Effect of Magnetic Field on Vibration of Electrorheological Fluid Nanoplates with FG‑CNTRC Layers

Abstract

Background: Functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) have attracted significant attention in the field of structural engineering due to their unique mechanical properties. Objective: In this study, the free vibration of a functionally graded carbon nanotube-reinforced composite sandwich nanoplate with an electrorheological fluid (ERF) layer as its core under a longitudinal magnetic field is examined using the nonlocal elasticity theory. Results: A comparison with some other item of existing literature is used to evaluate the established solution's accuracy and correctness. The obtained results demonstrate the dependency of the vibration behavior on the aforementioned factors. Specifically, the influences of electric field strength, boundary conditions, magnetic field intensity, volume fraction of carbon nanotubes (CNTs), CNTs distribution, and nonlocal parameter are comprehensively analyzed through a parametric study. Methods: The governing equations are derived based on Hamilton's principle and solved using the Galerkin technique. While the continuity of physical quantities is required between all layers, the rule of mixing allows us to analyze the distribution of characteristics in this system's thickness direction. Changing the electric field also alters the ERF parameters in the pre-yield region. The developed mathematical model incorporates the nonlocal elasticity theory and the third-order shear deformation theory (TSDT) for different boundary conditions. Conclusion: The findings contribute to a better understanding of the dynamic response of such composite structures and can aid in their optimal design for various engineering applications.