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Study on the influence of seismic intensity on the mechanical properties of ballast bed based on discrete element method

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To explore the impact of seismic intensity on the working performance of ballasted track bed, the seismic acceleration corresponding to earthquakes of magnitude 6, 7, 8, and 9 is obtained through the method of artificial synthetic seismic wave, and the ground motion is added to the discrete element model of the ballasted track to realize loading. The synthetic method of seismic wave adopts the spectrum representation method of the simulation of an essentially non-stationary random process, in which the modulation function is the time–frequency modulation function, and the self-power spectrum is the Kanai–Tajimi spectrum. The feasibility of this method is verified by comparing the mean value, standard deviation and autocorrelation of the generated seismic motion with the target value. The discrete element method is used to establish the ballast bed model, and the reliability of the model is verified by lateral resistance and vertical stiffness. Based on the above research results, the seismic waves under four seismic intensities are added to the bottom wall of the discrete element model, and it is concluded that the seismic intensity has a significant impact on the working performance of the ballast bed. With the increase in the seismic intensity, the lateral and vertical displacement of the sleeper, the lateral and vertical stress of the track bed, and the displacement–velocity–acceleration value of the bottom ballast particles all increase; compared with the other three earthquake intensities, the dynamic impact of the magnitude 9 earthquake intensity is more significant; under different seismic intensities, the displacement, stress and dynamic characteristics of ballast increase with the increase in seismic action time.

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References

  1. Shinozuka M (1971) Simulation of multivariate and multidimensional random processes. J Acoust Soc Am 49(1):357–368

    Article  Google Scholar 

  2. Shinozuka M, Jan CM (1972) Digital simulation of random processes and its applications. J Sound Vib 25(1):111–128

    Article  Google Scholar 

  3. Shinozuka M, Deodatis G (1991) Simulation of stochastic processes by spectral representation. Appl Mech Rev 44(4):191–204

    Article  MathSciNet  Google Scholar 

  4. Shinozuka M, Deodatis G (1996) Simulation of multi-dimensional Gaussian stochastic fields by spectral representation. Appl Mech Rev 49(1):29–53

    Article  Google Scholar 

  5. Deodatis G, Shinozuka M (1989) Simulation of seismic ground motion using stochastic waves. J Eng Mech 115(12):2723–2737

    Article  Google Scholar 

  6. Deodatis G (1996) Non-stationary stochastic vector processes: seismic ground motion applications. Probab Eng Mech 11:149–168

    Article  Google Scholar 

  7. Yang JN (1972) Simulation of random envelope processes. J Sound Vib 21(1):73–85

    Article  Google Scholar 

  8. Priestley MB (1965) Evolutionary spectra and non-stationary processes. J R Stat Soc B 27:204–237

    Article  MathSciNet  Google Scholar 

  9. Priestley MB (1967) Power spectral analysis of non-stationary random processes. J Sound Vib 6(1):86–97

    Article  Google Scholar 

  10. Bycroft GN (1960) White noise representation of earthquakes. J Eng Mech Div 86(2):1–16

    Article  Google Scholar 

  11. Kanai K (1975) Semi-empirical formula for the seismic characteristics of the ground. Bull Earthq Res Inst Univ Tokyo Japan 35(2):308–325

    Google Scholar 

  12. Tajimi H (1960) A statistical method of determining the maximum response of a structure during an earthquake. In: 2nd WCEE, Tokyo, Japan

  13. Wang D, Yu FX, Kong F et al (2022) Simulation of fully non-stationary random processes using generalized harmonic wavelets. Mech Syst Signal Process 181:1–21

    Article  Google Scholar 

  14. Admin M, Ang HS (1968) Non-stationary stochastic models of earthquake. J Eng Mech 94(2):1–5

    Google Scholar 

  15. Ohsaki Y (1979) On the significance of phase contents in earthquake ground motions. Earthq Eng Struct Dyn 7(5):427–439

    Article  Google Scholar 

  16. Esmaeili M, Noghabi HH (2013) Investigating seismic behavior of ballast-ed railway track in earthquake excitation using finite-element model in three-dimensional space. J Transp Eng 139(7):697–708

    Article  Google Scholar 

  17. Diana G (1989) Dynamic interactional of railway systems with large bridges. Veh Syst Dyn 18(1–3):71–106

    Article  Google Scholar 

  18. Maragakis (1996) Full-scale resonance tests of a railway bridge. Building an International Community of Structural Engineering, ASCE, pp 183–190

  19. Yan B, Pan WB, Liu S et al (2017) Research on seismic response of simply supported beam bridge-track system of 30t axle load heavy haul railway. Vib Shock 36(03):189–195

    Google Scholar 

  20. Yang CW, Tong XH, Wang D et al (2020) Shaking table test of dynamic response law of subgrade with ballast track under earthquake. Rock Soil Mech 41(07):2215–2223

