Coupled systems mechanics

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Random dynamic analysis for simplified vehicle model based on explicit time-domain method

  • Huan Huang (College of Water Conservancy and Civil Engineering, South China Agricultural University) ;
  • Yuyu Li (College of Water Conservancy and Civil Engineering, South China Agricultural University) ;
  • Wenxiong Li (College of Water Conservancy and Civil Engineering, South China Agricultural University) ;
  • Guihe Tang (College of Water Conservancy and Civil Engineering, South China Agricultural University)
  • Received : 2021.06.05
  • Accepted : 2022.06.21
  • Published : 2023.02.25
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Abstract

On the basis of the explicit time-domain method, an investigation is performed on the influence of the rotational stiffness and rotational damping of the vehicle body and front-rear bogies on the dynamic responses of the vehicle-bridge coupled systems. The equation of motion for the vehicle subsystem is derived employing rigid dynamical theories without considering the rotational stiffness and rotational damping of the vehicle body, as well as the front-rear bogies. The explicit expressions for the dynamic responses of the vehicle and bridge subsystems to contact forces are generated utilizing the explicit time-domain method. Due to the compact wheel-rail model, which reflects the compatibility requirement of the two subsystems, the explicit expression of the evolutionary statistical moment for the contact forces may be performed with relative ease. Then, the evolutionary statistical moments for the respective responses of the two subsystems can be determined. The numerical results indicate that the simplification of vehicle model has little effect on the responses of the bridge subsystem and the vehicle body, except for the responses of the rotational degrees of freedom for the vehicle subsystem, regardless of whether deterministic or random analyses are performed.

Keywords

Acknowledgement

The research described in this paper was financially supported by Guangdong Basic and Applied Basic Research Foundation, China (Grant No. 2020A1515010611, Grant No. 2021A1515012280).

