Detection of thermal size-dependent dynamic instability of rotating CNTRC microbeams with damping under parametric resonance excitation

Abstract

Small-scale dynamic instability analysis of a rotating nanocomposite damped microbeam reinforced with carbon nanotube exposed to a temperature growth is addressed in this research. The modified couple stress theory, along with the Timoshenko beam hypothesis is explored to develop the motion equations. The practical thermo-mechanical characteristics are determined by resorting to the modified rule for mixtures. The Chebyshev–Ritz approach is exerted on the nonlinear motion equations to achieve the discretized form of the motion equations. The influence of structural damping is integrated into the governing equations. Considering a varying rotating speed, a possible instability resulting from principal parametric resonance stimulation is examined using the Bolotin's route and the Floquet hypothesis. The influences of the material length scale constant, distribution type of carbon nanotubes, temperature, and the damping constant on the dynamic instability boundaries are investigated. The outcomes enlighten that a rotating nanocomposite microbeam with O distribution pattern for carbon nanotubes is more sensitive to the changing temperature.