Coupled systems mechanics

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Effects of changing materials properties for vibration of FGM beam using integral shear deformation model

  • Mokhtar Ellali (Smart Structures Laboratory, University of Ain Temouchent-Belhadj Bouchaib) ;
  • Mashhour A. Alazwari (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Mokhtar Bouazza (Department of Civil Engineering, University Tahri Mohammed of Bechar) ;
  • Mohamed A. Eltaher (Mechanical Design and Production Department, Faculty of Engineering, Zagazig University) ;
  • Noureddine Benseddiq (Mechanics Laboratory of Lille, CNRS UMR 8107, University of Lille 1)
  • Received : 2024.02.24
  • Accepted : 2024.05.13
  • Published : 2024.08.25
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Abstract

The objective of this work is to study the effects of the modification of material properties on the vibration of the FGM beam using an integral shear strain model. In the present theory, the rotational displacement is replaced by an integral term in the displacement fields. The use of a shear correction factor is not necessary because our model gives a parabolic description of shear stress through the thickness while satisfying the conditions of zero shear stresses on the bottom and top surfaces of the beam. The FGM beam is assumed that the beam is a mixture of metal and ceramic, and that its properties change depending on the power functions of the thickness of the beam such as: linear, quadratic, cubic and inverse quadratic. By applying Hamilton's principle, general formulas were obtained to obtain the frequencies of the FGM beam. The effects of changing compositional characteristics of materials presented by volume fraction of FGM beams with simply supported edges on free vibration and some mode shapes are investigated.

Keywords

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