Research Article

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

Volume: 46 Number: 5 October 1, 2017
EN

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

Abstract

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.

Keywords

References

  1. Cole, J. and Huth, J. Stresses produced in a half plane by moving loads, J. Appl. Mech. 25, 433436, 1958.
  2. Freund, L. B. Wave motion in an elastic solid due to a nonuniformly moving line load, Quart. Appl. Math. 30, 271281, 1972.
  3. Fryba, L. Vibration of solids and structures under moving loads (Thomas Telford, London, 1999).
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

October 1, 2017

Submission Date

September 1, 2016

Acceptance Date

December 21, 2016

Published in Issue

Year 2017 Volume: 46 Number: 5

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. https://izlik.org/JA88MJ32MM
AMA
1.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):817-828. https://izlik.org/JA88MJ32MM
Chicago
Ege, Nihal, Onur Ş“ahin, and Barış Erbaş. 2017. “Response of a 3D Elastic Half-Space to a Distributed Moving Load”. Hacettepe Journal of Mathematics and Statistics 46 (5): 817-28. https://izlik.org/JA88MJ32MM.
EndNote
Ege N, Ş“ahin O, Erbaş B (October 1, 2017) Response of a 3D elastic half-space to a distributed moving load. Hacettepe Journal of Mathematics and Statistics 46 5 817–828.
IEEE
[1]N. Ege, O. Ş“ahin, and B. Erbaş, “Response of a 3D elastic half-space to a distributed moving load”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, pp. 817–828, Oct. 2017, [Online]. Available: https://izlik.org/JA88MJ32MM
ISNAD
Ege, Nihal - Ş“ahin, Onur - Erbaş, Barış. “Response of a 3D Elastic Half-Space to a Distributed Moving Load”. Hacettepe Journal of Mathematics and Statistics 46/5 (October 1, 2017): 817-828. https://izlik.org/JA88MJ32MM.
JAMA
1.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, et al. “Response of a 3D Elastic Half-Space to a Distributed Moving Load”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 5, Oct. 2017, pp. 817-28, https://izlik.org/JA88MJ32MM.
Vancouver
1.Nihal Ege, Onur Ş“ahin, Barış Erbaş. Response of a 3D elastic half-space to a distributed moving load. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Oct. 1;46(5):817-28. Available from: https://izlik.org/JA88MJ32MM