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Steel and Composite Structures
  Volume 33, Number 2, October25 2019 , pages 209-224
DOI: https://doi.org/10.12989/scs.2019.33.2.209
 


An analytical solution to the mapping relationship between bridge structures vertical deformation and rail deformation of high-speed railway
Yulin Feng, Lizhong Jiang, Wangbao Zhou, Zhipeng Lai and Xilin Chai

 
Abstract
    This paper describes a study of the mapping relationship between the vertical deformation of bridge structures and rail deformation of high-speed railway, taking the interlayer interactions of the bridge subgrade CRTS II ballastless slab track system (HSRBST) into account. The differential equations and natural boundary conditions of the mapping relationship between the vertical deformation of bridge structures and rail deformation were deduced according to the principle of stationary potential energy. Then an analytical model for such relationship was proposed. Both the analytical method proposed in this paper and the finite element numerical method were used to calculate the rail deformations under three typical deformations of bridge structures and the evolution of rail geometry under these circumstances was analyzed. It was shown that numerical and analytical calculation results are well agreed with each other, demonstrating the effectiveness of the analytical model proposed in this paper. The mapping coefficient between bridge structure deformation and rail deformation showed a nonlinear increase with increasing amplitude of the bridge structure deformation. The rail deformation showed an obvious "following feature"; with the increase of bridge span and fastener stiffness, the curve of rail deformation became gentler, the track irregularity wavelength became longer, and the performance of the rail at following the bridge structure deformation was stronger.
 
Key Words
    high-speed railway; bridge structure; analytical model; mapping relationship
 
Address
(1) Yulin Feng, Lizhong Jiang, Wangbao Zhou, Zhipeng Lai, Xilin Chai:
School of Civil Engineering, Central South University, Changsha, 410075, China;
(2) Lizhong Jiang, Wangbao Zhou:
National Engineering Laboratory for High Speed Railway Construction, Central South University, Changsha, 410075, China;
(3) Zhipeng Lai:
Department of Civil and Environmental Engineering, University of California, Berkeley, CA, USA.
 

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