Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 46 Sayı: 5, 817 - 828, 01.10.2017

Öz

Kaynakça

  • Cole, J. and Huth, J. Stresses produced in a half plane by moving loads, J. Appl. Mech. 25, 433436, 1958.
  • Freund, L. B. Wave motion in an elastic solid due to a nonuniformly moving line load, Quart. Appl. Math. 30, 271281, 1972.
  • Fryba, L. Vibration of solids and structures under moving loads (Thomas Telford, London, 1999).
  • Kaplunov, J., Nolde, E. and Prikazchikov, D. A. A revisit to the moving load problem using an asymptotic model for the Rayleigh wave, Wave Motion 47 (7), 440451, 2010.
  • Cao, Y., Xia, H. and Li, Z. A semi-analytical/FEM model for predicting ground vibrations induced by high-speed train through continuous girder bridge, Journal of Mechanical Science and Technology 26 (8), 24852496, 2012.
  • Celebi, E. Three-dimensional modelling of train-track and sub-soil analysis for surface vi- brations due to moving loads, Applied Mathematics and Computation 179 (1), 209230, 2006.
  • Hackenberg, M. and Müller, G. Modeling a Halfspace with Tunnel using a Coupled Integral Transform Method-Finite Element Method Approach, PAMM 15 (1), 389390, 2015.
  • Zhu, X. Q. and Law, S. S. Dynamic load on continuous multi-lane bridge deck from moving vehicles, Journal of Sound and Vibration 251 (4), 697716, 2002.
  • Erbaş, B. and Ş“ahin, O. On the causality of the Rayleigh wave, Journal of Mechanics of Material and Structures 11 (4), 449461, 2016.
  • Kaplunov, J. and Prikazchikov, D. Explicit models for surface, interfacial and edge waves, in: Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism (Craster, R. V. and Kaplunov, J., eds.) CISM Courses and Notes, 547 (Springer, 2013), 73114.
  • Dai, H. H., Kaplunov, J. and Prikazchikov, D. A. A long-wave model for the surface elastic wave in a coated half-space, Proc. R. Soc. A. 466 (2122), 30973116, 2010.
  • Erbaş, B., Kaplunov, J., Prikazchikov, D. A. and “ahin O. The near-resonant regimes of a moving load in a 3D problem for a coated elastic half space, Math. Mech. Solids DOI: 10.1177/1081286514555451, 2010.
  • Ege, N., Erbaş, B. and Prikazchikov, D. A. On the 3D Rayleigh wave eld on an elastic half-space subject to tangential surface loads, ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik 95 (12), 15581565, 2015.
  • Achenbach, J. Wave propagation in elastic solids (Elsevier, 2012).
  • Kaplunov, J., Zakharov, A. and Prikazchikov, D. A. Explicit models for elastic and piezoe- lastic surface waves, IMA J. Appl. Math. 71 (5), 768782, 2006.
  • Kaplunov, J., Prikazchikov, D. A., Erba³, B. and “ahin, O. On a 3D moving load problem for an elastic half space, Wave Motion 50 (8), 12291238, 2013.
  • Zauderer, E. Partial dierential equations of applied mathematics (Vol. 71, John Wiley & Sons, 2011).
  • Courant, R. and Hilbert, D. Methods of Mathematical Physics (Vol. 2, John Wiley & Sons, 1989).
  • Chadwick, P. Surface and interfacial waves of arbitrary form in isotropic elastic media, J. of Elasticity 6 (1), 7380, 1976.

Response of a 3D elastic half-space to a distributed moving load

Yıl 2017, Cilt: 46 Sayı: 5, 817 - 828, 01.10.2017

Öz

The dynamic effect of an out of plane distributed moving load on the surface of an elastic half-space is considered. The problem is formulated
in terms of a hyperbolic-elliptic asymptotic model for a moving load where the trajectory and the distribution of the load are taken to be orthogonal. Steady-state equations are written in terms of a moving coordinate system. The near-resonant solutions are, then, obtained for
sub and super-Rayleigh cases taking into account the causality principle. Numerical results of displacement components are presented for
various values of the distribution parameter.

