Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

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
⟨ Previous Next ⟩

Abstract

Keywords

References

  1. Bert, C.W., Wang, Z. and Striz, A.G. (1994), "Static and free vibrational analysis of beams and plates by differential quadrature method", Acta Mechanica, 102, 11-24 https://doi.org/10.1007/BF01178514
  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

Cited by

  1. A Fourier error analysis for radial basis functions and the Discrete Singular Convolution on an infinite uniform grid, Part 1: Error theorem and diffusion in Fourier space vol.264, 2015, https://doi.org/10.1016/j.amc.2015.04.075
  2. Three-dimensional Elasticity Analysis of Rectangular Composite Plates vol.44, pp.17, 2010, https://doi.org/10.1177/0021998310369600
  3. Free vibration analysis of circular thin plates with stepped thickness by the DSC element method vol.85, 2014, https://doi.org/10.1016/j.tws.2014.07.010
  4. Effect of radial reaction force on the bending of circular plates resting on a ring support vol.119, 2016, https://doi.org/10.1016/j.ijmecsci.2016.10.014
  5. Frequency Equations for the In-Plane Vibration of Circular Annular Disks vol.2010, 2010, https://doi.org/10.1155/2010/501902
  6. Dynamic response of functionally graded annular/circular plate in contact with bounded fluid under harmonic load vol.65, pp.5, 2018, https://doi.org/10.12989/sem.2018.65.5.523
  7. A Review on the Discrete Singular Convolution Algorithm and Its Applications in Structural Mechanics and Engineering vol.27, pp.5, 2008, https://doi.org/10.1007/s11831-019-09365-5