Discrete singular convolution methodology for free vibration and stability analyses of arbitrary straight-sided quadrilateral plates

Civalek O.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, cilt.24, sa.11, ss.1475-1495, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 11
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1002/cnm.1046
  • Dergi Adı: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1475-1495
  • Anahtar Kelimeler: discrete singular convolution, buckling, free vibration, geometric mapping, plate, skewed, trapezoidal, quadrilateral domain, DIFFERENTIAL QUADRATURE METHOD, THICK SKEW PLATES, CHARACTERISTIC ORTHOGONAL POLYNOMIALS, FOKKER-PLANCK EQUATION, DSC-RITZ METHOD, RECTANGULAR-PLATES, FLEXURAL VIBRATION, INTERNAL SUPPORTS, REISSNER/MINDLIN PLATES, BOUNDARY-CONDITIONS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

A new discrete singular convolution (DSC) method is developed for vibration, buckling and static analyses 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 trans formation, 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 straight-sided quadrilateral thin plates Such as rectangular, skew, trapezoidal and rhombic plates are presented. The results obtained by the DSC method were compared with those obtained by the other numerical and analytical methods. Copyright (C) 2007 John Wiley & Sons, Ltd.