Journal of Power System Engineering (동력기계공학회지)

The Korean Society for Power System Engineering (한국동력기계공학회)
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Free Vibration Analysis of Axisymmetric Cylindrical Shell by Sylvester-Transfer Stiffness Coefficient Method

실베스터-전달강성계수법에 의한 축대칭 원통형 셸의 자유진동 해석

  • Choi, Myung-Soo (Department of Maritime Police Science, Chonnam National University) ;
  • Yeo, Dong-Jun (Faculty of Marine Technology, Chonnam National University)
  • 최명수 (전남대학교 해양경찰학과) ;
  • 여동준 (전남대학교 해양기술학부)
  • Received : 2012.08.31
  • Accepted : 2012.10.26
  • Published : 2013.04.30
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Abstract

In this paper, the computational algorithm for free vibration analysis of an axisymmetric cylindrical shell is formulated by the Sylvester-transfer stiffness coefficient method (S-TSCM) which combines the Sylvester's inertia theorem and the transfer stiffness coefficient method. After the computational programs for obtaining the natural frequencies and natural modes of the axisymmetric cylindrical shell are made by the S-TSCM and the finite element method (FEM), the computational results which are natural frequencies, natural modes, and computational times by both methods are compared. From the computational results, we can confirm that S-TSCM has the reliability in the free vibration analysis of the axisymmetric cylindrical shell and is superior to FEM in the viewpoint of computational times.

Keywords

References

  1. K. Suzuki et al., 1996, "Introduction to Vibrations of Shells", Corona Publishing Co., Tokyo, pp. 167-175.
  2. D. J. Yeo, 1996, "Vibration Analysis of Plate and Shell Structures by Transfer Influence Coefficient Method", Doctoral Thesis, National Fisheries University of Pusan, pp. 120-158.
  3. T. Irie, G. Yamada and Y. Muramoto, 1983, "Free Vibration of a Circular Cylindrical Shell Elastically Restrained by Axially Spaced Springs", ASME Journal of Applied Mechanics, Vol. 50, No. 3, pp. 544-548. https://doi.org/10.1115/1.3167088
  4. D. H. Moon and M. S. Choi, 1999, "Vibration Analysis of Structures Having Various Connection Parts Using Transfer of Stiffness Coefficient", Transactions of the KSME (A), Vol. 23, No. 2, pp. 344-356.
  5. D. H. Moon and M. S. Choi, 2000, "Vibration Analysis for Frame Structures Using Transfer of Dynamic Stiffness Coefficient", Journal of Sound and Vibration, Vol. 234, No. 5, pp. 725-736. https://doi.org/10.1006/jsvi.1999.2970
  6. M. S. Choi, 2003, "Free Vibration Analysis of Plate Structures Using Finite Element-Transfer Stiffness Coefficient Method", Journal of Mechanical Science and Technology, Vol. 17, No. 6, pp. 805-815.
  7. J. Kiusalaas, 2005, "Numerical Methods in Engineering with MATLAB", Cambridge University Press, Cambridge, pp. 146-149.
  8. M. S. Choi, T. Kondou and Y. Bonkobara, 2012, "Development of Free Vibration Analysis Algorithm for Beam Structures by Combining Sylvester's Inertia Theorem and Transfer Stiffness Coefficient Method", Journal of Mechanical Science and Technology, Vol. 26, No. 1, pp. 11-19. https://doi.org/10.1007/s12206-011-0914-x
  9. C. T. F. Ross, 1984, "Finite Element Programs for Axisymmetric Problems in Engineering", Ellis Horwood Limited, Chichester, pp. 105-115.
  10. A. Sueoka et al., 1998, "A Method of Vibrational Analysis Using a Personal Computer", The Memoirs of the Faculty of Engineering, Kyushu University, Vol. 48, No. 1, pp. 31-46.
  11. J. W. Demmel, 1997, "Applied Numerical Linear Algebra", SIAM, Philadelphia, p. 202.
  12. http://www.mathworks.com.

Cited by

  1. Dynamic Response Analysis of Cylindrical Shell with Axisymmetric Loading vol.17, pp.6, 2013, https://doi.org/10.9726/kspse.2013.17.6.033