Dynamical behaviors of conveying-fluid nanocomposite toroidal shell segments with piezoelectric layer in thermal environment using the Reddy’s third-order shear deformation shell theory

Abstract

Nonlinear dynamics of the conveying-fluid toroidal shell segments made of functionally graded (FG) graphene nanoplatelets (GNPs) with piezoelectric layers are investigated in this paper. The Halpin-Tsai micromechanical model is used to derive the material properties. The various distribution patterns of the shells are given as the uniform distribution (UD) and functionally graded (FG) reinforcements by modifying the volume fraction of matrix/GNPs in the thickness direction. The fluid flow in the internal shell is mentioned as non-viscous, incompressible, isentropic and irrotational. The governing equations is expressed by using the Reddy's third-order shear deformation shell theory, Von Karman-Donnell geometrical nonlinearity assumption, and combining the internal fluid-flow. Then, the dynamical characteristics of the nanocomposite shells are obtained by applying the Airy's stress function and the Galerkin's method. The calculate programs are written by codes of Wolfram-Mathematica and the obtained results are compared with the previous literatures. In addition, the effects of the thermal environment, GNPs weight fraction, GNPs distribution patterns and geometric parameters are carefully scrutinized. The results can be applied in significant applications of industries engineering as aerospace, civil and mechanical engineering.