Abstract
The motor and trailer cars of a high-speed train were modeled as a multi-rigid body system with two suspensions. According to structural characteristic of a slab track, a new spatial vibration model of track segment element of the slab track was put forward. The spatial vibration equation set of the high-speed train and slab track system was then established on the basis of the principle of total potential energy with stationary value in elastic system dynamics and the rule of “set-in-right-position” for formulating system matrices. The equation set was solved by the Wilson-ϑ direct integration method. The contents mentioned above constitute the analysis theory of spatial vibration of high-speed train and slab track system. The theory was then verified by the high-speed running experiment carried out on the slab track in the Qinghuangdao-Shenyang passenger transport line. The results show that the calculated results agree well with the measured results, such as the calculated lateral and vertical rail displacements are 0.82 mm and 0.9 mm and the measured ones 0.75 mm and 0.93 mm, respectively; the calculated lateral and vertical wheel-rail forces are 8.9 kN and 102.3 kN and the measured ones 8.6 kN and 80.2 kN, respectively. The interpolation method, that is, the lateral finite strip and slab segment element, for slab deformation proposed is of simplification and applicability compared with the traditional plate element method. All of these demonstrate the reliability of the theory proposed.
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References
HE Hua-wu. Ballastless track shall be developed in great efforts on Chinese passenger dedicated lines[J]. Chinese Railways, 2005(1): 11–15. (in Chinese)
ZHAI Wan-ming, HAN Wei-jun, CAI Chen-biao, WANG Qi-chang. Dynamic properties of high-speed railway slab tracks[J]. Journal of the China Railway Society, 1999, 21(6): 65–69. (in Chinese)
CAI Chen-biao, ZHAI Wan-ming, WANG Kai-yun. Calculation and assessment analysis of the dynamic performance for salb track on Sui-Yu railway[J]. China Railway Science, 2006, 27(4): 17–21. (in Chinese)
ZHANG Ge-ming. Vehicle-track-bridge system dynamic analysis model and track irregularities control on quasi and high-speed railway[D]. Bei**g: China Academy of Railway Sciences, 2001. (in Chinese)
VERBIC B. Investigating the dynamic behavior of rigid track[J]. Railway Gazette International, 1997, 153(9): 585–586.
ESVELD C. Modern railway track[M]. Delft: Delft Technology University, Holand, 2001.
DIEHL R J, NOWACK R, HOLZL G. Solutions for acoustical problems with ballastless track[J]. Journal of Sound and Vibration, 2000, 231(3): 899–906.
van LIER S. The vibro-acoustic modeling of slab track with embedded rails[J]. Journal of Sound and Vibration, 2000, 231(3): 805–817.
XIANG Jun, LI De-jian, ZENG Qing-yuan. Simulation of spatially coupling dynamic response of train-track time-variant system[J]. Journal of Central South University of Technology, 2003,10(3): 226–230.
ZENG Qing-yuan, XIANG Jun, ZHOU Zhi-hui, LOU **. Analysis theory and application of train derailment[M]. Changsha: Central South University Press, 2006. (in Chinese)
XIANG Jun, HE Dan, ZENG Qing-yuan. Analysis method of vertical vibration of train and ballastless track system with the lateral finite strip and slab segment element[J]. Journal of the China Railway Society, 2007, 29(4): 64–69. (in Chinese)
XIANG Jun, HE Dan. Analysis model of vertical vibration of high-speed train and Bögl slab track system[J]. Journal of Traffic and Transportation Egineering, 2007, 7(3): 1–5. (in Chinese)
XIANG Jun, CAO Ye, LIU Bao-gang, HE Dan, ZENG Qing-yuan. Dynamic parameters of slab track of passenger transport line[J]. Journal of Central South University: Science and Technology, 2007, 38(5): 981–986. (in Chinese)
ZENG Qing-yuan, LOU **, XIANG Jun. The principle of total potential energy with stationary value in elastic system dynamics and its application to the analysis of vibration and dynamic stability[J]. Journal of Huangzhong University of Science and Technology: Urban Science Edition, 2002, 19(1): 7–14.
ZENG Qing-yuan, YANG **. The “set-in-right-position” rule for forming structural matrices and the finite truss-element method for space analysis of truss bridge[J]. Journal of the China Railway Society, 1986, 8(2): 48–59. (in Chinese)
China Academy of Railway Sciences, Southwest Jiaotong University. Test on ballastless track on bridge on the Qinghuangdao-Shenyang passenger transport line[R]. Bei**g: Research Institute of Railway Architecture of China Academy of Railway Sciences, 2003. (in Chinese)
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Foundation item: Project(2007CB714706) supported by the National Basic Research Program of China; Project (50678176) supported by the National Natural Science Foundation of China; Project(NCET-07-0866) supported by the Program for New Century Excellent Talents in University
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**ang, J., He, D. & Zeng, Qy. Analysis theory of spatial vibration of high-speed train and slab track system. J. Cent. South Univ. Technol. 15, 121–126 (2008). https://doi.org/10.1007/s11771-008-0024-9
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DOI: https://doi.org/10.1007/s11771-008-0024-9