Investigation for electro-thermo-mechanical vibration of nanocomposite cylindrical shells with an internal fluid flow

Abstract

Abstract In the present, based on geometrical nonlinearity in von Karman sense and classical thin shell theory (CLT), the vibrational analyses of conveying-fluid functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical shells with piezoelectric layers in thermal environment are taken into account by an analytical approach. The uniform and functionally graded CNTs are used to reinforce through the thickness of the shell. The fluid flow in the shell is mentioned as non-viscous, incompressible, isentropic and irrotational. Furthermore, piezoelectric layers are bonded onto the outer surface of the cylindrical shell to act as an actuator. The equations of motion are derived by using the CLT, von Karman nonlinearity theory, the fluid velocity potential and then solved by Galerkin s technique. Moreover, the fourth-order Runge-Kutta method is used to resolve the differential equations. The fundamental frequencies, responses of nonlinear vibration as time histories and bifurcation diagram are studied in this paper. Furthermore, the effects of CNT volume fraction, piezoelectric actuator, thermal environment, geometrical parameters, elastic medium and the fluid flow velocity are carefully analyzed. The obtained results that are validated with those of other studies can be used as benchmark solutions for an analytical approach serving in further research.