Application of differential quadrature (DQ) and harmonic differential quadrature (HDQ) for buckling analysis of thin isotropic plates and elastic columns


Civalek O.

ENGINEERING STRUCTURES, vol.26, no.2, pp.171-186, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1016/j.engstruct.2003.09.005
  • Journal Name: ENGINEERING STRUCTURES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.171-186
  • Keywords: harmonic differential quadrature, plates and columns, buckling, curvilinear domain, numerical method, 3-DIMENSIONAL VIBRATION ANALYSIS, RECTANGULAR-PLATES, STRUCTURAL COMPONENTS, ELEMENT METHOD, SKEW PLATES, STATIC ANALYSIS, EQUATIONS, ACCURACY, BEAMS
  • Dokuz Eylül University Affiliated: No

Abstract

The main purpose of this study is to compare the methods of differential quadrature (DQ) and harmonic differential quadrature (HDQ). For this purpose, DQ and HDQ methods are presented for buckling, bending, and free vibration analysis of thin isotropic plates and columns. Plates of different shapes such as rectangular, circular, square, skew, trapezoidal, annular, and sectorial plate subjected to different boundary conditions are selected to demonstrate the accuracy of the method. Four different support conditions are taken into consideration for columns. Numerical results are presented to illustrate the method and demonstrate its efficiency. It is emphasized that the HDQ method gives more accurate results and needs less grid points than the DQ method. (C) 2003 Elsevier Ltd. All rights reserved.