    Google Scholar 

  21. Yu J, Jiang LZ, Zhou WB (2022) Study of the target earthquake-induced track irregularity spectrum under transverse random earthquakes. Int J Struct Stab Dyn 22(16):225

    Article  Google Scholar 

  22. Takahashi R, Hayano K, Nakamura T et al (2019) Integrated risk of rail buckling in ballasted tracks at transition zones and its countermeasures. Soils Found 59(2):517–531

    Article  Google Scholar 

  23. Guo YL, Shi C, Zhao CF et al (2022) Numerical analysis of train-track-subgrade dynamic performance with crumb rubber in ballast layer. Constr Build Mater 336:1–15

    Article  Google Scholar 

  24. Guo YL, Zong L, Markine V et al (2021) Experimental and numerical study on lateral and longitudinal resistance of ballasted track with nailed sleeper. Int J Rail Transp 10(1):114–132

    Article  Google Scholar 

  25. Jing GQ, Luo Q, Wang ZJ et al (2014) Micro-analysis of lateral ballast resistance of seismic characteristics. J Vibroengineering 16(1):533–544

    Google Scholar 

  26. Liang JW, Chaudhuri SR, Shinozuka M (2007) Simulation of non-stationary stochastic processes by spectral representation. J Eng Mech 133(6):616–627

    Article  Google Scholar 

  27. Liu J, Zeng B, Wu LQ (2015) Spectral representation of non-stationary ground motion process simulation—random function method. J Vib Eng 28(03):411–417

    Google Scholar 

  28. Liu ZJ, Fang X (2013) Simulation of stochastic function-spectrum representation of stationary ground motion process. Vib Shock 32(24):6–10+37

    Google Scholar 

  29. Li J, Chen JB (2007) The number theoretical method in response analysis of nonlinear stochastic structures. Comput Mech 39(6):693–708

    Article  MathSciNet  Google Scholar 

  30. Zerva A (2009) Spatial variation of seismic ground motions: modeling and engineering application. CRC Press, New York

    Google Scholar 

  31. Clough RW, Penzien J (1975) Dynamics of structures. McGraw-Hill, New York

    Google Scholar 

  32. Cacciola P, Deodatis G (2011) A method for generating fully non-stationary and spectrum-compatible ground motion vector processes. Soil Dyn Earthq Eng 31:351–360

    Article  Google Scholar 

  33. Liu ZJ, Liu ZH, Liu W (2017) Probability model and response spectrum fitting of completely non-stationary ground motion process. Vib Shock 36(02):32–38

    Google Scholar 

  34. National Standardization Administration of the State Administration of Market Supervision and Administration. China Seismic Intensity Scale, China Standards Press, Beijing, 2020

  35. Chen XM, Chen N (2022) Research on the working performance of fouled ballast bed under the multi-scale effect. Proc Inst Mech Eng Part F J Rail Rapid Transit 236(10):1234–1241

    Article  Google Scholar 

  36. Ngo TN, Indraratna B, Rujikiatkamjorn C (2017) Micromechanics-based investigation of fouled ballast using large-scale triaxial tests and discrete element modeling. J Geotech Geoenviron Eng 143(2):1–16

    Article  Google Scholar 

  37. Ngo TN, Indraratna B, Rujikiatkamjorn C (2014) DEM simulation of the behaviour of geogrid stabilised ballast fouled with coal. Comput Geotech 55:224–231

    Article  Google Scholar 

  38. Guo YL, Zhao CF, Markine V et al (2020) Calibration for discrete element modelling of railway ballast: a review. Transp Geotech 23:100341

    Article  Google Scholar 

  39. Li LF, Liu WF, Ma M (2019) Research on the dynamic behaviour of the railway ballast assembly subject to the low loading condition based on a tridimensional DEM-FDM coupled approach. Constr Build Mater 218:135–149

    Article  Google Scholar 

  40. Ministry of Railways of the P.R.C. (2008) Railway ballast, China Railway Publishing House Co, Ltd, Beijing

  41. National Railway Administration (2017) Code for design of heavy duty railway. China Railway Press, Beijing

    Google Scholar 

  42. National Railway Administration (2017) Code for design of railway track. China Railway Press, Beijing

    Google Scholar 

  43. Itasca Consulting Group Inc. (2013) Particle flow code. Itasca, Minnesotam U.S.A

  44. Ministry of Housing and Urban-Rural Development of the P.R.C. (2010) Code for seismic design of buildings. China Construction Industry Press, Beijing

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Correspondence to Xianmai Chen.

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Chen, X., Deng, Y., Chen, N. et al. Study on the influence of seismic intensity on the mechanical properties of ballast bed based on discrete element method. Comp. Part. Mech. 11, 675–687 (2024). https://doi.org/10.1007/s40571-023-00646-2

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