Free Vibration of MEE Plate with Honeycomb Core Subjected to Thermomechanical Loads

Abstract

Purpose: This paper examines the vibration buckling of a sandwich nanoplate. The top and bottom layers are piezoelectric Barium Titanate (BaTiO3) and Cobalt Ferrite (CoFe2O4), while the core is a metal (Ti6Al4V) honeycomb. Methods: Nonlocal strain gradient elasticity and sinusoidal higher-order deformation theories were applied. The sandwich nanoplate’s motion equations were calculated using Hamilton’s principle and the piezoelectric surface plates’ magnetostrictive, electroelastic, and thermal properties. Next, Navier equations were solved. The study considered the geometric properties of the honeycomb-shaped core of the sandwich nanoplate, its nonlocal characteristics, temperature change, and the effects of electric and magnetic potentials. The study aimed to examine the sandwich nanoplate’s dimensionless fundamental natural frequencies. Results: Considering the given context, the natural frequencies decrease significantly when the temperature difference is applied to the sandwich nanoplate, which has a metal honeycomb structure at its core. Vibration buckling takes place at around 1980 K. In addition, when the thickness ratio of the honeycomb structure is increased, the natural frequencies decrease, whereas they increase with an increase in the edge ratio. Conclusion: This research presents innovative findings regarding the creation and utilization of nanosensors, transducers, and nanoelectromechanical systems (NEMS) engineered for high-temperature environments, enhancing the current state-of-the-art in nanoscale-free vibration analysis.