Abstract
The dynamic responses of a slab track on transversely isotropic saturated soils subjected to moving train loads are investigated by a semi-analytical approach. The track model is described as an upper Euler beam to simulate the rails and a lower Euler beam to model the slab. Rail pads between the rails and slab are represented by a continuous layer of springs and dashpots. A series of point loads are formulated to describe the moving train loads. The governing equations of track-ground systems are solved using the double Fourier transform, and the dynamic responses in the time domain are obtained by the inverse Fourier transform. The results show that a train load with high velocity will generate a larger response in transversely isotropic saturated soil than the lower velocity load, and special attention should be paid on the pore pressure in the vicinity of the ground surface. The anisotropic parameters of a surface soil layer will have greater influence on the displacement and excess pore water pressure than those of the subsoil layer. The traditional design method taking ground soil as homogeneous isotropic soil is unsafe for the case of RE < 1 and RG < 1, so a transversely isotropic foundation model is of great significance to the design for high train velocities.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Abouseiman Y and Cui L (1998), “Poroelastic Solutions in Transversely Isotropic Media for Wellbore and Cylinder,” International Journal of Solids arid Structures, 35(35): 4905–4929.
Bian Xuecheng, Jiang Hongguang and Chen Yunmin (2010), “Accumulative Deformation in Railway Track Induced by High-speed Traffic Loading of the Trains,” Earthquake Engineering and Engineering Vibration, 9: 319–326. (in Chinese)
Biot MA (1956), “Theory of Propagation of Elastic Waves in a Fluid-saturated Porous Solid. Part I: Low-frequency Range; Part II: High-frequency Range,” Journal of the Acoustical Society of America, 28: 168–191.
Biot MA (1962), “Mechanics of Deformation and Acoustic Propagation in Porous Media,” Journal of Applied Physics, 33: 1482–1498.
Burke M and Kingsbury HB (1984), “Response of Poroelastic Layers to Moving Loads,” International Journal of Solids and Structures, 20: 499–511.
Cai YQ, Sun HL and Xu CJ (2008), “Three Dimensional Analysis of Dynamic Responses of Track Ground System Subjected to a Moving Train Load,” Computers and Structures, 836: 816–824.
Cai Yuanqiang, Wang Yu and Cao Zhigang (2011), “Dynamic Analysis of a Slab Track on the Poroelastic Soil Subjected to Moving Loads,” Journal of Vibration Engineering, 24(1): 48–54. (in Chinese)
Chen Guangjing, Zhao Xihong and Yu Li (1998), “Transferring Matrix Method for Solutions of Non-axisymmetric Load Applied to Layered Cross-anisotropic Elastic Body,” Chinese Journal of Geotechnical Engineering, 26(5): 522–527. (in Chinese)
Jin Bo (2004), “Dynamic Response of a Poroelastic Half Space Generated by High Speed Load,” Chinese Quarterly of Mechanics, 25: 168–174. (in Chinese)
Kennedy TC and Herrmann G (1973a), “Moving Load on a Fluid-solid Interface: Subsonic and Intersonic Regimes,” Journal of Applied Mechanics, 40: 885–890.
Kennedy TC and Herrmann G (1973b), “Moving Load on a Fluid-solid Interface: Supersonic Regimes,” Journal of Applied Mechanics, 40:137–142.
Ling Xianzhang, Zhang Feng, Zhu Zhanyuan, Ding Lin and Hu Qingli (2009), “Field Experiment of Subgrade Vibration Induced by Passing Train in a Seasonally Frozen Region of Daqing,“ Earthquake Engineering and Engineering Vibration, 8: 149–157. (in Chinese)
Lu JF and Jeng DS (2007), “A Half-space Saturated Poro-elastic Medium Subjected to a Moving Point Load,” International Journal of Solids and Structures, 44: 573–586.
Picoux B and Le Houedec D (2005), “Diagnosis and Prediction of Vibration from Railway Trains,” Soil Dynamics and Earthquake Engineering, 25(12): 905–921.
Rahman M and Newaz G (2000), “Boussinesq Type Solution for a Transversely Isotropic Half-space Coated with a Thin Film,” International Journal of Engineering Science, 38(7): 807–822.
Siddharthan R, Zafir Z and Norris GM (1993), “Moving Load Response of Layered Soil. I: Formulation; II: Verification and Application,” Journal of Engineering Mechanics, ASCE, 119(10): 2052–2089.
Takemiya H and Bian XC (2005), “Substructure Simulation of Inhomogeneous Track and Layered Ground Dynamic Interaction under Train Passage,” J. Eng. Mech., 131: 699–711.
Theodorakopoulos DD (2003), “Dynamic Analysis of a Poroelastic Half-plane Soil Medium under Moving Loads,” Soil Dynamics and Earthquake Engineering, 23(7): 521–533.
Wang CD, Pan E, Tzeng CS, Han F and Liao JJ (2006), “Displacements and Stresses due to a Uniform Vertical Circular Load in an Inhomogeneous Cross-anisotropic Half-space,” International Journal of Geomechanics, 6(1): 1–10.
Yu HY (2001), “A Concise Treatment of Indentation Problems in Transversely Isotropic Half-space,” International Journal of Solids and Structures, 38(10): 2213–2232.
Yue ZQ (1995), “Elastic Fields in Two Joined Transversely Isotropic Solids due to Concentrated Forces,” International Journal of Engineering Science, 33(3): 351–369.
Author information
Authors and Affiliations
Corresponding author
Additional information
Supported by: the National Basic Research Program of China under Grant No. 2013CB036405, the Key Research Program of the Chinese Academy of Sciences under Grant No. KZZD-EW-05, and the Natural Science Foundation of China under Grant Nos. 41402317, 51209201 and 51279198
Rights and permissions
About this article
Cite this article
Zhan, Y., Yao, H., Lu, Z. et al. Dynamic analysis of slab track on multi-layered transversely isotropic saturated soils subjected to train loads. Earthq. Eng. Eng. Vib. 13, 731–740 (2014). https://doi.org/10.1007/s11803-014-0276-3
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11803-014-0276-3