FEM analysis of polystyrene nano-composite beam reinforced by SWCNT as a rotor system based on Timoshenko beam theory

چکیده مقاله

In this paper natural frequencies of whirl for polystyrene nano composite beam reinforced by single walled carbon nano tube (SWCNT) as an undamped rotor system based on Timoshenko beam and using finite element method (FEM) are investigated. Effect of different boundary condition, various slender ratio and CNT volume fraction for backward, forward and nonrotating shaft is studied. The results show that in backward critical speed ( ) and nonrotating shaft ( ) natural frequencies of polystyrene nano composite beam reinforced by SWCNT for simply supported boundary condition is more than clamped-clamped and for forward critical speed ( ) is vice versa also by increasing slender ratio of cross section in all of the boundary condition and critical value of , natural frequency decreases, it means that for constant value of length by increasing radius of shaft natural frequency decreasing. Increasing volume fraction of CNT leads to increase in natural frequency of beam.