Interaction and multiscale mechanics

  • 제3권4호
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  • Pages.333-342
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  • 2010
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  • 1976-0426(pISSN)
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  • 2092-6200(eISSN)
테크노프레스 (Techno-Press)
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Stochastic space vibration analysis of a train-bridge coupling system

  • Li, Xiaozhen (School of Civil Engineering, Southwest Jiaotong University) ;
  • Zhu, Yan (School of Civil Engineering, Southwest Jiaotong University)
  • 투고 : 2010.07.26
  • 심사 : 2010.10.22
  • 발행 : 2010.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

The Pseudo-Excitation Method (PEM) is applied to study the stochastic space vibration responses of train-bridge coupling system. Each vehicle is modeled as a four-wheel mass-spring-damper system with two layers of suspension system possessing 15 degrees-of- freedom. The bridge is modeled as a spatial beam element, and the track irregularity is assumed to be a uniform random process. The motion equations of the vehicle system are established based on the d'Alembertian principle, and the motion equations of the bridge system are established based on the Hamilton variational principle. Separate iteration is applied in the solution of equations. Comparisons with the Monte Carlo simulations show the effectiveness and satisfactory accuracy of the proposed method. The PSD of the 3-span simply-supported girder bridge responses, vehicle responses and wheel/rail forces are obtained. Based on the $3{\sigma}$ rule for Gaussian stochastic processes, the maximum responses of the coupling system are suggested.

키워드

참고문헌

  1. Di Paola, M. and Ricciardi, G. (1997), "Vibration of a bridge under a random train of moving loads", Probabilistic Mechanics and Structural and Geotechnical Reliability, Proceedings of the Specialty Conference.
  2. Ding, Jianhua, Li, Jilong and Gao, Nong (1997), "Random analysis of simple beam bridges under vehicle flow loads", J. Harbin Univ. C.E. Architect., 30(2), 109-114. (in Chinese)
  3. Fang Tong et al. (2002), "A unified approach to evolutionary random response problem", J. Vib. Eng., 15(3), 290-294. (in Chinese)
  4. Fryba, L. (1976), "Non-stationary response of a beam to a moving random force", J. Sound Vib., 46(3), 323-328. https://doi.org/10.1016/0022-460X(76)90857-9
  5. Jin, Zhibin (2007), "Train-track-bridge system and train-bridge stochastic vibration", Southwest Jiaotong University. (in Chinese)
  6. Li, Xiaozhen (2000), "Studies on theory and application of train-bridge system coupling vibration in high-speed railway", Southwest Jiaotong University. (in Chinese)
  7. Li, Junqiang (2000), "A unified approach to evolutionary random response problems and its applications", Northwestern Polytechnical University. (in Chinese)
  8. Li, Xiao-Zhen and Zhu, Yan (2010), "Stochastic analysis of train-bridge time-varying vertical system", J. Wuhan Univ. Technol., 32(9), 356-359.
  9. Lin, J.H. and Zhang, Y.H. (2004), Pseudo excitation method in random vibration, Science Press. (in Chinese)
  10. Lu, F., Lin, J.H., Kennedy, D. and Williams, F.W. (2009), "An algorithm to study non-stationary random vibrations of vehicle-bridge systems", Comput. Struct., 87(3-4), 177-185. https://doi.org/10.1016/j.compstruc.2008.10.004
  11. Lu, Feng (2008), "Stochastic analysis for dynamic interaction of vehicles and structures", Dalian University of Technology. (in Chinese)
  12. Sniady, P., Biernat, S., Sieniawska, R. and Zukowski, S. (2001), "Vibrations of the beam due to a load moving with stochastic velocity", Probabilist. Eng. Mech., 16(1), 53-59. https://doi.org/10.1016/S0266-8920(00)00007-2
  13. Xia, H. et al. (2003), "Dynamic analysis of train-bridge system under random excitations", Eng. Mech., 20(3), 142-149. (in Chinese)
  14. Xia, H. and Zhang, N. (2005), Dynamic interaction of vehicles and structures, Science Press, Beijing. (in Chinese)
  15. Yang, Y.B. (2008), "Wind-induced aerostatic instability of cable-supported bridges by a two-stage geometric nonlinear analysis", Interact. Multiscale Mech., 1(3), 381-396. https://doi.org/10.12989/imm.2008.1.3.381
  16. Yang, Y.B. and Wu, Y.S. (2001), "A versatile element for analyzing vehicle-bridge interaction response", Eng. Struct., 23(5), 452-469. https://doi.org/10.1016/S0141-0296(00)00065-1
  17. Yang, Y.B., Yau, J.D. and Wu, Y.S. (2004), Vehicle-bridge interaction dynamics: with applications to high-speed railways, World Scientific, Singapore.
  18. Yau, J.D. (2009), "Vehicle/bridge interactions of a rail suspension bridge considering support movements", Interact. Multiscale Mech., 2(3), 263-276. https://doi.org/10.12989/imm.2009.2.3.263
  19. Yoshimura, T., Hino, J., Kamata, T. and Ananthanarayana, N. (1988), "Random vibration of a non-linear beam subjected to a moving load: a finite element method analysis", J. Sound Vib., 122(2), 317-329. https://doi.org/10.1016/S0022-460X(88)80357-2
  20. Zeng, Qingyuan, Xiang, Jun and Lou, Ping (2002), "Fundamental problems in calculation of transverse vibration of train bridge and train track time - Varying system and theory of energy random analysis for train derailment", China Railway Sci., 23(1), 1-10. (in Chinese)
  21. Zhang, Zhi-Chao, Zhao, Yan and Lin, Jia-Hao (2007), "Non-stationary random vibration analysis for vehiclebridge coupled systems", J. Vib. Eng., 20(5), 439-446. (in Chinese)
  22. Zhu, Yan and Li, Xiao-Zhen (2010), "Stochastic dynamic responses analysis of train-bridge time-varying system", J. Wuhan Univ. Technol., 32(9), 352-355.

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