Structural Engineering and Mechanics

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Dynamic response of imperfect functionally graded plates: Impact of graded patterns and viscoelastic foundation

  • Hafida Driz (Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes) ;
  • Amina Attia (Department of Civil Engineering and Public Works, Engineering and Sustainable Development Laboratory, Faculty of Science and Technology, University of Ain Temouchent) ;
  • Abdelmoumen Anis Bousahla (Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes) ;
  • Farouk Yahia Addou (Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes) ;
  • Mohamed Bourada (Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes) ;
  • Abdeldjebbar Tounsi (Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes) ;
  • Abdelouahed Tounsi (Material and Hydrology Laboratory, Civil Engineering Department, Faculty of Technology, University of Sidi Bel Abbes) ;
  • Mohammed Balubaid (Department of Industrial Engineering, King Abdulaziz University) ;
  • S.R. Mahmoud (GRC Department, Applied College, King Abdulaziz University)
  • Received : 2024.06.28
  • Accepted : 2024.08.23
  • Published : 2024.09.25
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Abstract

This study presents a methodical investigation into improving structural designs through the analytical examination of the dynamic behavior of functionally graded plates (FGPs) resting on viscoelastic foundations. By employing a four variable first-order shear deformation theory, the study computes non-dimensional frequencies for a variety of porous FGPs with diverse graded patterns and porosity distributions. Different gradient patterns of the plates are considered, and three distinct functions-sigmoid (S-FGM), exponential (E-FGM), and power-law (P-FGM)-are utilized to assess material performance in specific directions. The equations of motion are derived and solved using both Navier's method and Hamilton's principle. Analytical solutions for vibration frequency are provided to validate the proposed methodology against existing literature. Furthermore, a comprehensive parametric analysis is conducted, taking into account various factors such as ceramic material, porosity distribution, gradient index, length-to-thickness ratio, gradient pattern, and damping coefficient. The findings suggest that enhancing the damping coefficient of the viscoelastic foundation can significantly improve the free-vibrational response of functionally graded material plates.

Keywords

Acknowledgement

This research work was funded by Institutional Fund Projects under grant no. (IFPIP_ 1578-135-1443). Therefore, the authors gratefully acknowledge technical and financial support from the Ministry of Education and King Abdulaziz University, Jeddah, Saudi Arabia.

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