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## trenSurface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional LoadSurface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load

#### Onur Şahin [1] , Nihal Ege [2]

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.

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.

• 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
Subjects Basic Sciences Articles Author: Onur ŞahinInstitution: Giresun UniverstyCountry: Turkey Author: Nihal EgeInstitution: ANADOLU ÜNİVERSİTESİCountry: Turkey Publication Date : April 7, 2017
 Bibtex @research article { aubtdb282613, journal = {Anadolu University Journal of Science and Technology B - Theoretical Sciences}, issn = {2146-0272}, eissn = {2146-0191}, address = {}, publisher = {Eskişehir Teknik Üniversitesi}, year = {2017}, volume = {5}, pages = {77 - 90}, doi = {10.20290/aubtdb.282613}, title = {Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load}, key = {cite}, author = {Şahin, Onur and Ege, Nihal} } APA Şahin, O , Ege, N . (2017). Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load. Anadolu University Journal of Science and Technology B - Theoretical Sciences , 5 (1) , 77-90 . DOI: 10.20290/aubtdb.282613 MLA Şahin, O , Ege, N . "Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load". Anadolu University Journal of Science and Technology B - Theoretical Sciences 5 (2017 ): 77-90 Chicago Şahin, O , Ege, N . "Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load". Anadolu University Journal of Science and Technology B - Theoretical Sciences 5 (2017 ): 77-90 RIS TY - JOUR T1 - Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load AU - Onur Şahin , Nihal Ege Y1 - 2017 PY - 2017 N1 - doi: 10.20290/aubtdb.282613 DO - 10.20290/aubtdb.282613 T2 - Anadolu University Journal of Science and Technology B - Theoretical Sciences JF - Journal JO - JOR SP - 77 EP - 90 VL - 5 IS - 1 SN - 2146-0272-2146-0191 M3 - doi: 10.20290/aubtdb.282613 UR - https://doi.org/10.20290/aubtdb.282613 Y2 - 2019 ER - EndNote %0 Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load %A Onur Şahin , Nihal Ege %T Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load %D 2017 %J Anadolu University Journal of Science and Technology B - Theoretical Sciences %P 2146-0272-2146-0191 %V 5 %N 1 %R doi: 10.20290/aubtdb.282613 %U 10.20290/aubtdb.282613 ISNAD Şahin, Onur , Ege, Nihal . "Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load". Anadolu University Journal of Science and Technology B - Theoretical Sciences 5 / 1 (April 2017): 77-90 . https://doi.org/10.20290/aubtdb.282613 AMA Şahin O , Ege N . Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load. AUBTD-B. 2017; 5(1): 77-90. Vancouver Şahin O , Ege N . Surface Displacement Field of a Coated Elastic Half-Space Under the Influence of a Moving Distributional Load. Anadolu University Journal of Science and Technology B - Theoretical Sciences. 2017; 5(1): 90-77.