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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

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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.

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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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Authors and Affiliations

  1. DICAM Department, University of Bologna, Viale del Risorgimento 2, 40136, Bologna, Italy

    Nicholas Fantuzzi, Francesco Tornabene & Erasmo Viola

  2. Faculdade de Engenharia da Universidade do Porto, Porto, Portugal

    A. J. M. Ferreira

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    A. J. M. Ferreira

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  1. Nicholas Fantuzzi
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  2. Francesco Tornabene
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  3. Erasmo Viola
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  4. A. J. M. Ferreira
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Corresponding author

Correspondence to Francesco Tornabene.

Additional information

Preliminary results were presented by the authors at the XXI° National Conference of Italian Association of Theoretical and Applied Mechanics (AIMETA 2013)

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Fantuzzi, N., Tornabene, F., Viola, E. et al. 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. Meccanica 49, 2503–2542 (2014). https://doi.org/10.1007/s11012-014-0014-y

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