Tuning damping and dynamic response of smart MR cylindrical composite panels based on a higher-order shear deformation theory

Abstract

This study delves into the dynamic analysis of magnetorheological elastomer composite (MREC) cylindrical panels with laminated construction. Magnetorheological elastomers (MREs) are viscoelastic materials that exhibit tunable properties when subjected to magnetic fields. By incorporating reinforcing fibers, a new class of materials, MRE Composites (MRECs), is formed, which not only inherits MRE properties but also enhances rigidity. The novelty of the present study resides in its comprehensive exploration of the vibration and damping characteristics inherent in deep laminated cylindrical shells composed of MRECs. The homogenization of this composite media is performed by employing the modified rule of mixture and Halpin-Tsai micromechanical rule. To achieve this, the Mechab theory, utilizing a high-order hyperbolic function, approximates the displacement field. The study employs the generalized Maxwell's constitutive model to describe the viscoelastic behavior of MRECs, and Hamilton's principle is used to derive the partial differential form of vastly coupled equations of motion. The 2-dimensional Chebyshev collocation method, a discretization method, is applied to solve these equations, allowing the determination of natural frequencies and loss factors. The investigation covers various parameters, including magnetic field strength, volume fraction of reinforcers, layering, and fiber angles, geometry, and boundary conditions, to understand their influence on the dynamic response of MREC cylindrical panels. The results provide valuable insights into the potential applications of these tunable materials in adjustable dynamic and damping systems, contributing to advancements in solid mechanics and materials engineering. Such knowledge opens up new possibilities for utilizing MRECs in diverse technological applications.