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A non-polynomial four variable refined plate theory for free vibration of functionally graded thick rectangular plates on elastic foundation

  • Meftah, Ali (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Bakora, Ahmed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Zaoui, Fatima Zohra (Laboratoire de Modelisation Numerique et Experimentale des Phenomenes Mecaniques, Faculty of Sciences and Technology, Departement de Genie Mecanique, University Abdelhamid Ibn Badis of Mostaganem) ;
  • Tounsi, Abdelouahed (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department) ;
  • Bedia, El Abbes Adda (Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department)
  • Received : 2016.04.21
  • Accepted : 2017.01.08
  • Published : 2017.02.28
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Abstract

This paper presents a free vibration analysis of plates made of functionally graded materials and resting on two-layer elastic foundations by proposing a non-polynomial four variable refined plate theory. Undetermined integral terms are introduced in the proposed displacement field and unlike the conventional higher shear deformation theory (HSDT), the present one contains only four unknowns. Equations of motion are derived via the Hamilton's principles and solved using Navier's procedure. Accuracy of the present theory is demonstrated by comparing the results of numerical examples with the ones available in literature.

Keywords

References

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