Nonlinear Vibration of FG Graphene Origami Auxetic Sandwich Plate Including Smart Hybrid Nanocomposite Sheets
Publication: Journal of Engineering Mechanics
Volume 150, Issue 4
Abstract
Negative Poisson’s ratio (NPR) auxetic metamaterials are attracting significant attention because of their peculiar and interesting mechanical features. Using geometrically von-Karman nonlinear factors and Mindlin plate theory, a smart multiscale hybrid (GPL/CF/PVDF) sandwich plate with a unique two-type functionally graded graphene origami auxetic (FG-GOA) is investigated here for its nonlinear vibrational behavior. The present properties of the electro-elastic layers were established using the Halpin–Tsai (HT) model and rule of mixing (ROM). Hamilton’s principle, Maxwell’s law, and the nonlinear factors of von Karman are used to determine the governing equations for the piezo plate. The subsequent step is to use the generalized differential quadrature (GDQ) technique to discretize the equations of motion for the sandwich plate. Results show that smart FG-GOA plates exhibit hardening nonlinearity. Nonlinear ratios of frequencies and natural frequency of the intelligent plate are also measured by electric voltage, the weight fraction of GPL, and the volume fraction of carbon fibers. Furthermore, the effect of the porosity coefficient, GOri folding degree, the FG-GOA core height, and the smart hybrid nanocomposite (SHNC) layer’s height on frequency ratio and nonlinear natural frequency were calculated and displayed for each figure.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request.
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Journal of Engineering Mechanics
Volume 150 • Issue 4 • April 2024
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© 2024 American Society of Civil Engineers.
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Received: May 29, 2023
Accepted: Nov 9, 2023
Published online: Jan 31, 2024
Published in print: Apr 1, 2024
Discussion open until: Jun 30, 2024
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