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.
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
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- Fryba, L. Vibration of solids and structures under moving loads (Thomas Telford, London, 1999).
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- 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.
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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., Şahin, 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, Şahin 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 Şahin, 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, Şahin 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. Şahin, 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 - Şahin, 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, Şahin 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 Şahin, 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