Abstract：A dynamical model of the rotor system which includes the composite shaft with shape memory alloy (SMA) wires embedded parallel to the shaft axis, isotropic rigid disks and the stiff bearings, is presented and then used to predict natural frequencies and dynamical stability of the rotor systems. A composite thin-walled beam theory based on variational asymptotically approach(VAM) is employed to describe the deformation of the shaft. A thermo-mechanical constitutive equation of SMA proposed by Brinson et al. is used to calculate the recovery stress of the constrained SMA wires. The Hamilton’s principle is used to derive the motion equations of the rotor system, which are discretized and solved by Galerkin’s method. Emphasis is palced on the influcence of SMA wire fraction and initial strain into natural frequencies and critical speeds. Results show that the model presented in this paper can be used to highlight the effect SMA on the dynamic characteristics of the rotor system.
2015, Vol. 34 
