Wave equation

The present work deal with the propagation of a horizontally polarised shear (SH) wave in an infinitely long cylindrical structure comprised of three concentric isotropic layered media. The model has been formulated in cylindrical co-ordinates and an analytical approach is employed to achieve the closed form of the dispersion equation.

3p vibecca 01-10-2024 2 2   Download

The problem of Rayleigh waves in compressible orthotropic elastic half-space overlaid by a thin elastic layer of which principal material axes are coincident have been researched by many scientists. This paper presents a traditional approach to obtain an approximate secular equation by approximately replacing the thin layer by effective boundary conditions of third-order.

11p vifilm 24-09-2024 7 1   Download

In this paper, we considered the propagation wave in transversely isotropic piezoelastic medium based on the nonlocal strain gradient theory. Two kinds of scale parameters, namely, the nonlocal parameter and the strain gradient parameter are introduced to account for the size effect of mechanical properties of nanostructures.

18p dianmotminh02 03-05-2024 9 2   Download

This research has raised the question of whether the vibration transmission at a wall junction depends on how the wall is excited (by either a sound wave or a mechanical shaker). The aim of this research is to investigate this question and hence contribute to the revision of the series of standards. Villot and Guigou-Carter (2000) have considered this problem but their equations (10) and (13) appear to be in error. This research will endeavour to derive the correct equations and r epeat Villot and Guigou Carter’s calculations.

162p runthenight05 01-03-2023 9 3   Download

The aim of this research is to improve the reliability of the dynamic formula. This research program will concentrate on the proposal of a correction factor to adjust for this dynamic component similar to the damping parameter used in the Wave Equation Analysis and validate its reliability experimentally and theoretically. Similarly, the issue of the variation in the hammer energy delivered to pile needs to be improved by the adoption of new technology and validate experimentally.

207p runthenight07 01-03-2023 6 3   Download

The current research is undertaken by performing Computational Fluid Dynamics (CFD) simulations for a 2D aerofoil fitted with a shock control bump at a transonic flow condition. Reynolds-Averaged Navier-Stokes equation coupled with turbulence models is adopted to solve the flowfield. The bump has a conventional geometric feature which consists of a ramp, a crest and a tail, and it has eight variants for which the designed parameters are reasonably specified according to the compressible aerodynamics theory.

84p runthenight04 02-02-2023 7 3   Download

The specific phase and group refractive indexes concerning the specific phase and group velocities of single and packet electromagnetic waves contain all interactions between the electromagnetic waves and the propagating medium

9p viaespa2711 31-07-2021 18 2   Download

Lecture Physics A2: Electromagnetic Field and Wave - PhD. Pham Tan Thi present the content Maxwell’s equation, Gauss’s law for electric field, Faraday’s law, Ampère’s law with Maxwell’s correction, convert intergral form to differential form,...

27p xusong 21-07-2021 15 1   Download

We will show that Schrodinger equations for low-dimensional systems can be solved by the method of quantum Diffusion Monte Carlo (DMC). The wave function and energy in a ground state are found for the two-dimensional harmonic oscillator, quantum wells, quantum wires and quantum dots. This is great approach for problems of low-dimensional systems. In this paper, the sign of the wave function is not treated.

7p tamynhan5 10-12-2020 16 2   Download

The analytical expressions for the wave functions of two-component Bose-Einstein Condensates are derived by means of the Gross-Pitaevskii equations in linear approximation. Based on the Bernoulli equation the shape of the interface and the dispersion relations for both phonon and ripplonare studied.

6p tamynhan5 10-12-2020 13 1   Download

The analytic expressions for the absorption coefficient (ACF) of a weak electromagnetic wave (EMW) caused by confined electrons in the presence of laser radiation modulated by amplitude in doped superlattices (DSL) are obtained by using the quantum kinetic equation for electrons in the case of electron–optical phonon scattering.

11p tamynhan8 04-11-2020 17 3   Download

The set of intracavity field equations describing the evolution of intra-cavity pumping, Stokes and anti-Stokes powers of Raman laser is presented. Most attention is given to intra-cavity competition of two Raman waves, which depends on cavity properties, frequency shift and phase mismatch. The calculated results are based on Ge-doped and D2-gas-in glass fiber lasers at CW-regime and pulse-pumped regime.

8p 12120609 01-06-2020 12 1   Download

This article deals with the thermoelastic interaction in a three-dimensional homogeneous and isotropic viscoelastic medium under the Dual-phase-lag model of generalized thermoelasticity. The resulting non-dimensional coupled equations are applied to a specific problem of a half-space whose surface is traction-free and is subjected to a time-dependent thermal shock.

14p tohitohi 19-05-2020 9 0   Download

The linear governing equations of a micropolar thermoelastic medium without energy dissipation are solved for surface wave solutions. The appropriate solutions satisfying the radiation conditions are applied to the required boundary conditions at the free surface of the half-space of the medium.

6p tohitohi 19-05-2020 11 0   Download

Semi-submersible drilling platforms are huge bulk structures for extracting the oil products from great depth of seas. For such bulk structures, the Morrison’s equations are no longer valid for determining the loads applied to the semi-submersible drilling platforms.

8p tohitohi 19-05-2020 11 0   Download

The theoretical results for the EC are numerically evaluated, plotted and discussed for a specific RQWIP GaAs/GaAsAL. We also compared received EC with those for normal bulk semiconductors and quamtum wells to show the difference. The Ettingshausen effect in a RQWIP in the presence of an EMW is newly developed.

7p truongtien_09 08-04-2018 28 1   Download

Introduction waves and phasors, transmission lines, vector analysis, electrostatics, magnetostatics, maxwell’s equations for time-varying fields, plane-wave propagation, wave reflection and transmission,... As the main contents of the document "Fundamentals of Applied Electromagnetics 6e by Fawwaz T. Ulaby, Eric Michielssen, and Umberto Ravaioli". Invite you to consult.

290p luutrutailieu112 11-12-2015 98 9   Download

In this paper we describe the propagation of C ∞ and Sobolev singularities for the wave equation on C ∞ manifolds with corners M equipped with a Rie2 1 mannian metric g. That is, for X = M × Rt , P = Dt − ∆M , and u ∈ Hloc (X) solving P u = 0 with homogeneous Dirichlet or Neumann boundary conditions, we show that WFb (u) is a union of maximally extended generalized broken bicharacteristics. This result is a C ∞ counterpart of Lebeau’s results for the propagation of analytic singularities on real analytic manifolds with...

65p dontetvui 17-01-2013 54 8   Download

This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data. The new results obtained here are sharp in low dimension. 1. Introduction 1.1. The results. We consider in this paper second order, nonlinear hyperbolic equations of the form (1.1) gij (u) ∂i ∂j u = q ij (u) ∂i u ∂j u on R × Rn , with Cauchy data prescribed at time 0, (1.2) u(0, x) = u0 (x) , ∂0 u(0, x) = u1 (x) .

77p noel_noel 17-01-2013 71 5   Download

This is the first in a series of papers in which we initiate the study of very rough solutions to the initial value problem for the Einstein-vacuum equations expressed relative to wave coordinates. By very rough we mean solutions which cannot be constructed by the classical techniques of energy estimates and Sobolev inequalities. Following [Kl-Ro] we develop new analytic methods based on Strichartz-type inequalities which result in a gain of half a derivative relative to the classical result. ...

52p noel_noel 17-01-2013 59 5   Download