Kaynakça

  • Cole, J. and Huth, J. Stresses produced in a half plane by moving loads, J. Appl. Mech. 25, 433436, 1958.
  • Freund, L. B. Wave motion in an elastic solid due to a nonuniformly moving line load, Quart. Appl. Math. 30, 271281, 1972.
  • Fryba, L. Vibration of solids and structures under moving loads (Thomas Telford, London, 1999).
  • Kaplunov, J., Nolde, E. and Prikazchikov, D. A. A revisit to the moving load problem using an asymptotic model for the Rayleigh wave, Wave Motion 47 (7), 440451, 2010.
  • Cao, Y., Xia, H. and Li, Z. A semi-analytical/FEM model for predicting ground vibrations induced by high-speed train through continuous girder bridge, Journal of Mechanical Science and Technology 26 (8), 24852496, 2012.
  • Celebi, E. Three-dimensional modelling of train-track and sub-soil analysis for surface vi- brations due to moving loads, Applied Mathematics and Computation 179 (1), 209230, 2006.
  • Hackenberg, M. and Müller, G. Modeling a Halfspace with Tunnel using a Coupled Integral Transform Method-Finite Element Method Approach, PAMM 15 (1), 389390, 2015.
  • Zhu, X. Q. and Law, S. S. Dynamic load on continuous multi-lane bridge deck from moving vehicles, Journal of Sound and Vibration 251 (4), 697716, 2002.
  • Erbaş, B. and Ş“ahin, O. On the causality of the Rayleigh wave, Journal of Mechanics of Material and Structures 11 (4), 449461, 2016.
  • Kaplunov, J. and Prikazchikov, D. Explicit models for surface, interfacial and edge waves, in: Dynamic Localization Phenomena in Elasticity, Acoustics and Electromagnetism (Craster, R. V. and Kaplunov, J., eds.) CISM Courses and Notes, 547 (Springer, 2013), 73114.
  • Dai, H. H., Kaplunov, J. and Prikazchikov, D. A. A long-wave model for the surface elastic wave in a coated half-space, Proc. R. Soc. A. 466 (2122), 30973116, 2010.
  • Erbaş, B., Kaplunov, J., Prikazchikov, D. A. and “ahin O. The near-resonant regimes of a moving load in a 3D problem for a coated elastic half space, Math. Mech. Solids DOI: 10.1177/1081286514555451, 2010.
  • Ege, N., Erbaş, B. and Prikazchikov, D. A. On the 3D Rayleigh wave eld on an elastic half-space subject to tangential surface loads, ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik 95 (12), 15581565, 2015.
  • Achenbach, J. Wave propagation in elastic solids (Elsevier, 2012).
  • Kaplunov, J., Zakharov, A. and Prikazchikov, D. A. Explicit models for elastic and piezoe- lastic surface waves, IMA J. Appl. Math. 71 (5), 768782, 2006.
  • Kaplunov, J., Prikazchikov, D. A., Erba³, B. and “ahin, O. On a 3D moving load problem for an elastic half space, Wave Motion 50 (8), 12291238, 2013.
  • Zauderer, E. Partial dierential equations of applied mathematics (Vol. 71, John Wiley & Sons, 2011).
  • Courant, R. and Hilbert, D. Methods of Mathematical Physics (Vol. 2, John Wiley & Sons, 1989).
  • Chadwick, P. Surface and interfacial waves of arbitrary form in isotropic elastic media, J. of Elasticity 6 (1), 7380, 1976.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Nihal Ege

Onur Ş“ahin

Barış Erbaş Bu kişi benim

Yayımlanma Tarihi 1 Ekim 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 46 Sayı: 5

Kaynak Göster

APA Ege, N., Ş“ahin, O., & Erbaş, B. (2017). Response of a 3D elastic half-space to a distributed moving load. Hacettepe Journal of Mathematics and Statistics, 46(5), 817-828.
AMA Ege N, Ş“ahin O, Erbaş B. Response of a 3D elastic half-space to a distributed moving load. Hacettepe Journal of Mathematics and Statistics. Ekim 2017;46(5):817-828.
Chicago Ege, Nihal, Onur Ş“ahin, ve Barış Erbaş. “Response of a 3D Elastic Half-Space to a Distributed Moving Load”. Hacettepe Journal of Mathematics and Statistics 46, sy. 5 (Ekim 2017): 817-28.
EndNote Ege N, Ş“ahin O, Erbaş B (01 Ekim 2017) Response of a 3D elastic half-space to a distributed moving load. Hacettepe Journal of Mathematics and Statistics 46 5 817–828.
IEEE N. Ege, O. Ş“ahin, ve B. Erbaş, “Response of a 3D elastic half-space to a distributed moving load”, Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 5, ss. 817–828, 2017.
ISNAD Ege, Nihal vd. “Response of a 3D Elastic Half-Space to a Distributed Moving Load”. Hacettepe Journal of Mathematics and Statistics 46/5 (Ekim 2017), 817-828.
JAMA Ege N, Ş“ahin O, Erbaş B. Response of a 3D elastic half-space to a distributed moving load. Hacettepe Journal of Mathematics and Statistics. 2017;46:817–828.
MLA Ege, Nihal vd. “Response of a 3D Elastic Half-Space to a Distributed Moving Load”. Hacettepe Journal of Mathematics and Statistics, c. 46, sy. 5, 2017, ss. 817-28.
Vancouver Ege N, Ş“ahin O, Erbaş B. Response of a 3D elastic half-space to a distributed moving load. Hacettepe Journal of Mathematics and Statistics. 2017;46(5):817-28.