Technical Papers
Jan 15, 2021

Semianalytical Solution for Dynamic Responses of Railway Track System on Unsaturated Poroelastic Half-Space Subjected to Moving Trainload

Publication: International Journal of Geomechanics
Volume 21, Issue 3

Abstract

A track-unsaturated ground model was proposed to study the dynamic responses of the unsaturated subgrade induced by moving trainloads. The subgrade was modeled by an unsaturated poroelastic half-space, and the railway track system comprises a rail, sleepers, and ballast. The double Fourier transform was applied to solve the governing equations of the entire system in the frequency domain. The semianalytical results in the time domain were further obtained using the fast inverse Fourier transform. The effects of saturation, train speeds, and intrinsic permeability of soil on the dynamic responses were studied in both the time and frequency domain. It was found that the effects of saturation and train speed on the responses of displacement, acceleration, and pore-water pressure are significant. For low saturation, the vertical displacement response of unsaturated half-space is similar to that of the elastic half-space, and the intrinsic permeability has little effect. While for high saturation, the amplitude of vertical displacement increases with the increase of intrinsic permeability of the soil.

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Acknowledgments

This work was supported by the Outstanding Youth Foundation of Hubei Province (2017CFA056) and the National Natural Science Foundation of China (41672312 and 41972294).

References

Basu, D., and N. S. V. K. Rao. 2013. “Analytical solutions for Euler–Bernoulli beam on visco-elastic foundation subjected to moving load.” Int. J. Numer. Anal. Methods Geomech. 37 (8): 945–960. https://doi.org/10.1002/nag.1135.
Biot, M. A. 1956. “Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low-frequency range.” J. Acoust. Soc. Am 28: 168–191. https://doi.org/10.1121/1.1908239.
Cai, Y., H. Sun, and C. Xu. 2008. “Response of railway track system on poroelastic half-space soil medium subjected to a moving train load.” Int. J. Solids Struct. 45 (18–19): 5015–5034. https://doi.org/10.1016/j.ijsolstr.2008.05.002.
Chen, Y. Y., N. D. Beskou, and J. Qian. 2018. “Dynamic response of an elastic plate on a cross-anisotropic poroelastic half-plane to a load moving on its surface.” Soil Dyn. Earthquake Eng. 107: 292–302. https://doi.org/10.1016/j.soildyn.2018.01.038.
Fang, R., Z. Lu, H. Yao, X. Luo, and M. Yang. 2018. “Study on dynamic responses of unsaturated railway subgrade subjected to moving train load.” Soil Dyn. Earthquake Eng. 115: 319–323. https://doi.org/10.1016/j.soildyn.2018.08.037.
Galvin, P., A. Romero, and J. Dominguez. 2010. “Fully three-dimensional analysis of high-speed train–track–oil–structure dynamic interaction.” J. Sound Vib. 329 (24): 5147–5163. https://doi.org/10.1016/j.jsv.2010.06.016.
Kacimi, A. E., P. K. Woodward, O. Laghrouche, and G. Medero. 2013. “Time domain 3D finite element modelling of train-induced vibration at high speed.” Comput. Struct. 118 (6): 66–73. https://doi.org/10.1016/j.compstruc.2012.07.011.
Kargarnovin, M. H., and D. Younesian. 2004. “Dynamics of Timoshenko beams on Pasternak foundation under moving load.” Mech. Res. Commun. 31 (6): 713–723. https://doi.org/10.1016/j.mechrescom.2004.05.002.
Kargarnovin, M. H., D. Younesian, D. J. Thompson, and C. J. C. Jones. 2005. “Response of beams on nonlinear viscoelastic foundations to harmonic moving loads.” Comput. Struct. 83 (23–24): 1865–1877. https://doi.org/10.1016/j.compstruc.2005.03.003.
Kenney, J. 1954. “Steady-state vibrations of beam on elastic foundation for moving load.” J. Appl. Mech. 21: 359–364.
Kim, S. M. 2004. “Vibration and stability of axial loaded beams on elastic foundation under moving harmonic loads.” Eng. Struct. 26 (1): 95–105. https://doi.org/10.1016/j.engstruct.2003.09.001.
Lefeuve-Mesgouez, G., and A. Mesgouez. 2008. “Ground vibration due to a high-speed moving harmonic rectangular load on a poroviscoelastic half-space.” Int. J. Solids Struct. 45 (11–12): 3353–3374. https://doi.org/10.1016/j.ijsolstr.2008.01.026.
Lefeuve-Mesgouez, G., and A. Mesgouez. 2012. “Three-dimensional dynamic response of a porous multilayered ground under moving loads of various distributions.” Adv. Eng. Software 46 (1): 75–84. https://doi.org/10.1016/j.advengsoft.2010.09.006.
Lu, Z., R. Fang, H. Yao, C. Dong, and S. Xian. 2018a. “Dynamic responses of unsaturated half-space soil to a moving harmonic rectangular load.” Int. J. Numer. Anal. Methods Geomech. 42 (9): 1057–1077. https://doi.org/10.1002/nag.2780.
Lu, Z., Z. Hu, H. Yao, and J. Liu. 2018b. “Field evaluation and analysis of road subgrade dynamic responses under heavy duty vehicle.” Int. J. Pavement Eng. 19 (12): 1077–1086. https://doi.org/10.1080/10298436.2016.1240560.
