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Flexural Free Vibration Analysis of Axisymmetric Annular Plates Using Sylvester-Transfer Stiffness Coefficient Method

실베스터-전달강성계수법을 이용한 축대칭 환원판의 굽힘 자유진동 해석

  • Choi, Myung-Soo (Department of Maritime Police Science, Chonnam National University) ;
  • Kondou, Takahiro (Department of Mechanical Engineering, Kyushu University) ;
  • Byun, Jung-Hwan (Faculty of Marine Technology, Chonnam National University) ;
  • Yeo, Dong-Jun (Faculty of Marine Technology, Chonnam National University)
  • Received : 2015.08.21
  • Accepted : 2015.11.16
  • Published : 2015.12.31

Abstract

While designing and operating machines, it is very important to understand the dynamic characteristic of the machines. Authors developed the Sylvester-transfer stiffness coefficient method in order to analyze effectively the free vibration of machines or structures. The Sylvester-transfer stiffness coefficient method was derived from the combination of the Sylvester's inertia theorem and the transfer stiffness coefficient method. In this paper, the authors formulate the computational algorithm for flexural free vibration analysis of axisymmetric annular plate using the Sylvester-transfer stiffness coefficient method. To confirm the usefulness of the Sylvester-transfer stiffness coefficient method, the natural frequencies and modes for two computational models computed using the Sylvester-transfer stiffness coefficient method are compared with those computed using the exact solution and the finite element method.

Keywords

References

  1. T. R. Chandrupatla and A. D. Belegundu, 2012, "Introduction to Finite Elements in Engineering (4th Edition)", Pearson, England.
  2. A. Tesar and L. Fillo, 1988, "Transfer Matrix Method", Kluwer Academic Publishers, Czechoslovakia.
  3. D. J. Yeo and M. S. Choi, 2013, "Development of Vibration Analysis Algorithm for Joined Conical-cylindrical Shell Structures using Transfer of Influence Coefficient", Journal of the Korean Society for Power System Engineering, Vol. 17, No. 1, pp. 50-57.
  4. M. S. Choi, D. J. Yeo, J. H. Byun, J. J. Suh and J. K. Yang, 2007, "In-Plane Vibration Analysis of General Plates", Journal of the Korean Society for Power System Engineering, Vol. 11, No. 4, pp. 78-85.
  5. 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
  6. C. Y. Wang and C. M. Wang, 2014, "Structural Vibration (Exact Solutions for Strings, Membranes, Beams, and Plates)", CRC Press, New York, pp. 157-160.
  7. M. J. Kim, J. Chung and J. M. Lee, 2000, "Development of a Finite Element for Vibration Analysis of an Annular Plate with Slight Deviation", Journal of the Korean Society for Noise and Vibration Engineering, Vol. 10, No. 2, pp. 361-366.
  8. J. W. Demmel, 1997, "Applied Numerical Linear Algebra", SIAM, Philadelphia, pp. 202.

Cited by

  1. Torsional Free Vibration Analysis of Propulsion Shafting of Training Ship SAEDONGBAEK by Sylvester-Transfer Stiffness Coefficient Mehtod vol.22, pp.6, 2018, https://doi.org/10.9726/kspse.2018.22.6.011