References

  1. Au, F.T.K., Wang, J.J. and Cheung, Y.K. (2002), "Impact study of cable-stayed railway bridges with random rail irregularities", Eng. Struct., 24(5), 529-541. https://doi.org/10.1016/S0141-0296(01)00119-5.
  2. Bathe, K.J. (1996), Finite Element Procedures, Englewood Cliffs, Prentice-Hall, NJ, USA.
  3. Deng, L., Duan, L.L., He, W. and Ji, W. (2018), "Study on vehicle model for vehicle-bridge coupling vibration of highway bridges in China", China J. Highw. Transp., 31(7), 92-100. (in Chinese) https://doi.org/10.1590/1679-78251099.
  4. Huang, H., Zheng, H.B., Deng, J.L., Li, W.X. and Li, Y.Y. (2022), "Random analysis of coupled vehiclebridge systems with local nonlinearities based on explicit time-domain method", Nonlin. Dyn., 108, 81-95. https://doi.org/10.1007/s11071-021-07190-9.
  5. Lee, H.P. (1994), "Dynamic response of a beam with intermediate point constraints subjected to a moving load", J. Sound Vib., 171(3), 361-368. https://doi.org/10.1006/jsvi.1994.1126.
  6. Li, J.Q., Leng, X.L. and Fang, T. (2002), "Evolutionary random response problem of a coupled vehiclebridge system", Arch. Appl. Mech., 72(6-7), 536-544. https://doi.org/10.1007/s00419-002-0229-6.
  7. Li, W.X. and Ma, H.T. (2019), "A novel model order reduction scheme for fast and accurate material nonlinear analyses of large-scale engineering structures", Eng. Struct., 193, 238-257. https://doi.org/10.1016/j.engstruct.2019.04.036.
  8. Lu, F., Lin J.H, Kennedy, D. and Williams, F.W. (2009), "An algorithm to study non-stationary random vibration of vehicle-bridge systems", Compos. Struct., 87, 177-185. https://doi.org/10.1016/j.compstruc.2008.10.004.
  9. Mahmoud, M.A. and Zai, M.A.A. (2002), "Dynamic response of a beam with a crack subject to a moving mass", J. Sound Vib., 256(4), 591-603. https://doi.org/10.1006/jsvi.2001.4213.
  10. Michaltsos, G., Sophianopoulos, D. and Kounadis, A.N. (1996), "The effect of a moving mass and other parameters on the dynamic response of a simply supported beam", J. Sound Vib., 191(3), 357-362. https://doi.org/10.1006/jsvi.1996.0127.
  11. Mu, D., Gwon, S.G. and Choi, D.H. (2016), "Dynamic responses of a cable-stayed bridge under a high speed train with random track irregularities and a vertical seismic load", Int. J. Steel Struct., 16(4), 1339-1354. https://doi.org/10.1007/s13296-016-0104-x.
  12. Pesterev, A.V. and Bergman, L.A. (2000), "An improved series expansion of the solution to the moving oscillator problem", J. Vib. Acoust., 122(1), 54-61. https://doi.org/10.1115/1.568436.
  13. Podworna, M. and Klasztorny, M. (2014), "Vertical vibrations of composite bridges/track structure/highspeed train systems, Part 2: Physical and mathematical modelling", Bull. Polish Acad. Sci. Tech. Sci., 62(1), 181-196. https://doi.org/10.2478/bpasts-2014-0019.
  14. Stojanovi, V., Petkovi, M.D. and Deng, J. (2018), "Instability of vehicle systems moving along an infinite beam on a viscoelastic foundation", Eur. J. Mech. A/Solid., 69(1), 238-254. https://doi.org/10.1016/j.euromechsol.2017.12.007.
  15. Su, C. and Xu, R. (2014), "Random vibration analysis of structures by a time-domain explicit formulation method", Struct. Eng. Mech., 52(2), 239-260. https://doi.org/10.12989/sem.2014.52.2.239.
  16. Su, C., Huang, H. and Ma, H.T. (2016), "Fast equivalent linearization method for nonlinear structures under nonstationary random excitations", J. Eng. Mech., 142(8), 04016049. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001094.
  17. Su, C., Huang, H., Ma, H.T. and Xu, R. (2014), "Explicit MCS for random vibration of hysteretic systems by an explicit iteration approach", Earthq. Struct., 7(2), 119-139. https://doi.org/10.12989/eas.2014.7.2.119
  18. Su, C., Wu, Z.Z. and Xian, J.H. (2020), "Stochastic dynamic analysis of vehicle-bridge coupled systems with nonlinear Hertz contacts by explicit time-domain method", Vehic. Dyn. Syst., 7, 1-24. https://doi.org/10.1080/00423114.2020.1864418.
  19. Thambiratnam, D. and Zhuge, Y. (1996), "Dynamic analysis of beams on an elastic foundation subjected to moving loads", J. Sound Vib., 198(2), 149-169. https://doi.org/10.1006/jsvi.1996.0562.
  20. Xiao, X., Yan, Y. and Chen, B. (2019), "Stochastic dynamic analysis for vehicle-track-bridge system based on probability density evolution method", Eng. Struct., 188, 745-761. https://doi.org/10.1016/j.engstruct.2019.02.042.
  21. Yang, Y.B. and Lin, C.W. (2005), "Vehicle-bridge interaction dynamics and potential applications", J. Sound Vib., 284(1-2), 205-226. https://doi.org/10.1016/j.jsv.2004.06.032.
  22. Yin, X., Zhi, F., Cai, C.S. and Deng, L. (2010), "Non-stationary random vibration of bridges under vehicles with variable speed", Eng. Struct., 32(8), 2166-2174. https://doi.org/10.1016/j.engstruct.2010.03.019.
  23. Yu, H.L., Wang, B., Xia, C.P. and Li, Y.L. (2021), "Efficient non-stationary random vibration analysis of vehicle-bridge system based on an improved explicit time-domain method", Eng. Struct., 231, 111785. https://doi.org/10.1016/j.engstruct.2020.111786.
  24. Yu, Z.W., Mao, J.F., Guo, F.Q. and Guo, W. (2015), "Non-stationary random vibration analysis of a 3D trainbridge system using the probability density evolution method", J. Sound Vib., 366, 173-189. https://doi.org/10.1016/j.jsv.2015.12.002.
  25. Zhai, W.M. (2015), Vechicle-Track Coupled Dynamic, China Science Publishing & Media Ltd, Beijing. (in Chinese)
  26. Zhang, N. and Xia, H. (2013), "A vehicle-bridge interaction dynamic system analysis method based on intersystem iteration", China Railw. Sci., 34(5), 32-38. (in Chinese) https://doi.org/10.3969/j.issn.1001-4632.2013.05.06.