KSME International Journal

, Volume 11, Issue 3, pp 300–310 | Cite as

Dynamic and acoustic characteristics of bell type structure using finite element method

  • Suk Choo Chung
  • Chang Duk Kong


Dynamic and acoustic characteristics of the bell type structure were analyzed numerically. The finite element method with 3-D general shell element was used to identify the natural frequencies and mode shapes of the structure. Mode shapes and stress distributions of a transient dynamic analysis were effectively displayed by using computer graphic technique. The results of this numerical study were in good agreement with those obtained from the experimental test of fast Fourier transform analyer. Vibrational modes, which effect the acoustic characteristics of the typical bell-type structure were found to be the first flexural mode (4-0 mode) and the second flexural mode (6-0 mode). Asymmetric effects by Dangjwas and acoustic holes gave rise to beat frequencies, and the Dangjwa was found to be most effective. When the impact load was applied to the bell, the stress concentration occured at the rim part of the bell. It was found that the bell type structure should be designed thickly at the rim part in order to prevent failure from impact loads.

Key Words

Dynamic Behavior Acoustic Behavior Bell Type Structure Finite Element Method Transient Dynamic Analysis 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Ansari, Jahangir, 1983, “Dynamic Analysis of Axisymmetric Thin Elastic Shells Using The Finite Element Method,”Seoul National University, Graduate Shool Department of Mechnic and Design, Doctor of Engineering Google Scholar
  2. Aoki, I., Komatsuzawa A. and Ise, M., 1970. “Effect of Local Loading on the Accoustical Property of Japanese Bell.”Journal of JAS, Vol. 26.Google Scholar
  3. Arnold, R. N. and Warburton, G. B. 1949. “Flexural Vibrations of the Walls of Thin Cylinderical Shells Having Freely Supported Ends,”Proc. Roy. Soc., London Vol. 17, pp. 238–256.Google Scholar
  4. Curtiss, A. N. and Gainnini, G. M.,J. A. S. A. Vol 4, p. 245, 1933, Vol. 5, p. 293, 1935.Google Scholar
  5. Chung, S. C., Yum, Y. H., Kong, C. D., 1985, “A Study on the Dynamic Characteristics of the Yi-Dynasty Bell-Type Structure by Finite, Element Method,”KSME Journal, Vol. 9, No. 3, pp. 309–318Google Scholar
  6. Chung, S. C., Yum, Y. H., Kong, C. D., 1986, “Modal Analysis of the Bell Type Shell with Thickness and Asymmetric Effects,”KSME Journal, Vol. 10, No. 3, pp. 383–391Google Scholar
  7. EMRC, 1990, “NISA II. USER’S MANUAL,” Sec. 2. 4, Ver, 90. 0Google Scholar
  8. Hurty, W. C. and Rubinstein, M. F. 1964, “Dynamics of Structures,” Prentice Hall, Inc., EngleWood Cliffs, NJGoogle Scholar
  9. Jones, A. T.Phys. Rev. Vol. 16, p. 247, 1920 Vol. 31, p. 1092, 1928.CrossRefGoogle Scholar
  10. Kalins, A., “Free Vibration of Rotationally Symmetric Shell,”J. Acoust. Soc. Amer., Vol. 9, pp. 270–283, 1964Google Scholar
  11. Leissa, A. W., 1978,Vibration of Shell, NASA SP-288Google Scholar
  12. Lord Rayleigh, 1887, “Scientific Papers I, II,” Sound.Google Scholar
  13. Moon, Changho, 1996, “Assessment of Birdstrike Resistant Aircraft Windshield,”KSAS Trans., Vol. 24 No. 2, pp. 95–105Google Scholar
  14. Thomson, W. T. 1981, “Vibration Theory and Applications,” Prentice Hall, Inc., NJ, 2nd, EditionGoogle Scholar
  15. Timoshenko, S. and Woinowsky-Krieger, 1959,Theory of Plates and Shells, Chap. 6, p. 185, McGraw-Hill, New YorkGoogle Scholar
  16. Yamashita, K. and Aoki, I. 1932, “On the Frequencies of the Sound Emitted by Japanese Hanging Bells,”Memoris of the Coll. of Sci. Univ. Ser. A. Vol. 15.Google Scholar
  17. Yamashita, K. and Aoki, I. 1948, “The Effect of the Length on Frequency of Sound Emitted by a Circular Cylinder with a Hemispherical Cap,”Memoirs, Y., Proc. Physics-Math, Soc., Japan 16, 94, 293, 1942,Proc. Phys. Soc., Japan, 2, 185, 3, 26,Google Scholar
  18. Yum, Y. H. and Kim, S. H., 1981. “Study on The Bell Structure,”Korean Bell Structure Report, Bum Jong, No. 4, pp. 55–68Google Scholar
  19. Yum, Y. H., Kwak, J. K. and Chang, S. C., 1982, “A Study on the Natural Frequencies of Sound Emitted by Thin Conical Shells,”KSME Trans., Vol. 6, No. 4, pp. 353–360Google Scholar
  20. Yum, Y. H., Lee, J. M. and Kwak, J. K., 1984 “A Study on The Natural Frequencies and Stress Analysis of a Cylindrical Shell,”Korean Bell Study Report, Bum Jong, No. 3, pp. 19–30Google Scholar
  21. Yum, Y. H., Lee, Y. B. and Chung, S. C., 1982, “A Study on The Structure of Korean Bell”Korean Bell Study Report, No. 5, pp. 45–60Google Scholar

Copyright information

© The Korean Society of Mechanical Engineers (KSME) 1997

Authors and Affiliations

  • Suk Choo Chung
    • 1
  • Chang Duk Kong
    • 2
  1. 1.Seoul National Polytechnic UniversityKorea
  2. 2.Chosun UniversityKorea

Personalised recommendations