 https://doi.org/10.1006/jsvi.1997.1276
  6. Ro Seung Hoon, Cho Han Joong, Choi Eun Hwan, 'Analysis of the Free Vibrations of Rectangular Plates Using Database,' The Korean Society of Mechanical Engineers A, Vol. 24, No. 8, pp. 1978-1990, 2000
  7. Kim, K. C. , Han, S. Y. , Jung, J. H., 'Natural Vibrations of Rectangular Stiffened Plates with Inner Cutouts,' The Society of Naval Architects of Korea, Vol. 24, No. 3, pp. 35-42, 1987
  8. Gorman, D. J. 'Free Vibration Analysis of Rectangular Plate,' Elsevier North Holland, INC, PP. 1-16, 1982
  9. Kim Hyoun Soo, Ahn Chan Woo, Choi Kyong Ho, Choi Tae Won, Kim Hyoung Jun, Free Vibration Analysis of Size and Position of Hole in Square Plate,' J. of the Korean Society of Precision Engineering, 2001 Proceeding, PP. 664-667, 2001
  10. Walter D. Pilkey, 'Perterson's Stress Concentration Factor,' JOHN WILEY & SONS, INC., Second Edition, PP. 200-210, 1997
  11. Cho Han Joong, Ro Seung Hoon, 'Effect of Design Parameters on the Variation of Natural Frequencies of the Uniform and the Nonuniform Cantilever Beams,' The Korean Society of Mechanical Engineers A, Vol. 23, No. 4, pp. 697-708, 1999
  12. Park, S. C., Choi, C. W., Oh, C. G., Wang, J. S., Jeong, J. H., 'A Study on the Structural Modification of the Open Box Type Structure by Using the Stiffener,' The Korean Society for Noise and Vibration Engineering, Vol. 6, No. 1, pp. 57-66, 1996