Application on vibration control of rotor system with a kind of SMA model

摘要

In this paper, a new kind of Shape Memory Alloy model was founded and applied in vibration control of rotor system with SMA bearing. The idea of hysteretic cycle was introduced to interpret the nonlinear hysteretic phenomenon of SMA. Subsection function was replaced by continuous function to describe the relationship among strain, stress and temperature of SMA. Constant parameters of SMA model were substituted by parameters varied with strain and stress to adapt the change of strain-stress curve in the course of loading and unloading. Arctangent function was introduced to describe the varying course of SMA stiffness with temperature. Based on above, a new kind of SMA strain-stress-temperature model was set up, and the stability and the bifurcation characteristic of rotor system with SMA bearing was analyzed. The new SMA model broadens the region of controlling temperature, admits the existence of control error, and is easy to be analyzed in theory, which can brings many advantages to vibration control.