Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load

An analysis of the distributed moving load along the surface of a coated half space is presented. The formulation of the problem depends on the hyperbolic-elliptic asymptotic model developed earlier by the authors. The integral solution of the longitudinal and transverse displacements along the surface for the sub and super-Rayleigh cases are obtained by using the uniform stationary phase method. Numerical comparisons of the exact and asymptotic solutions of the longitudinal displacement are illustrated for the certain cross-sections of the profile.

Anahtar Kelimeler:

3D elasticity, Asymptotic Model, Moving Load, Surface Wave

Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load

Keywords:

3D elasticity Asymptotic Model, Moving Load, Surface Wave, Thin Layer.,

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Zhu XQ and Law SS. Dynamic load on continuous multi-lane bridge deck from moving vehicles. Journal of Sound and Vibration 2002; 251: 697-716
Cao Y, Xia H and Li ZA. Semi-analytical/FEM model for predicting ground vibrations induced by high-speed train through continuous girder bridge. Journal of Mechanical Science and Technology 2012; 26: 2485-2496.
Agostinacchio M, Ciampa D, Diomedi M, and Olita S. Parametrical analysis of the railways
El Kacimi A, Woodward PK, Laghrouche O, and Medero G. Time domain 3D finite element
Achenbach JD. Wave propagation in elastic solids, North-Holland, Amsterdam, 1973
Miklowitz J. The theory of elastic waves and waveguides, Elsevier, 2012
Kaplunov J, Zakharov A and Prikazchikov DA. Explicit models for elastic and piezoelastic surface waves. IMA J. Appl. Math. 2006; 71: 768-782
Chadwick P. Surface and interfacial waves of arbitrary form in isotropic elastic media, J. of Elasticity 1976; 6: 73-80
Courant R and Hilbert D. Methods of Mathematical Physics, John Wiley & Sons, 1989
Dai HH, Kaplunov J and Prikazchikov DA. A long-wave model for the surface elastic wave in a coated half-space. Proc. R. Soc. A. 2010; 466: 3097–3116
Kaplunov JD, Prikazchikov DA, Erbaş B, and Şahin O. On a 3D moving load problem for an elastic half space. Wave Motion 2013; 50: 1229–1238
Erbaş B, Kaplunov J, Prikazchikov DA and Şahin O. The near-resonant regimes of a moving load in a 3D problem for a coated elastic half space. Math. Mech. Solids 2014; doi: 10.1177/1081286514555451
Debnath L, and Dambaru B. Integral transforms and their applications, CRC press, 2014
Borovikov VA. Uniform stationary phase method, Institution of Electrical Engineers, London, 1994
Wong R. Asymptotic Approximations of Integrals, Academic Press, 2014
Abramowitz M and Stegun IA. Handbook of mathematical functions, Dover Publications, New York, 2012
Erbaş B, Şahin O. On the causality of the Rayleigh wave. Journal of mechanics of materials and structures 2016, 11: 449-461
Erbaş B, Şahin O, Ege N. Response of a 3D elastic half-space to a distributed moving load. Hacettepe Journal of Mathematics and Statistics, in press
Chester C, Friedman B, and Ursell F. An extension of the method of steepest descents, Cambridge University Press, 1957
Bleistein N. Uniform asymptotic expansions of integrals with many nearby stationary points and algebraic singularities. Journal of Mathematics and Mechanics 1967; 17: 533-559