Three-dimensional flutter analysis of a novel circular sandwich plate employing hyperbolic shear deformation theory

Abstract

Magnetorheological elastomers (MREs) Characterize a category of intelligent materials renowned for their distinct responsiveness to external magnetic fields, demonstrating swift alterations in their mechanical and rheological characteristics. The amalgamation of graphene platelets (GPLs) with MREs, termed GPL-reinforced MRE (GPL-MRE), heralds a novel material category imbued with the adaptive traits of MREs and the structural robustness inherent in GPLs. Such compositional innovation renders this material exceptionally suited for an array of applications across diverse structural frameworks. This research endeavors to scrutinize the flutter boundary of a smart circular sandwich plate featuring a core layer infused with GPL-MRE and variable stiffness composite laminated (VSCL) face layers within the context of supersonic airflow and resting upon a viscoelastic foundation. A novel hyperbolic shear deformation theory is invoked to delineate the displacement field of the sandwich plate. The mechanical properties of the mid-layer are delineated employing the Halpin-Tsai micromechanical methodology. The study probes the effect of supersonic airflow on the structure employing the first-order Piston theory (FPT) in polar coordinates. Hamilton's principle is utilized for deriving the equation of motion governing the structural dynamics in the Finite Element format. Paramount to this investigation is the exploration of assorted parameters and their impact on the flutter occurrence of the structure.