Showing papers in "Wave Motion in 2014"

TL;DR: A generalized Darboux transformation to the coupled Hirota equations with high-order nonlinear effects like the third dispersion, self-steepening and inelastic Raman scattering terms was constructed in this paper.

TL;DR: An overview of the current state of the art of the Wave Based Method, a comparison of the properties of the wave functions and element-based prediction techniques, application areas, extensions to the method such as hybrid and multi-level approaches and the most recent developments are given.

TL;DR: The random coupling model as discussed by the authors is a model that combines both deterministic and statistical phenomena to describe the coupling of radiation into and out of large enclosures through localized and/or distributed ports.

TL;DR: An efficient numerical method to compute solitary wave solutions to the free surface Euler equations is reported in this article, which is based on the conformal mapping technique combined with an efficient Fourier pseudo-spectral method.

TL;DR: The connection between waveguides and periodic media is explored in this paper, where the authors explore the deep connections that exist between the mathematical representations of dynamic phenomena in functionally graded waveguide and those in periodic media, and the connection is illustrated by the comparative study of a periodic string and a functionally graded acoustic waveguide.

TL;DR: In this paper, it is shown that if the homogenized parameters are to appropriately represent the layered composite in a finite setting and at a given frequency, then reflection at this special interface must be close to zero at that frequency.

TL;DR: In this paper, a mathematical model is derived to simulate the magnetic wake in a finite depth sea and a multi-sensor arrangement of magnetic transducers is proposed to remove these limitations.

TL;DR: In this article, conditions for an attractive force acting in opposite direction of the radiating waves, determined by the choice of the beam's half-cone angle, the size of the radiator, and its distance from a fluid sphere, are established and discussed.

TL;DR: In this article, a finite element model is proposed to study the interaction between in-plane elastic waves and a crack of different orientations, where the crack is modeled by an interface of unilateral contact with Coulombs friction.

TL;DR: In this paper, a perturbation analysis for analyzing weakly nonlinear wave interactions in multi-degree of freedom periodic structures is presented, where dispersion shifts typically arise from the cubic components in nonlinear restoring forces.

TL;DR: In this article, a meshless numerical model is presented to simulate the trajectories of fluid particles in a wave motion exerted by the wave paddle, which is verified by the comparison with experimental data before it is employed to the focused problem.

TL;DR: In this article, a new approach for modeling noise and vibration in complex mechanical structures in the mid-to-high frequency regime is presented based on a dynamical energy analysis (DEA) formulation which extends standard techniques such as statistical energy analysis towards non-diffusive wave fields.

TL;DR: In this paper, the authors presented a numerical investigation of three-dimensional electromagnetic Sinai-like cavities and showed that the statistical requirements of a well operating reverberation chamber are better satisfied in the more complex geometry without a mechanical mode-stirrer/tuner.

TL;DR: In this article, a new method is established to find interactions among different types of nonlinear waves such as the solitons (or solitary waves), the cnoidal periodic waves and Painleve waves.

TL;DR: In this article, the steady-state solitary wave solution of high-level Green-Naghdi (GN) equations is obtained by use of the Newton-Raphson method.

TL;DR: In this paper, the authors proposed efficient methods for solving inverse problems of 3D ultrasound tomography directly in the 3D formulation, which are primarily oriented toward the development of ultrasound tomographs for differential diagnosis of breast cancer.

TL;DR: In this paper, a hybrid representation of real images and a rapidly converging Sommerfeld-like integral is proposed to represent the Green's function subject to impedance boundary conditions on a half-space.

TL;DR: In this paper, a semi-analytical finite element method and a perfectly matched layer technique are combined for the computation of trapped and leaky modes in two-dimensional stratified waveguides.

TL;DR: In this article, the Laplace-Fourier double transform was used to solve the resulting non-dimensional coupled field equations and expressions for displacements, stresses and temperature in the physical domain were obtained using a numerical inversion technique.

TL;DR: In this article, a non-reflecting boundary condition (NRBC) is proposed for 2D wave equation problems with far field sources, which is based on a known space-time integral equation defining a relationship between the solution of the differential problem and its normal derivative.

TL;DR: In this paper, the authors investigated the leaky and non-leaky behaviors of guided waves, between the composite skin and the core in CF/EP sandwich structures, focusing on the fundamental symmetric like and anti-symmetric like guided wave modes and Rayleigh waves.

TL;DR: In this article, the authors proposed an efficient Lamb wave mode decomposition method based on two fundamental rules, namely the group velocity ratio rule and the mode amplitude ratio rule, to decompose Lamb wave modes into symmetric and anti-symmetric modes for potential applications to structural health monitoring.

TL;DR: In this article, a spectral plate finite element was proposed to model the three-dimensional (3D) behavior of Lamb waves in a plate-like structure, where linear displacement distributions in the thickness direction were assumed for both the PZT layer and the base plate.

TL;DR: In this article, the authors study unsteady motions of a new class of elastic solids, wherein one can justify a non-linear relationship between the linearized strain and the stress, an impossibility within the classical construct of elasticity.

TL;DR: In this article, the authors considered the propagation of Rayleigh waves in an isotropic elastic half-space and derived an approximate secular equation of the wave in terms of the dimensionless thickness of the layer.

TL;DR: In this paper, a hybrid finite element/wave and finite element (FE/WFE) approach is used to model the waveguide structure and the joints of a waveguide.

TL;DR: In this paper, the authors derived the constitutive law, elasticity tensor, and elastic tensor invariants for a rotating transversely isotropic initially stressed elastic solid.

TL;DR: In this article, the effects of multiple scattering, the geometry, and the impedance contrast of the materials for layered inclusions and pipes are considered in detail, using a direct boundary integral equation method.

TL;DR: In this paper, the authors derived explicit secular equations of Rayleigh waves in an elastic half-space with impedance boundary conditions, and derived a new version of the secular equation for isotropic materials.

TL;DR: Three different predictive methods based on wave descriptions of the acoustic field are presented and used to calculate transmission and radiation properties of typical rail and aerospace structures and can be used to effectively support decision making in the design process of trains and aircraft.