Discrete singular convolution method for the analysis of Mindlin plates on elastic foundations

Civalek O., Acar M. H.

INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, cilt.84, sa.9, ss.527-535, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 84 Sayı: 9
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.ijpvp.2007.07.001
  • Dergi Adı: INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.527-535
  • Anahtar Kelimeler: discrete singular convolution, Mindlin plate, bending, Pasternak foundations, Winkler foundation, FREE-VIBRATION ANALYSIS, RECTANGULAR-PLATES, CONICAL SHELLS, ALGORITHM
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The method of discrete singular convolution (DSC) is used for the bending analysis of Mindlin plates on two-parameter elastic foundations for the first time. Two different realizations of singular kernels, such as the regularized Shannon's delta (RSD) kernel and Lagrange delta sequence (LDS) kernel, are selected as singular convolution to illustrate the present algorithm. The methodology and procedures are presented and bending problems of thick plates on elastic foundations are studied for different boundary conditions. The influence of foundation parameters and shear deformation on the stress resultants and deflections of the plate have been investigated. Numerical studies are performed and the DSC results are compared well with other analytical solutions and some numerical results. (C) 2007 Elsevier Ltd. All rights reserved.