Advances in materials Research

  • 제14권2호
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  • Pages.99-123
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  • 2025
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  • 2234-0912(pISSN)
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  • 2234-179X(eISSN)
테크노프레스 (Techno-Press)
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Free vibration analysis of FG plates with volume fraction-dependent porosity

  • Ahmed Amine Daikh (Artificial Intelligence Laboratory for Mechanical and Civil Structures, and Soil, University Centre of Naama ) ;
  • Amine Chergui (Department of Mechanical Engineering, University Centre of Naama ) ;
  • Abdessamed Amara (Department of Mechanical Engineering, University Centre of Naama ) ;
  • Azzedine Brik (Department of Mechanical Engineering, University Centre of Naama ) ;
  • Mohamed Ouejdi Belarbi (Laboratoire de Recherche en Genie Civil, LRGC, Universite de Biskra ) ;
  • Mohamed Sid Ahmed Houari (Laboratoire d'Etude des Structures et de Mecanique des Materiaux, Departement de Genie Civil, Faculte des Sciences et de la Technologie, Universite Mustapha Stambouli ) ;
  • Azza M. Abdraboh (Physics Department, Faculty of science, Benha university ) ;
  • Mohamed A. Eltaher (Faculty of Engineering, Mechanical Engineering Department, King Abdulaziz University)
  • 투고 : 2024.01.13
  • 심사 : 2025.02.12
  • 발행 : 2025.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

This study presents a corrigendum regarding the inclusion of porosity in functionally graded structures.Typically,researchers incorporate the porosity function into the rule of mixture without accounting for specific fabrication steps,which relate to the proportions of the material constituents as represented by the volume fraction.This paper investigates the free vibration of functionally graded plates analytically and proposes a novel approach to porosity inclusion, where the porosity function is directly related to the volume fraction. Tow schemes of porosity are analysed, volume fraction porosity-dependent (VFD) and rule of mixture porosity dependent (RMD). Four types of porosity are proposed, Even, Uneven, linear (1) and linear (2). Based on the generalized field of displacement, a new higher-order shear deformation theory is proposed in this work. The equilibrium equations are performed on the basis of the virtual work principle, and solved by applying Galerkin method to cover various boundary conditions. The influence of the structure geometry, materials combination parameter, type of porosity, and different boundary conditions on the vibration frequency of the FG plate is investigated in detail.

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참고문헌

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