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

Ali Alnujaie, Ahmed A. Daikh, Mofareh H. Ghazwani, Amr E. Assie and Mohamed A Eltaher

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.

Key Words

coated nanoplates; four variable higher-order shear deformation theory; nonlocal strain gradient theory; vibration response; viscoelastic foundation

Address

Ali Alnujaie and Mofareh H. Ghazwani: Department of Mechanical Engineering, College of Engineering and Computer Sciences, Jazan University, P.O Box 45124, Jazan, Saudi Arabia/ Engineering and Technology Research Center, P.O. Box 114, Jazan 82817, Saudi Arabia Ahmed A. Daikh: Artificial Intelligence Laboratory for Mechanical and Civil Structures and Soil, University Centre of Naama, P.O. Box 66, Naama 45000, Algeria/ Laboratoire d'Etude des Structures et de Mécanique des Matériaux, Département de Génie Civil, Faculté des Sciences et de la Technologie, Université Mustapha Stambouli B.P. 305, R.P.29000 Mascara, Algérie Amr E. Assie: Department of Mechanical Engineering, College of Engineering and Computer Sciences, Jazan University, P.O Box 45124, Jazan, Saudi Arabia/ Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, Zagazig 44519, Egypt Mohamed A Eltaher: Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia/ Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, Zagazig 44519, Egypt

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