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Meccanica

, Volume 49, Issue 10, pp 2503–2542 | Cite as

A strong formulation finite element method (SFEM) based on RBF and GDQ techniques for the static and dynamic analyses of laminated plates of arbitrary shape

  • Nicholas Fantuzzi
  • Francesco Tornabene
  • Erasmo Viola
  • A. J. M. Ferreira
Article

Abstract

This paper deals with the static and dynamic analyses of multi-layered plates with discontinuities. The two-dimensional first-order shear deformation theory is used to derive the fundamental system of equations in terms of generalized displacements. The fundamental set, with its boundary conditions, is solved in its strong form. A new method termed strong formulation finite element method is considered in the present paper to solve this kind of plates. This numerical methodology is the cohesion of derivative evaluation of partial differential systems of equations and a domain sub-division. The numerical results in terms of natural frequencies and maximum deflections are compared to literature and to the same results obtained with a finite element code. The stability, accuracy and reliability of the present methodology is shown through several numerical applications.

Keywords

Radial basis functions Generalized differential quadrature Spectral element method First-order shear deformation theory Laminated composite plates 

Notes

Acknowledgments

The research topic is one of the subjects of the Center of Study and Research for the Identification of Materials and Structures (CIMEST)-“M. Capurso” of the University of Bologna (Italy).

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Nicholas Fantuzzi
    • 1
  • Francesco Tornabene
    • 1
  • Erasmo Viola
    • 1
  • A. J. M. Ferreira
    • 2
    • 3
  1. 1.DICAM DepartmentUniversity of BolognaBolognaItaly
  2. 2.Faculdade de Engenharia da Universidade do PortoPortoPortugal
  3. 3.Department of Mathematics, Faculty of ScienceKing Abdulaziz UniversityJeddahSaudi Arabia

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