Flutter analysis of a CNT-reinforced composite beam carrying an attached mass in the supersonic flow

In this paper, the flutter analysis of a CNT-reinforced composite beam carrying an attached mass in the supersonic flow under different boundary conditions is presented. Also, the analysis of the mentioned beam has been investigated taking into account of the first-order shear deformation theory. The aerodynamic Piston theory has been used to estimate the aerodynamic pressure. The equations governing the vibrations of this dynamic system have been determined based on the Hamilton principle. Then, by solving the equations using the generalized differential quadrature method, the natural frequencies of the dynamic system are calculated. In this work, the results have been compared and validated with similar studies. Then, the effects of carbon nanotube reinforcement and the effects of the attached mass on the frequency and stability of the beam have been investigated. The obtained results show that for uniform distribution of CNT the non-dimensional frequency decreases by increasing the ratio of length to thickness for all boundary conditions.