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Due to the importance of the differential equations in different scientific fields, many methods to solve them has been used, however Al-Zughair integral transform in spite its capability in solving differential equations and due to its novelty has not been used in many fields. In this paper Al-Zughair integral transform has been used to solve the differential equations of two of the engineering fields: mechanical and control, and it has proved its ability to handle them perfectly. [ABSTRACT FROM AUTHOR]

This paper concerns a boundary element method (BEM) for 2D SH-wave scattering in an elastic layer sandwiched by two half spaces. The BEM is based on the integral equation having a Green’s function for a layer as its integral kernel. Since the Green’s function satisfies the interface conditions, numerical integration in the BEM is necessary only on the surface of scattering objects, thus the computational memory can be saved greatly. On the other hand, numerical evaluation of the Green’s function is critical and burdensome. In this paper, a hybrid ray-mode representation of the Green’s function given by Kamel is employed. Numerical aspects of the representation are discussed in some detail, and the BEM code with the Green’s function is developed thereafter. As a numerical example, SH-wave scattering by a cavity in a layer is considered. Some numerical results to investigate the interaction between the cavity and layer interfaces are presented. © 2004 American Institute of Physics [ABSTRACT FROM AUTHOR]

Inspection techniques using guided waves require an accurate prediction of the propagation properties and the physical behaviour of the waves. Properties of these guided waves can be modelled using dispersion curves, which are calculated numerically. However, any curvature along the propagation direction can change the behaviour of the modes compared to those in the straight waveguide. There are currently few studies of the curvature effect along the propagation direction of any waveguide problem. We have used a 2D circumferential waveguide problem to study the curvature effect, from which the phase velocity and the mode shapes have been examined at various curvatures. The percentage difference in velocity of the low order plate modes, as a function of frequency and curvature, has been calculated numerically. Furthermore the changes in phase velocity have been correlated with the changes in mode shapes that are due to the curvature effect. This paper also presents an experimental study to validate the analytical predictions. The experiment involved a sensitive measurement of the change of velocity as the curvature of a waveguide was increased. Reasonably good agreement was obtained between the experimental measurements and the predictions. © 2004 American Institute of Physics [ABSTRACT FROM AUTHOR]

The guided wave field excited in a plate-like structure from any weakly coupled transducer can be calculated from the superposition of the guided wave fields due to a number of suitable point or line excitation sources. In this paper, the fields from various point and line excitation sources are reviewed and relationships between them are demonstrated. The performance of pancake coil EMATs is modeled using the superposition of the fields from point sources and the results compared with experiment. © 2004 American Institute of Physics [ABSTRACT FROM AUTHOR]

Non-axisymmetric guided waves including flexural longitudinal and flexural torsional modes have shown natural focusing characteristics in pipe inspection. A flexural torsional mode theory was developed in this paper based on flexural longitudinal mode theory. Flexural mode experiments were then carried out to show the natural focusing phenomena. © 2004 American Institute of Physics [ABSTRACT FROM AUTHOR]