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Surface Vibration of a Layered Saturated Ground Subjected to an Embedded Moving Load

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Abstract

The dynamic response of a layered poroelastic ground subjected to a buried moving load is analyzed by using the Fourier transform and the TRM method. Soil is idealized as a fully saturated poroelastic medium obeying Biot’s theory. A modified hysteretic damping model is introduced to describe the visco-elastic behavior of the soil. Using the Fourier transform and the inverse Fourier transform, the integral form solutions for dynamic response of a layered saturated half-plane under a buried moving load are obtained. When the layered half-plane is reduced to a homogeneous poroelastic half-plane, the results obtained in this paper are in good agreement with the published paper. At last, the vibration characteristics of three different cases in both frequency domain and time domain are investigated. And the influence of depth, speed and frequency of the buried load was also discussed by some numerical examples.

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References

  1. Sneddon I N. (1952). The stress produced by a pulse of pressure moving along the surface of a semi-infinite solid. Rendiconti del Circolo Matematico di Palermo, 1(1): 57–62.

    Google Scholar 

  2. Eason G. (1965). The stresses produced in a semi-infinite solid by a moving surface force. International Journal of Engineering Science, 2(6): 581–609.

    Google Scholar 

  3. Hung H H, Yang Y B. (2001). Elastic waves in visco-elastic half-space generated by various vehicle loads. Soil dynamics and earthquake engineering, 21(1): 1–17.

    Google Scholar 

  4. 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(2): 168–178.

    Google Scholar 

  5. Biot M A. (1962). Mechanics of deformation and acoustic propagation in porous media. Journal of applied physics, 33(4): 1482–1498.

    Google Scholar 

  6. Burke M, Kingsbury H B. (1984). Response of poroelastic layers to moving loads. International Journal of Solids and Structures, 20(5): 499–511.

    Google Scholar 

  7. Siddharthan R, Zafir Z, Norris G M. (1993). Moving load response of layered soil. I: Formulation [J]. Journal of engineering mechanics, 119(10): 2052–2071.

    Google Scholar 

  8. Theodorakopoulos D D. (2003). Dynamic analysis of a poroelastic half-plane soil medium under moving loads. Soil Dynamics and Earthquake Engineering, 23(7): 521–533.

    Google Scholar 

  9. Lu J F, Jeng D S. (2007). A half-space saturated poro-elastic medium subjected to a moving point load. International Journal of Solids and Structures, 44(2): 573–586.

    Google Scholar 

  10. Hu A F, Sun B, Xie K H. (2012). Dynamic response of saturated subgrade with rock substratum subjected to moving loads. Journal of Vibration and Shock, 31(4): 151–156 [In Chinese].

    Google Scholar 

  11. Bo J. (2004). Dynamic responses of a poroelastic half space generated by high speed load. Chinese Quarterly of Mechanics, 25(2): 168–174.

    Google Scholar 

  12. Jin B, Yue Z Q, Tham L G. (2004). Stresses and excess pore pressure induced in saturated poroelastic halfspace by moving line load. Soil Dynamics and Earthquake Engineering, 24(1): 25–33.

    Google Scholar 

  13. Zhou Y, Zhang R Y, Liu G B. (2011). Dynamic response of elastic layer on transversely isotropic saturated soil to train load. Rock and Soil Mechanics, 32(2): 604–610.

    Google Scholar 

  14. Cai Y, Sun H, Xu C. (2007). Steady state responses of poroelastic half-space soil medium to a moving rectangular load. International Journal of Solids and Structures, 44(22–23): 7183–7196.

    Google Scholar 

  15. Lefeuve-Mesgouez G, Mesgouez A. (2008). Ground vibration due to a high-speed moving harmonic rectangular load on a poroviscoelastic half-space. International Journal of Solids and Structures, 45(11–12):3353–3374.

    Google Scholar 

  16. Lefeuve-Mesgouez G, Mesgouez A. (2012).Three-dimensional dynamic response of a porous multilayered ground under moving loads of various distributions. Advances in Engineering Software, 46(1): 75–84.

    Google Scholar 

  17. Ghislain R. Franssens (1983). Calculation of the elasto-dynamic Green’s function in layered media by means of a modified propagator matrix method. Geophysical Journal International, 75(3):669–691.

    Google Scholar 

  18. Zienkiewicz O C, Taylor R L, Zhu J Z. (2013). The Finite Element Method: Its Basis and Fundamentals (Seventh Edition), McGraw-Hill Book Company, UK.

    Google Scholar 

  19. Senjuntichai T, Rajapake R. (1995). Exact stiffness method for quasi-statics of a multi-layered poroelastic medium. International Journal of Solids and Structures, 32(11):1535–1553.

    Google Scholar 

  20. J.E. Luco, R.J. Apsel. (1983). On the Green’s functions for a layered half-space. Part I. Bulletin of the Seismological Society of America, 73(4): 909–929.

    Google Scholar 

  21. R.J. Apsel, J.E.Luco. (1983).On the Green’s functions for a layered half-space. Part II. Bulletin of the Seismological Society of America, 73(4): 931–951.

    Google Scholar 

  22. Xu B, Lu J F, Wang J H. (2008). Dynamic response of a layered water-saturated half space to a moving load. Computers and Geotechnics, 35(1): 1–10.

    Google Scholar 

  23. Xu M Q, Jian L H, Li J H. (2009). Dynamic response of a layered saturated soil subjected to harmonic horizontal loads. Rock and Soil Mechanics, 30(9): 2633–2642 [In Chinese].

    Google Scholar 

  24. Sneddon I N. (1951). Fourier transforms. New York: McGraw-Hill Book Company.

    Google Scholar 

  25. Senjuntichai T, Rajapake R. (1994). Dynamic green’s functions of homogeneous poroelastic half-plane. Journal of Engineering Mechanics, 120(11): 2381–2404.

    Google Scholar 

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Correspondence to Yijun Li .

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Hu, A., Li, Y., Sun, B., Xie, K. (2018). Surface Vibration of a Layered Saturated Ground Subjected to an Embedded Moving Load. In: Bian, X., Chen, Y., Ye, X. (eds) Environmental Vibrations and Transportation Geodynamics. ISEV 2016. Springer, Singapore. https://doi.org/10.1007/978-981-10-4508-0_5

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  • DOI: https://doi.org/10.1007/978-981-10-4508-0_5

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