1. School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031 China;
2. China Railway Siyuan Survey and Design Group Co., Ltd., Wuhan 430063 China
Abstract:To investigate the vertical stiffness limit of 400 km/h high-speed railway bridge, firstly, the vertical deflection limit of different bridge spans at 400km/h is obtained by fitting the vertical deflection limit under different speed in the code. Then, the vertical stiffness of different bridges is achieved by adjusting the vertical moment of inertia of the cross section. Considering the influence of vertical temperature deformation, the train bridge coupling vibration analysis is carried out, and the vehicle vertical acceleration under different vertical stiffness of the bridge is obtained. Finally, according to the code, the vertical deflection and girder-end rotation can be obtained by loading at the most unfavorable position of the bridge. When the vehicle vertical acceleration reaches the limit value, the limit of vertical deflection and girder-end rotation can be obtained and compared with the limit value of the code. The results show that the vertical deflection limit of the 400km/h high-speed railway bridge can use the deflection limit obtained by fitting from the current standard, and the vertical girder-end rotation limit can still use the current standard limit.
Key words: 400km/h high-speed railway; train-bridge coupling; ZK load; vertical deflection limit; limit of girder-end rotation
[1] 徐银光,李艳. 成渝中线400km/h轮轨动车组技术指标研究[J]. 高速铁路技术,2020,11(03):7-11.
XU Ying-uang, LI Yan. Research on technical indexes of 400km/h wheel-rail EMU for chengdu-chongqing middle line[J]. High Speed Railway Technology, 2020, 11(03): 7-11.
[2] 徐昕宇,郑晓龙,陈列. 400km/h高速铁路两种简支梁桥竖向基频限值对比研究[J]. 铁道建筑,2019,59(04):22-25.
XU Xin-yu, ZHENG Xiao-long, CHEN Lie. Comparative study on limit value for basic vertical frequency of two types of simply-supported girder bridge for high speed railway with speed of 400 km/h[J]. Railway Engineering, 2019, 59(04):22-25.
[3] 国家铁路局. 铁路桥涵设计规范:TB10002-2017[S]. 北京:中国铁道出版社,2017.
[4] 陈克坚,李永乐,李龙,等. 大跨度铁路钢桁梁斜拉桥刚度设计及取值研究[J]. 铁道工程学报,2014,31(03):66-71.
CHEN Ke-jian,LI Yong-le,LI Long,et al. Research on the stiffness design and its value for long span railway steel truss cable-stayed bridge[J]. Journal of Railway Engineering Society, 2014, 31(03):66-71.
[5] 日本铁道综合技术研究所. 铁道构造物等设计标准同解说——变位限制[S]. 东京:丸善株式会社,2006.
[6] International Union of Railways. Design requirements for rail-bridges based on interaction phenomena between train,track and bridge: UIC code 776-2[S]. Paris: UIC, 2009.
[7] 乔晋飞. 高速铁路常用跨度桥梁挠跨比限值研究[J]. 中国铁路,2019,58(02):89-93.
QIAO Jin-fei. Study on the limit of the ratio of deflection to span of high speed railway bridges[J]. China Railway, 2019, 58(02):89-93.
[8] 沈锐利. 高速铁路简支梁桥竖向允许刚度及其分析方法[J]. 西南交通大学学报,1995,30(04):368-375.
SHEN Rui-li. The vertical deflection limit and its analysis models of simple-supported beam bridge for high-speed railway[J]. Journal of Southwest Jiaotong University, 1995, 30(04):368-375.
[9] 高岩,张煅. 高速铁路中小跨度桥梁竖、横向刚度限值及合理分布的研究[J]. 铁道建筑技术,2000,38(04):11-14.
Gao Yan , Zhang Duan. Study on limiting value and rational distribution of vertical and lateral rigidity for mid-and small-span high speed railway bridge[J]. Railway Construction Technology, 2000, 38(04):11-14.
[10] 翟婉明,王少林. 桥梁结构刚度对高速列车—轨道—桥梁耦合系统动力特性的影响[J]. 中国铁道科学,2012,33(01):19-26.
