Derivation of circumferential guided waves equations for a multilayered laminate composite hollow cylinder by state-vector and Legendre polynomial hybrid formalism

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...

Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions

In this paper, we use a combination of Legendre and Block-Pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.The nonlinear part of the integral equation is approximated by Hybrid Legen-dre Block-Pulse functions, and the nonlinear integral equation is reduced to asystem of nonlinear equations. We give some numerical examples. To showapplicability of...

Phased-array Focusing with Longitudinal Guided Waves in a Viscoelastic Coated Hollow Cylinder

Guided wave phased-array focusing techniques have been studied and applied in the longrange guided wave inspection of industrial pipelines. Advantages include longer inspection distance, greater wave penetration power and higher detection sensitivity. For reasons of protection, safety and thermal efficiency, a large percentage of pipes are coated and/or encased and buried underground. A phased-...

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

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...