Circumferential Waves in a Gapped Cylinder

On the Dispersion and Displacement Distribution of Circumferential Waves in a Composite Circular Cylinder

The motivation for this paper is the need to detect radial fatigue cracks in a shaft/bearing assembly (as shown in Fig. 1), using guided circumferential waves. To do so, wave propagation in a layered cylinder must be understood. In order to accurately detect the crack, the dispersion relationship for guided circumferential waves must be known; this enables the selective generation of specific w...

Crack characterization using guided circumferential waves.

This paper examines the propagation of guided circumferential waves in a hollow isotropic cylinder that contains a crack, with the goal of using these guided waves to both locate and size the crack. The crack is sized using a modified Auld's formula, which relates the crack's length to a reflected energy coefficient. The crack is then located by operating on the backscattered signal with a time...

Eect of Rotation on Thermoelastic Waves with Green-Naghdi Theory in a Homogeneous Isotropic Hollow Cylinder

Radiation of a Hertzian Dipole in a Conducting Circular Cylinder with Narrow Circumferential Slots

Hertzian dipole radiation from narrow circumferential slots on a conducting circular cylinder is studied. Eigenfunction expansions are used and boundary conditions are enforced to obtain a set of simultaneous equations. A fast convergent series formulation is obtained and numerical results are shown. Our theory provides a viable model for dipole radiation from a circumferential slot array on a ...

Capillary damping of inviscid surface waves in a circular cylinder

We consider the effect of a wetting condition at the moving contact line on the frequency and damping of surface waves on an inviscid liquid in a circular cylinder. The velocity potential φ and the free surface elevation η are sought as complex eigenfunction expansions. The φ eigenvalues are the classical ones whereas the η eigenvalues are unknown and have to be computed so as to satisfy the we...