Journal of Zhejiang University-SCIENCE A

, Volume 19, Issue 12, pp 939–950 | Cite as

Effects of initial up-warp deformation on the stability of the CRTS II slab track at high temperatures

  • Zui Chen
  • Jie-ling XiaoEmail author
  • Xiao-kai Liu
  • Xue-yi Liu
  • Rong-shan Yang
  • Juan-juan Ren


Initial up-warp deformation is one of the key factors that affect the stability of the China Railway Track System type II (CRTS II) slab track. Through modeling analysis, we studied the effects of different initial up-warp conditions on the deformation and stability of a slab track at high temperatures. Based on the theory of ‘variable span length’ in continuous welded rail (CWR), a vertical stability analysis model of the CRTS II slab track was established using the finite element method (FEM), and a scale model test was conducted. The effects of initial up-warp deformation features, such as rise displacement, span length, and line type on the stability of track slabs at high temperatures were studied through simulation. Results showed that the trends of vertical displacement were almost the same based on the FEM, analytical method, and on-site testing, but there was a better agreement between results from the FEM and the analytical method. When the span length was 6.5 m and the rise displacement of the initial up-warp reached 15 mm, compressional destruction was most likely to occur on the concrete at the bottom of the apex. The rise-span ratio of the slab up-warp reached its maximum when the initial up-warp span was 6.5 m at high temperatures. It is easier for track slabs to maintain their original form at a high temperature when there is an angle at the apex or a smooth boundary. However, with a smooth boundary, the concrete at the bottom of the apex is more likely to suffer compressional destruction. Therefore, to ensure the stability of the CRTS II slab track, an initial up-warp with a span of 6.5 m and a rise of 15 mm should be avoided, and the effects of different line types of the initial up-warp also need to be considered.

Key words

High-speed railway China Railway Track System type II (CRTS II) slab track Initial up-warp High temperature Stability 






基于变波长变形曲线建立CRTS II型板垂向稳定性分析理论,开展缩尺模型试验验证,并通过有限元法进行计算仿真。


有限元法、解析法与现场试验所得垂向上拱位移的变化趋势一致,有限元法与解析法结果吻合更好。轨道板初拱弦长为6.5 m 且初拱矢度超过 15 mm 时,拱顶处下缘混凝土最易发生受压破坏。 在高温环境下,初拱弦长为6.5 m 的轨道板上拱 矢跨比最大。拱顶存在折角、初拱段边界平滑的轨道板在高温环境下更容易保持原有形态,但后者于拱顶处下缘的混凝土更容易发生受压破坏。 故为确保CRTS II 型板的稳定性,应避免弦长达 到6.5 m 且矢度超过15 mm 的初始上拱,另需关 注不同初拱线型对轨道板上拱的影响。


