Self-sustained oscillations of nanotubes reinforced composite thin-walled structures

Abstract

The self-sustained oscillations of functionally graded nanotubes reinforced composite thin-walled structures are treated with account of geometrical nonlinearity. The Reddy shear deformation theory is used in this analysis. The system of the nonlinear dynamical system is derived by assumed-mode method to study the structure dynamic instability and the self-sustained vibrations. The self-sustained oscillations take place due to the Hopf bifurcation. The self-sustained oscillations are calculated by the harmonic balance method.