A four-node discrete singular convolution for geometric transformation and its application to numerical solution of vibration problem of arbitrary straight-sided quadrilateral plates

Civalek O.

APPLIED MATHEMATICAL MODELLING, cilt.33, sa.1, ss.300-314, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.apm.2007.11.003
  • Dergi Adı: APPLIED MATHEMATICAL MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.300-314
  • Anahtar Kelimeler: Discrete singular convolution, Geometric mapping, Plate, Free vibration, DIFFERENTIAL QUADRATURE METHOD, FOKKER-PLANCK EQUATION, THICK SKEW PLATES, DSC-RITZ METHOD, RECTANGULAR-PLATES, INTERNAL SUPPORTS, REISSNER/MINDLIN PLATES, BOUNDARY-CONDITIONS, FLEXURAL VIBRATION, MINDLIN PLATES
  • Akdeniz Üniversitesi Adresli: Evet

Özet

A four-node discrete singular convolution (DSC) method is developed for free vibration analysis of arbitrary straight-sided quadrilateral plates. The straight-sided quadrilateral domain is mapped into a square domain in the computational space using a four-node element. By using the geometric transformation, the governing equations and boundary conditions of the plate are transformed from the physical domain into a square Computational domain. Numerical examples illustrating the accuracy and convergence of the DSC method for skew, trapezoidal, rhombic and arbitrary quadrilateral plates are presented. The results obtained by DSC method were compared with those obtained by the other numerical methods. (C) 2007 Elsevier Inc. All rights reserved.