A study on vibration of crack stator in trum

Abstract

In this paper, the model of equivalent torsion spring is adopted to divide the simply supported beam laminated by the stator elastomer and piezoelectric plate of a TRUM into two segments, and the vibration equation is established. Based on the equation, the overall vibration model and its forced response analysis of the TRUM stator with cracks are derived according to the boundary conditions of simply supported beam and the consistency conditions of deflection, shear, and torque and the angle coordination at the crack. Then a simulation example of this kind of TRUM is carried out on the MATLAB software platform, it is found that the existence of cracks would change the shape of traveling wave on the TRUM and produce the influence of inconsistent peak points of lateral vibration and its longitudinal motion velocity of the stator. This provides a better way to detect whether there are cracks in a TRUM according to the waveform variation of stator vibration, and then to monitor the healthy state of the motor operation in the future.