Geometrically nonlinear dynamic analysis of doubly curved isotropic shells resting on elastic foundation by a combination of harmonic differential quadrature-finite difference methods

Civalek O.

INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING, cilt.82, sa.6, ss.470-479, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 82 Sayı: 6
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.ijpvp.2004.12.003
  • Dergi Adı: INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.470-479
  • Anahtar Kelimeler: nonlinear dynamic analysis, shells, harmonic differential quadrature, Winkler-Pasternak elastic foundation, FREE-VIBRATION ANALYSIS, SHALLOW SHELLS, CYLINDRICAL-SHELLS, RECTANGULAR PLANFORM, CIRCULAR PLATES, ORDER THEORY, STABILITY, HDQ
  • Akdeniz Üniversitesi Adresli: Evet

Özet

The nonlinear dynamic response of doubly curved shallow shells resting on Winkler-Pasternak elastic foundation has been studied for step and sinusoidal loadings. Dynamic analogues of Von Karman-Donnel type shell equations are used. Clamped immovable and simply supported immovable boundary conditions are considered. The governing nonlinear partial differential equations of the shell are discretized in space and time domains using the harmonic differential quadrature (HDQ) and finite differences (FD) methods, respectively. The accuracy of the proposed HDQ-FD coupled methodology is demonstrated by numerical examples. The shear parameter G of the Pasternak foundation and the stiffness parameter K of the Winkler foundation have been found to have a significant influence on the dynamic response of the shell. It is concluded from the present study that the HDQ-FD methodolgy is a simple, efficient, and accurate method for the nonlinear analysis of doubly curved shallow shells resting on two-parameter elastic foundation. (c) 2005 Elsevier Ltd. All rights reserved.