ZHAI Wan-ming, WANG Shao-lin. Influence of Bridge Structure Stiffness on the Dynamic Performance of High-Speed Train-track-bridge Coupled System[J]. China Railway Science, 2012, 33(01): 19-26.
[11] 李奇,吴阅,吴琪. 考虑轨道静态变位的简支梁竖向刚度限值研究[J]. 铁道工程学报, 2020,37(03):34-39.
LI Qi,WU Yue,WU Qi. Research on the threshold of vertical stiffness of simply supported girders considering static deformation of track. Journal of Railway Engineering Society, 2020, 37(03):34-39.
[12] 辛学忠,郭向荣. 大跨度铁路桥梁刚度统一描述方法探讨[J]. 铁道工程学报, 2007(01): 82-86.
XIN Xue-zhong, GUO Xiang-rong. Exploration on unified describing method for rigidity of large-span railway bridge [J]. Journal of Railway Engineering Society, 2007(01): 82-86.
[13] 李永乐. 风—车—桥系统非线性空间耦合振动研究[D].成都:西南交通大学,2003.
[14] 李小珍,朱艳,强士中. 高速列车作用下简支梁车桥耦合振动随机响应分析[J]. 振动与冲击,2012,31(04):168-172.
LI Xiao-zhen,ZHU Yan,QIANG Shi-zhong. Stochastic response analysis of train-bridge coupling
system under high speed train loads excitation[J]. Journal of Vibration and Shock, 2012, 31(04):168-172.
[15] 罗绛豪,郭向荣,许三平,等. 既有时速350 km高速铁路运营时速400 km常规跨度桥梁列车走行性研究[J]. 铁道标准设计, 2020, 64(S1): 45-50.
LUO Jiang-hao,GUO Xiang-rong,XU San-ping, et al. Research on performances of train running at 400 km/h on the existing 350 km/h high-speed railway with conventional span bridges [J]. Railway Standard Design, 2020, 64(S1): 45-50.
[16] 夏禾,张楠,郭薇薇. 车桥耦合振动工程[M]. 北京:科学出版社,2014.
[17] 向活跃,唐平,王涛,等. 基于子集分裂模拟的车-桥系统极值响应统计[J]. 振动与冲击,2020,39(5):105-111,136.
XIANG Huo-yue, TANG Ping, WANG Tao, et al. Extreme value response statistics of a vehicle-bridge system based on SS /S method[J]. Journal of Vibration and Shock, 2020,39(5):105-111,136.
[18] 国家铁路局. 铁路桥涵混凝土结构设计规范:TB10092-2017[S].北京,中国铁道出版社,2017.
[19] 邓建良,李奇,吴定俊. 时速140km城市轨道交通简支梁桥竖向刚度限值研究[J]. 铁道标准设计,2010,(10):47-50.
DENG Jian-liang, LI Qi, WU Ding-jun. Research on limitation of vertical stiffness of simply supported beam bridge of urban rail transit at 140km/h[J]. Railway Standard Design, 2010, 54(10): 47-50.
[20] 李永乐,龙俊廷,向活跃,马虎,何孟松,谢佳桃.基于风-车-桥的城市轨道交通桥横向挠跨比建议值研究[J].振动与冲击,2020,39(24):211-217.
LI Yongle,LONG Junting,XIANG Huoyue,MA Hu,HE Mengsong,XIE Jiatao. Transverse deflection-span ratio suggested value of an urban rail transit bridge based on a wind-vehicle-bridge system[J]. Journal of Vibration and Shock,2020,39(24):211-217.
[21] 向活跃,陈绪黎,李永乐. 基于ARMAX代理模型的车-桥耦合系统可靠性[J]. 西南交通大学学报, 2021. https://kns.cnki.net/kcms/detail/51.1277.U.20210401.1536.006.html
XIANG huo-yue, CHEN xu-li, LI Yong-le. Reliability of coupling train-bridge systems by armax surrogate model [J]. Journal of Southwest Jiaotong University, 2021. https://kns.cnki.net/kcms/detail/51.1277.U.20210401.1536.006.html