Mechanism and Analysis of Propagation of Ultrasonic Guided Wave in Rotating Shaft

Recently, Ultrasonic Guided wave testing based damage detection techniques have been widely used for structure due to their long range. But the underlying physics of guided waves is more complex than bulk waves. This paper analyses the propagation of harmonic waves along a rotating shaft with round section within the frame work of the linear theory of elasticity. Helmholtz decomposition is used to obtain the characteristic equation of the rotating shaft. It describes the algorithm for tracing the roots of equation. With the help of Matlab software, we calculated the phase and group velocity curves and f-k curve for longitudinal modes. It gives the response curve for the five peak tone burst signal of the structure. The curves will direct us to design the transducer and determine the working frequency for damage and crack detection of the rotating shaft.