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International Applied Mechanics
Article . 1981 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1982
Data sources: zbMATH Open
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Energy analysis of wave motions in the lamb problem

Energy analysis of wave motions in the Lamb problem
Authors: Meleshko, V. V.;

Energy analysis of wave motions in the lamb problem

Abstract

The problem of the motion of an elastic halfspace (Lamb problem) excited at the surface (x-y plane) by a harmonic normal force is studied. Emphasis is layed on analyzing the partition of the energy among the different wave modes (longitudinal, transverse, Rayleigh) thus generated. The amplitude of the surface force is assumed to be distributed along one coordinate, while it is constant along the other axis, e.g. it is a function f(x), and is assumed to be representable by a Fourier integral. Simple asymptotic expressions for the components of the displacement and stress vectors of the wave field are given (for details it is referred to the literature) being the basis for the evaluation of the energy efficiencies of the wave field. By calculating the power flow through the surface - by means of integrating the z-component of the period average pointing vector - the average power produced by the normal forces is obtained. A characteristic feature of this relation is the explicit separation of the power spent in the generation of the surface waves. It is further shown that the other two (logitudinal, transverse) components can be obtained by the calculation of the total power flow through a cylindrical surface of large radius. Finally, specific examples of driving forces with uniform and harmonic distributed amplitudes are considered. The variation of the relative distribution of the power among the modes as a function of the width of the driving zone is shown. The results are of practical interest (for example the excitation of surface acoustic waves is required in acoustooptic switches), because they allow to estimate the proper driving technique for the excitation of the various wave modes in solids.

Keywords

variation of relative distribution of power, representable by Fourier integral, explicit separation of power spent in generation of surface waves, power flow through surface, Surface waves in solid mechanics, amplitude of surface force distributed along one coordinate, constant along other axis, motion of elastic halfspace, excited at surface, average power, Lamb problem, wave modes (longitudinal, transverse, Rayleigh), cylindrical surface of large radius, uniform and harmonic distributed amplitudes, driving forces, asymptotic expressions for components of displacement and stress vectors of wave field, energy analysis, harmonic normal force, other two components obtained by calculation of total power flow, function of width of driving zone

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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