Effects of polymer’s viscoelastic properties and curved shape of the CNTs on the dynamic response of hybrid nanocomposite beams

Abstract

Carbon nanotube (CNT)-reinforced polymer nanocomposites have excellent stiffness, strength and viscoelastic nature due to the time-dependent properties of the polymers. Hence, adequate knowledge about their rheological behavior is required to use such nanomaterials in designing aerospace structures. The present paper gives an account of the time dependency of the polymer and curvy shape of the CNTs while tracking the vibrational responses of multiscale hybrid nanocomposites. A combination of the modified Halpin–Tsai model and mixture’s rule is used for the homogenization process. According to the dynamic form of the virtual work’s principle, the governing equations will be attained based on a refined shear deformable beam theorem. In addition, Galerkin’s analytical solution is implemented to extract the system’s natural frequency for supported and clamped beams. The findings of this paper indicate that vibration suppression in the nanocomposite structures can be delayed if a high value is assigned to the polymer’s relaxation time. Besides, it is illustrated that hybrid nanocomposites consisting of wavy CNTs cannot provide ideal frequencies related to the nanocomposites manufactured from straight CNTs.