Buckling and free vibration analysis of high speed rotating carbon nanotube reinforced cylindrical piezoelectric shell

Abstract

• Buckling and vibration behavior of a piezoelectric rotating (CNTRC) shell is investigated. • The generalized differential quadrature method is employed to solve the governing equations. • Both cases of uniform distribution and FG distribution patterns of reinforcements are studied. • Effect of various parameters on critical voltage and natural frequency of piezoelectric rotating CNTRC shell is investigated. In this paper, buckling and free vibration behavior of a piezoelectric rotating cylindrical carbon nanotube-reinforced (CNTRC) shell is investigated. Both cases of uniform distribution (UD) and FG distribution patterns of reinforcements are studied. The accuracy of the presented model is verified with previous studies and also with those obtained by Navier analytical method. The novelty of this study is investigating the effects of critical voltage and CNT reinforcement as well as satisfying various boundary conditions implemented on the piezoelectric rotating cylindrical CNTRC shell. The governing equations and boundary conditions have been developed using Hamilton's principle and are solved with the aid of Navier and generalized differential quadrature (GDQ) methods. In this research, the buckling phenomena in the piezoelectric rotating cylindrical CNTRC shell occur as the natural frequency is equal to zero. The results show that, various types of CNT reinforcement, length to radius ratio, external voltage, angular velocity, initial hoop tension and boundary conditions play important roles on critical voltage and natural frequency of piezoelectric rotating cylindrical CNTRC shell.