Cylindrically Guided Waves in a Transversely Isotropic Shaft

The propagation of a longitudinal wave in an isotropic cylinder has been used in the inspections of pumps and shafts of a nuclear power plant [1]. An ultrasonic technique called the “cylindrically guided wave technique” (CGWT) has been developed that can detect simulated circumferential defects through long metal paths in metallic materials being used for bolts and studs [1]. In the recent development of the sizing process for the cylindrically guided wave technique, the wave scattering at the circumferential crack can be formulated in terms of the guided cylindrical waves which mathematically result from the cylinder frequency equation. Therefore, a detailed investigation of the cylinder frequency equation is in order in the sizing process for bolt and pump-shaft inspections