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Discrete singular convolution method and applications to free vibration analysis of circular and annular plates

  • Civalek, Omer (Division of Mechanics, Civil Engineering Department, Faculty of Engineering, Akdeniz University)
  • Received : 2006.09.12
  • Accepted : 2007.08.17
  • Published : 2008.05.30

Abstract

Keywords

References

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  2. Blevins, R.D. (1984), Formulas for Natural Frequency and Mode Shapes. Malabur-Florida: Robert E. Krieger
  3. Civalek, O. (1998), Finite Element Analyses of Plates and Shells. Elazi : F rat University, (in Turkish)
  4. Civalek, O. (2004), "Application of Differential Quadrature (DQ) and Harmonic Differential Quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns", Eng. Struct., 26(2), 171-186 https://doi.org/10.1016/j.engstruct.2003.09.005
  5. Du, H., Lim, M.K. and Lin, R.M. (1995), "Application of generalized differential quadrature method to vibration analysis", J. Sound Vib., 181(2), 279-293 https://doi.org/10.1006/jsvi.1995.0140
  6. Leissa, A.W. (1969), Vibration Analysis of Plates. NASA, SP-160
  7. Lim, C.W., Li, Z.R. and Wei, G.W. (2005), "DSC-Ritz method for high-mode frequency analysis of thick shallow shells", Int. J. Numer. Meth. Eng., 62, 205-232 https://doi.org/10.1002/nme.1179
  8. Vogel, S.M. and Skinner, D.W. (1965), "Natural frequencies of transversely vibrating uniform annular plates", J. Appl. Mech., 32, 926-931 https://doi.org/10.1115/1.3627337
  9. Wei, G.W. (2001), "A new algorithm for solving some mechanical problems", Comput. Meth. Appl. Mech. Eng., 190, 2017-2030 https://doi.org/10.1016/S0045-7825(00)00219-X

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