高速铁路 CRTS II型板式轨道 初拱变形 高温 稳定性 

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  1. Cao SH, Yang RS, Su CG, et al., 2016. Damage mechanism of slab track under the coupling effects of train load and water. Engineering Fracture Mechanics, 163:160–175. Google Scholar
  2. Crisfield MA, 1982. Accelerated solution techniques and concrete cracking. Computer Methods in Applied Mechanics and Engineering, 33(1-3):585–607. zbMATHGoogle Scholar
  3. Esveld C, 2001. Modern Railway Track (2nd Edition). MRTProductions, Zaltbommel, the Netherlands, p.194–201.Google Scholar
  4. Fang YT, 2011. On China’s high-speed railway technology. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 12(12):883–884. Google Scholar
  5. Gao L, Liu YN, Zhong YL, et al., 2016. Influence of damage of wide and narrow joints on mechanical performance of CRTS II slab-type ballastless track CWR. Railway Engineering, 56(5):58–63 (in Chinese).Google Scholar
  6. Han J, Zhao GT, Xiao XB, et al., 2015. Effect of softening of cement asphalt mortar on vehicle operation safety and track dynamics. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 16(12):976–986. Google Scholar
  7. Kish A, Samavedam G, Jeong D, 1982. Analysis of Thermal Bucking Tests on U.S. Railroads. Technique Report No. NTIS-PB83-203554, Office of Research and Development, Federal Railroad Administration, US, p.21–102.Google Scholar
  8. Lichtberger B, 2005. Track Compendium: Formation, Permanent Way, Maintenance, Economics. Eurail Press, Hamburg, Germany, p.309–331.Google Scholar
  9. Lin N, Park N, Kang Y, 2003. Stability of continuously welded track. Computers & Structures, 81(22-23):2219–2236. Google Scholar
  10. Liu FS, Zeng ZP, Wu B, 2015. Research on the CRTS II slab ballastless track buckling deformation in the process of construction. Journal of Railway Engineering Society, 32(1):55–60 (in Chinese).Google Scholar
  11. Liu XY, Zhao PR, Yang RS, et al., 2010. Design Theory and Method of Ballastless Track of Passenger Dedicated Railways. Southwest Jiaotong University Press, Chengdu, China, p.1–24 (in Chinese).Google Scholar
  12. Liu Y, Feng J, 2016. Treatment of upheaval of CRTS II-type ballastless track slab for Beijing-Tianjin intercity railway. Railway Engineering, 56(2):142–145 (in Chinese).Google Scholar
  13. Long G, Liu H, Ma K, et al., 2018. Development of high performance self-compacting concrete applied for filling layer of high-speed railway. Journal of Materials in Civil Engineering, 30(2):04017268. Google Scholar
  14. Mallardo V, Alessandri C, 2004. Arc-length procedures with BEM in physically nonlinear problems. Engineering Analysis with Boundary Elements, 28(6):547–559. zbMATHGoogle Scholar
  15. Martinez IN, Sanchis IV, Fernandez PM, et al., 2015. Analytical model for predicting the buckling load of continuous welded rail tracks. Proceedings of the Institution of Mechanical Engineers Part F: Journal of Rail & Rapid Transit, 229(5):542–552. Google Scholar
  16. Reissner E, 1946. Analysis of shear lag in box beams by the principle of minimum potential energy. Quarterly of Applied Mathematics, 4(3):268–278.MathSciNetzbMATHGoogle Scholar
  17. Ren JJ, Deng SJ, Jin ZB, et al., 2017. Energy method solution for the vertical deformation of longitudinally coupled prefabricated slab track. Mathematical Problems in Engineering, 2017(1):1–11. MathSciNetGoogle Scholar
  18. Rybkin V, Nastechikn MP, Nastechik NP, et al., 2013. Stability issues of the continuous welded rail track on the concrete sleepers on the curves with radius R=300 m. Sciences in Cold & Arid Regions, 5(5):654–658. Google Scholar
  19. Shahba A, Rajasekaran S, 2012. Free vibration and stability of tapered Euler–Bernoulli beams made of axially functionally graded materials. Applied Mathematical Modelling, 36(7):3094–3111. MathSciNetzbMATHGoogle Scholar
  20. Tan P, Ma JE, Zhou J, et al., 2016. Sustainability development strategy of China’s high-speed rail. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 17(12):923–932. Google Scholar
  21. Tao GQ, Du X, Zhang HJ, et al., 2017. Development and validation of a model for predicting wheel wear in high-speed trains. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 18(8):603–616. Google Scholar
  22. Wei H, 2014. Research on the Track Irregularities Survey Theory and Relevant Adjustment Technologies of HSR Track. PhD Thesis, Nanchang University, Nanchang, China, p.18–22 (in Chinese).Google Scholar
  23. Yan B, Dai GL, Guo WH, et al., 2015. Longitudinal force in continuously welded rail on long-span tied arch continuous bridge carrying multiple tracks. Journal of Central South University, 22(5):2001–2006. Google Scholar
  24. Yang JB, Zeng Y, Liu XY, et al., 2015. Stability of CRTS-II slab track based on energy norm. Journal of Central South University (Science and Technology), 46(12): 4707–4712 (in Chinese).Google Scholar
  25. Zhang J, Xiao XB, Sheng XZ, et al., 2017. Characteristics of interior noise of a Chinese high-speed train under a variety of conditions. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 18(8):617–630. Google Scholar
  26. Zhang XM, Chen XF, 2007. A convenient computational method for analyzing the stability of continuously welded rail tracks. Journal of the China Railway Society, 29(1): 124–126 (in Chinese).Google Scholar
  27. Zhang XM, Zhao L, 2018. Research on the stability theory of CRTS II slab ballastless track on high-speed railway. Journal of Railway Engineering Society, 35(1):49–55 (in Chinese).Google Scholar
  28. Zhao GT, 2010. Manufacturing technology of CRTS II ballastless track slab. Railway Construction Technology, 6:62–65 (in Chinese).Google Scholar
  29. Zhou M, Dai GL, 2015. Stability of longitudinally connected ballastless slab track on simply-supported beam bridges of high-speed railway. Journal of the China Railway Society, 37(8):60–65 (in Chinese).Google Scholar
  30. Ziegler H, 1977. Principle of Structure Stability (2nd Edition). Birkhäuser, Basel, Switzerland, p.1–32.Google Scholar

Copyright information

© Zhejiang University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.MOE Key Laboratory of High-speed Railway EngineeringSouthwest Jiaotong UniversityChengduChina
  2. 2.School of Civil EngineeringSouthwest Jiaotong UniversityChengduChina

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