Advances in nano research

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Size-dependent free vibration of coated functionally graded graphene reinforced nanoplates rested on viscoelastic medium

  • Ali Alnujaie (Department of Mechanical Engineering, College of Engineering and Computer Sciences, Jazan University) ;
  • Ahmed A. Daikh (Artificial Intelligence Laboratory for Mechanical and Civil Structures and Soil, University Centre of Naama) ;
  • Mofareh H. Ghazwani (Department of Mechanical Engineering, College of Engineering and Computer Sciences, Jazan University) ;
  • Amr E. Assie (Department of Mechanical Engineering, College of Engineering and Computer Sciences, Jazan University) ;
  • Mohamed A Eltaher (Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University)
  • Received : 2023.04.06
  • Accepted : 2024.08.11
  • Published : 2024.08.25
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Abstract

This study introduces a novel functionally graded material model, termed the "Coated Functionally Graded Graphene-Reinforced Composite (FG GRC)" model, for investigating the free vibration response of plates, highlighting its potential to advance the understanding and application of material property variations in structural engineering. Two types of coated FG GRC plates are examined: Hardcore and Softcore, and five distribution patterns are proposed, namely FG-A, FG-B, FG-C, FG-D, and FG-E. A modified displacement field is proposed based on the higher-order shear deformation theory, effectively reducing the number of variables from five to four while accurately accounting for shear deformation effects. To solve the equations of motion, an analytical solution based on the Galerkin approach was developed for FG GRC plates resting on a viscoelastic Winkler/Pasternak foundation, applicable to various boundary conditions. A comprehensive parametric analysis elucidates the impact of multiple factors on the fundamental frequencies. These factors encompass the types and distribution patterns of the coated FG GRC plates, gradient material distribution, porosities, nonlocal length scale parameter, gradient material scale parameter, nanoplate geometry, and variations in the elastic foundation. Our theoretical research aims to overcome the inherent challenges in modeling structures, providing a robust alternative to experimental analyses of the mechanical behavior of complex structures.

Keywords

Acknowledgement

The authors gratefully acknowledge the funding of the Deanship Graduate Studies and Scientic Research, Jazan University, Saudi Arabia, through project number RG24-M029.

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