Dynamic response of a visco-elastic half-space subjected to buried moving loads

LI Yijun; HU Anfeng; LI Cong; MA Yuxi; XU Hao

doi:10.11779/CJGE2024S20021

Volume 46 Issue S2

Turn off MathJax

Article Contents

Abstract

References

Chinese Journal of Geotechnical Engineering > 2024 > 46(S2): 145-149. > DOI: 10.11779/CJGE2024S20021

LI Yijun, HU Anfeng, LI Cong, MA Yuxi, XU Hao. Dynamic response of a visco-elastic half-space subjected to buried moving loads[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(S2): 145-149. DOI: 10.11779/CJGE2024S20021

Citation:

PDF (1352 KB)

Dynamic response of a visco-elastic half-space subjected to buried moving loads

LI Yijun^1,,
HU Anfeng^{2, 3},
LI Cong¹,
MA Yuxi¹,
XU Hao¹

1.
School of Civil Engineering and Architecture, Wuhan Polytechnic University, Wuhan 430023, China
2.
Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China
3.
MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China

More Information

Received Date: June 21, 2024

Graphical Abstract

Abstract

Abstract

The attenuation of the vibration of a three-dimensional visco-elastic half-space subjected to the embedded moving loads is investigated theoretically. By employing the Fourier integral transform method and the Helmholtz decomposition, the Navier equations for the ideal elastic medium are solved, and the dynamic components in the transformed domain are derived in the Cartesian coordinate. Combined with the boundary conditions and continuity conditions, the analytical solutions to the dynamic response of the viscoelastic half-space due to the embedded moving loads are obtained. When the depth of the moving loads is zero, the results obtained in this study are in good agreement with the published ones. By employing the IFFT method, some numerical examples are selected to discuss the influences of the depth, velocity and viscous damping of the soil on the propagation of the vibration and the amplitude spectra of the displacement.
- embedded moving load,
- viscoelastic half-space,
- dynamic response,
- vibration attenuation

FullText(HTML)

References (17)

References

[1]	EASON G. The stresses produced in a semi-infinite solid by a moving surface force[J]. International Journal of Engineering Science, 1965, 2(6): 581-609. doi: 10.1016/0020-7225(65)90038-8
[2]	HUNG H H, YANG Y B. Elastic waves in visco-elastic half-space generated by various vehicle loads[J]. Soil Dynamics and Earthquake Engineering, 2001, 21(1): 1-17. doi: 10.1016/S0267-7261(00)00078-6
[3]	DE BARROS F C P, LUCO J E. Response of a layered viscoelastic half-space to a moving point load[J]. Wave Motion, 1994, 19(2): 189-210. doi: 10.1016/0165-2125(94)90066-3
[4]	BIOT M A. Theory of propagation of elastic waves in a fluid-saturated porous solid. Ⅱ. higher frequency range[J]. The Journal of the Acoustical Society of America, 1956, 28(2): 179-191. doi: 10.1121/1.1908241
[5]	BIOT M A. Mechanics of deformation and acoustic propagation in porous media[J]. Journal of Applied Physics, 1962, 33(4): 1482-1498. doi: 10.1063/1.1728759
[6]	JIN B, YUE Z Q, THAM L G. Stresses and excess pore pressure induced in saturated poroelastic halfspace by moving line load[J]. Soil Dynamics and Earthquake Engineering, 2004, 24(1): 25-33. doi: 10.1016/j.soildyn.2003.09.004
[7]	胡安峰, 孙波, 谢康和. 下卧基岩饱和地基在移动荷载作用下的动力响应[J]. 振动与冲击, 2012, 31(4): 151-156. HU Anfeng, SUN Bo, XIE Kanghe. Dynamic response of saturated subgrade with rock substratum subjected to moving loads[J]. Journal of Vibration and Shock, 2012, 31(4): 151-156. (in Chinese)
[8]	XU B, LU J F, WANG J H. Dynamic response of an infinite beam overlying a layered poroelastic half-space to moving loads[J]. Journal of Sound and Vibration, 2007, 306(1/2): 91-110.
[9]	CAI Y Q, SUN H L, XU C J. Steady state responses of poroelastic half-space soil medium to a moving rectangular load[J]. International Journal of Solids and Structures, 2007, 44(22/23): 7183-7196.
[10]	PAK R Y S. Asymmetric wave propagation in an elastic half-space by a method of potentials[J]. Journal of Applied Mechanics, 1987, 54(1): 121-126. doi: 10.1115/1.3172945
[11]	SENJUNTICHAI T, RAJAPAKSE R K N D. Dynamic Green's functions of homogeneous poroelastic half-plane[J]. Journal of Engineering Mechanics, 1994, 120(11): 2381-2404. doi: 10.1061/(ASCE)0733-9399(1994)120:11(2381)
[12]	陈胜立, 张建民, 陈龙珠. 饱和地基中埋置点源荷载的动力Green函数[J]. 岩土工程学报, 2001, 23(4): 423-426. doi: 10.3321/j.issn:1000-4548.2001.04.008 CHEN Shengli, ZHANG Jianmin, CHEN Longzhu. Dynamic Green's functions of saturated soils subjected to the internal excitation[J]. Chinese Journal of Geotechnical Engineering, 2001, 23(4): 423-426. (in Chinese) doi: 10.3321/j.issn:1000-4548.2001.04.008
[13]	杜秦文, 朱向荣, 丁伯阳. 埋置点源简谐荷载作用下Gibson土体动力Green函数[J]. 工程力学, 2007, 24(2): 45-49. DU Qinwen, ZHU Xiangrong, DING Boyang. Dynamic Green's function for Gibson soil subjected to internal excitation[J]. Engineering Mechanics, 2007, 24(2): 45-49. (in Chinese)
[14]	METRIKINE A V, VROUWENVELDER A C W M. Surface ground vibration due to a moving train in a tunnel: two-dimensional model[J]. Journal of Sound Vibration, 2000, 234(1): 43-66. doi: 10.1006/jsvi.1999.2853
[15]	YUAN Z H, BOSTRÖM A, CAI Y Q. Benchmark solution for vibrations from a moving point source in a tunnel embedded in a half-space[J]. Journal of Sound Vibration, 2017, 387: 177-193. doi: 10.1016/j.jsv.2016.10.016
[16]	FORREST J A, HUNT H E M. A three-dimensional tunnel model for calculation of train-induced ground vibration[J]. Journal of Sound Vibration, 2006, 294(4/5): 678-705.
[17]	ZOU C, WANG Y M, WANG P, et al. Measurement of ground and nearby building vibration and noise induced by trains in a metro depot[J]. The Science of the Total Environment, 2015, 536: 761-773. doi: 10.1016/j.scitotenv.2015.07.123