Vibration of coated functionally graded graphene-reinforced composite doubly curved shells

Emad Esmat Ghandourah, Ahmed Amine Daikh, Khatir Samir, Abdulsalam Alhawsawi, Essam Mohammed Banoqitah and Mohamed A. Eltaher

Abstract

The progress of theoretical research presents several difficulties, especially concerning the modeling of structures, unlike experimental research into the mechanical behavior of intricate systems. The objective of this study is to examine the free vibration characteristics of a novel composite structure known as functionally graded (FG) graphene-reinforced composite (GRC) coated shells. The material graduation is described by a complex power law function using a spatial variation of material properties, and the investigation focuses on coated FG shells with Hardcore and Softcore. Five patterns of GPLs distribution are considered in the study. These include a tridirectionally material distribution pattern (FG-A GRC), two bidirectional material distribution patterns (FG-B GRC and FG-C GRC), unidirectional transverse material distribution (FG-D GRC), and unidirectional axial material distribution (FG-E GRC). The governing equations are derived using the Principle of Hamilton and solved via the Galerkin technique, accounting for different boundary conditions. The paper details the impact of various factors, including hardcore and softcore distributions, gradation indexes, nonlocal and length-scale parameters, and boundary conditions on the frequencies of FG GRC-coated shells.

Key Words

free vibration; functionally graded materials; Galerkin technique; graphene reinforced composite; hardcore/softcore

Address

Emad Esmat Ghandourah: Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia Ahmed Amine 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 Khatir Samir: Faculty of Civil Engineering, Ho Chi Minh City Open University, Ho Chi Minh City, Vietnam Abdulsalam Alhawsawi: Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia Essam Mohammed Banoqitah: Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi Arabia 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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