Forced Vibration of Polymeric Reddy Plate Reinforced with GPL/CNT/GOri Face Sheets and Honeycomb Cores by Considering Thermo-Electro-Magneto-Mechanical Preloads

Abstract

Given the electro-mechanical characteristics of carbon nanostructures and their use in smart materials and engineering design, these materials have garnered significant scientific interest. Moreover, due to the advancement of human civilization, several activities require durable and intelligent materials. Thus, this work examines the vibration behavior of polymer plates using the modified strain gradient theory (MSGT), which considers electro-magnetic mechanical thermal preloads. The governing equations of the motion based on Reddy polymer plate are derived by incorporating Hamilton's principle and MSGT. Moreover, the microplate's frequency is determined by applying Navier's semi-analytical technique. The novelty of the present work is to investigate three types of nanoparticles in face sheets, including graphene platelets (GPL), carbon nanotubes (CNT), and graphene origami (GOri), and two types of honeycomb cores with positive and negative Poisson's ratio on the natural frequency of the sandwich plates until the sandwich structure with more stiffness is chosen to use in different industries. The findings indicate that the sandwich structure, consisting of a honeycomb core with a positive Poisson's ratio and a face sheet reinforced by GPL reinforcement, exerts the greatest influence on the stiffness and the frequency of the sandwich plate. Furthermore, thermal and electrical preloads reduce the frequency, whereas magnetic and compressive axial preloads raise it. Furthermore, in the structure strengthened with GOir, the natural frequency decreases as the temperature, atom coverage ratio (HGr), and increase. The influence of GPL on frequency surpasses that of other reinforcement, and the impact of a honeycomb core with a positive Poisson ratio surpasses that of another case. Furthermore, the frequency of the honeycomb core rises as the angle () and size ratio () of the cell dimensions increase.