Mallik, A. K., S. Chandra, and A. B. Singh. 2006. “Steady-state response of an elastically supported infinite beam to a moving load.” J. Sound Vib. 291 (3–5): 1148–1169. https://doi.org/10.1016/j.jsv.2005.07.031.
Metrikine, A. V., and K. Popp. 2000. “Steady-state vibrations of an elastic beam on a visco-elastic layer under moving load.” Arch. Appl. Mech 70 (6): 399–408. https://doi.org/10.1007/s004199900071.
Picoux, B., and D. Le Houédec. 2005. “Diagnosis and prediction of vibration from railway trains.” Soil Dyn. Earthquake Eng. 25 (12): 905–921. https://doi.org/10.1016/j.soildyn.2005.07.002.
Picoux, B., R. Rotinat, J. P. Regoin, and D. Le Houédec. 2003. “Prediction and measurements of vibrations from a railway track lying on a peaty ground.” J. Sound Vib. 267 (3): 575–589. https://doi.org/10.1016/S0022-460X(03)00725-9.
Sheng, X., C. J. C. Jones, and M. Petyt. 1999. “Ground vibration generated by a load moving along a railway track.” J. Sound Vib. 228 (1): 129–156. https://doi.org/10.1006/jsvi.1999.2406.
Sheng, X., C. J. C. Jones, and D. J. Thompson. 2004. “A theoretical study on the influence of the track on train-induced ground vibration.” J. Sound Vib. 272 (3–5): 909–936. https://doi.org/10.1016/S0022-460X(03)00781-8.
Steeb, H., P. S. Kurzeja, and S. M. Schmalholz. 2014. “Wave propagation in unsaturated porous media.” Acta Mech. 225 (8): 2435–2448. https://doi.org/10.1007/s00707-014-1135-z.
Sun, H., Y. Cai, and C. Xu. 2010. “Three-dimensional simulation of track on poroelastic half-space vibrations due to a moving point load.” Soil Dyn. Earthquake Eng. 30 (10): 958–967. https://doi.org/10.1016/j.soildyn.2010.04.007.
Takemiya, H., and X. C. Bian. 2005. “Substructure simulation of inhomogeneous track and layered ground dynamic interaction under train passage.” J. Eng. Mech. 131 (7): 699–711. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:7(699).
Wang, L. 1985. Fundamental of stress wave. Beijing: National Defense Industry Press.
Xu, B., J. F. Lu, and J. H. Wang. 2007. “Dynamic response of an infinite beam overlying a layered poroelastic half-space to moving loads.” J. Sound Vib. 306 (1–2): 91–110. https://doi.org/10.1016/j.jsv.2007.05.031.
Zhao, C., B. E. Hobbs, and A. Ord. 2008a. Convective and advective heat transfer in geological systems. Berlin: Springer.
Zhao, C., B. E. Hobbs, and A. Ord. 2009. Fundamentals of computational geoscience: Numerical methods and algorithms. Berlin: Springer.
Zhao, C. B., B. E. Hobbs, P. Hornby, A. Ord, S. L. Peng, and L. M. Liu. 2008b. “Theoretical and numerical analyses of chemical-dissolution front instability in fluid-saturated porous rocks.” Int. J. Numer. Anal. Methods Geomech. 32 (9): 1107–1130. https://doi.org/10.1002/nag.661.
Zhao, C. B., B. E. Hobbs, and A. Ord. 2010. “Theoretical analyses of nonaqueous phase liquid dissolution-induced instability in two-dimensional fluid-saturated porous media.” Int. J. Numer. Anal. Methods Geomech. 34 (17): 1767–1796. https://doi.org/10.1002/nag.880.
Zhao, C. B., B. E. Hobbs, and A. Ord. 2015. “Theoretical analyses of chemical dissolution-front instability in fluid-saturated porous media under non-isothermal conditions.” Int. J. Numer. Anal. Methods Geomech. 39 (8): 799–820. https://doi.org/10.1002/nag.2332.
Zhao, C. B., B. E. Hobbs, A. Ord, S. L. Peng, and L. M. Liu. 2008c. “Inversely-mapped analytical solutions for flow patterns around and within inclined elliptic inclusions in fluid-saturated rocks.” Math. Geosci. 40 (2): 179–197. https://doi.org/10.1007/s11004-007-9138-0.
Zhao, C. B., B. E. Hobbs, K. Regenauer-Lieb, and A. Ord. 2011. “Computational simulation for the morphological evolution of nonaqueous phase liquid dissolution fronts in two-dimensional fluid-saturated porous media.” Comput. Geosci. 15 (1): 167–183. https://doi.org/10.1007/s10596-010-9206-2.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 21Issue 3March 2021

History

Received: Apr 8, 2020
Accepted: Oct 23, 2020
Published online: Jan 15, 2021
Published in print: Mar 1, 2021
Discussion open until: Jun 15, 2021

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Chuxuan Tang [email protected]
Ph.D. Student, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China; Ph.D. Student, Univ. of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China. Email: [email protected]
Professor, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China; Hubei Key Laboratory of Geo-Environmental Engineering, Wuhan 430071, People’s Republic of China (corresponding author). Email: [email protected]
Professor, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China. Email: [email protected]
Engineer, Hunan Communications Research Institute Co. Ltd., Changsha 410015, China. Email: [email protected]
Xiangqun Huang [email protected]
Engineer, Hunan Communications Research Institute Co. Ltd., Changsha 410015, China. Email: [email protected]
Assistant Professor, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, People’s Republic of China. Email: [email protected]

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