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Structural Engineering and Mechanics
  Volume 77, Number 5, March10 2021 , pages 601-612

An analytical solution to the vibration characteristics for continuous girder bridge-track coupling system and its application
Yulin Feng, Lizhong Jiang, Wangbao Zhou, Yuntai Zhang and Xiang Liu

    To study the vibration characteristics of a high-speed railway continuous girder bridge-track coupling system (HSRCBT), a coupling vibration analysis model of an m-span continuous girder bridge-subgrade-track system with n-span approach bridge was established. The model was based on the energy and its variational method, where both the interlaminar slip and shear deformation effects were considered. In addition, the free vibration equations and natural boundary conditions of the HSRCBT were derived. Further, according to the coordination principle of deformation and mechanics, an analytical method for calculating the natural vibration frequencies of the HSRCBT was obtained. Three typical bridge-subgrade-track coupling systems of high-speed railway were taken and the results of finite element analysis were compared to those of the analytical method. The errors between the simulation results and calculated values of the analytical method were less than 3%, thus verifying the analytical method proposed in this paper. Finally, the analytical method was used to investigate the influence of the number of the approach bridge spans and the interlaminar stiffness on the natural vibration characteristics of the HSRCBT based on the degree of sensitivity. The results suggest the approach bridges have a critical number of spans and in general, the precision requirements of the analysis could be met by using 6-span approach bridges. The interlaminar vertical compressive stiffness has very little influence on the low-order natural vibration frequency of HSRCBT, but does have a significant influence on higher-order natural vibration frequency. As the interlaminar vertical compressive stiffness increases, the degree of sensitivity to interlaminar stiffness of each of the HSRCBT natural vibration characteristics decrease and gradually approach zero.
Key Words
    high-speed railway; shear deformation; interlaminar slip; degree of sensitivity; approach bridge
Yulin Feng: School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang, 330013, China; The State Local Joint Engineering Research Center for Security Technology of Operation Maintenance in Rail Transit Infrastructures, Nanchang 330013, China
Lizhong Jiang, Wangbao Zhou, Yuntai Zhang and Xiang Liu: School of Civil Engineering, Central South University, Changsha, 410075, China; National Engineering Laboratory for High Speed Railway Construction, Changsha, 410075, China

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