Transient two-dimensional Kirchhoff diffraction of a plane elastic SH wave by a generalized linear-slip fracture

Scattering of plane elastic waves by three-dimensional diffraction gratings

Transient elastic plane-wave diffraction by a semi-infinite fluid-filled crack in an isotropic, dispersive solid

The canonical problem of the diffraction of a transient elastic plane wave by a semiinfinite fluid-filled crack in an unbounded, homogeneous, isotropic, dispersive solid is considered. The dispersion properties of the solid (and its associated loss mechanism) are accounted for by general, global relaxation functions that meet the causality criterion and encompass the influence of frictional for...

Differential Transform Method to two-dimensional non-linear wave equation

In this paper, an analytic solution is presented using differential transform method (DTM) for a class of wave equation. The emphasis is on the nonlinear two-dimensional wave equation. The procedures introduced in this paper are in recursive forms which can be used to obtain the closed form of the solutions, if they are required. The method is tested on various examples, and the results reveal ...

Free Vibration of a Generalized Plane Frame

This article deals with the free in-plane vibration analysis of a frame with four arbitrary inclined members by differential transform method. Based on four differential equations and sixteen boundary and compatibility conditions, the related structural eigenvalue problem will be analytically formulated. The frequency parameters and mode shapes of the frame will be calculated for various values...

Generalized Helmholtz-Kirchhoff Model for Two-Dimensional Distributed Vortex Motion

The two-dimensional Navier-Stokes equations are rewritten as a system of coupled nonlinear ordinary differential equations. These equations describe the evolution of the moments of an expansion of the vorticity with respect to Hermite functions and of the centers of vorticity concentrations. We prove the convergence of this expansion and show that in the zero viscosity and zero core size limit ...