-
摘要: 针对中国自主研发的CRTSⅢ型板式无砟轨道在运营阶段的受力变形问题, 以梁-板-轨相互作用原理为基础, 考虑钢轨、轨道板、自密实混凝土层及底座板等细部结构的空间尺寸与力学属性, 运用有限元法建立了高速铁路桥上CRTSⅢ型板式无砟轨道无缝线路精细化空间耦合模型; 计算了列车荷载作用下轨道及桥梁结构的挠曲力与位移, 分析了不同列车荷载作用长度、桥上扣件纵向阻力及墩台顶固定支座纵向刚度对挠曲力与位移的影响。研究结果表明: 在全桥加载情况下, 多跨简支梁桥上钢轨挠曲力在支座处表现为拉力, 跨中表现为压力, 大跨连续梁主桥上钢轨挠曲力在两侧边跨表现为拉力, 中间跨表现为压力, 单线加载时2种桥上有载侧钢轨挠曲力分别达到了38、53 kN, 约为双线加载时的1/2;轨道、桥梁结构纵向力与位移最大值不同时出现在同一工况下, 需要根据不同的检算部件选取最不利的列车荷载作用长度, 并将ZK活载中的集中力设置在跨中位置; 采用小阻力扣件可以改善钢轨受力与变形, 简支梁桥和连续梁桥上钢轨最大挠曲力分别减小了35%和22%, 钢轨纵向位移分别减小了7%和5%, 但轨板相对位移分别增大了26%和30%, 需加强观测以控制钢轨的爬行; 从轨道及桥梁结构的安全性与耐久性角度考虑, 建议将墩台顶纵向刚度控制在设计值的1.0~1.5倍范围内。Abstract: To study the loading and deformation of independently developed China rail track system (CRTS) Ⅲ slab tracks in the operation stage, based on the beam-slab-rail interacting principle, with full consideration of both the dimensions and mechanical properties of detail structures such as rail, track slab, self-compacting concrete layer, and bed plate, a refined space coupling model for continuous welded rails of CRTS Ⅲ slab tracks on a high-speed railway bridge was established using finite element method.The deflection force and displacement of rails andbridge structure under train load were calculated.The effects of load action length, longitudinal resistance of fasteners and longitudinal stiffness of fixed bearings atop the abutments on deflection force, and displacement were analyzed.Analysis result indicates that with the entire bridge loaded, the deflection force of the rail on the multi-span simply supported beam bridge is expressed as tension at the supports and as pressure on the mid-span.While the deflection force of the rail on the main bridge of the long-span continuous beam is expressed as tension on both sides and as pressure on the mid-span.Under the single-line loaded condition, the deflection forces of the loaded side rail on the two bridges reach 38 and 53 kN, and is approximately half of the results under the double-line loaded condition.The maximum longitudinal force and displacement of track and bridge structures will not occur under the same condition.Thus the most unfavorable condition shall be selected based on the different parts to be examined and calculated, to set the concentrated force in ZK train load to the mid-span position.The application of small resistance fasteners changes the stress and deformation acting on the rails, with the maximum deflection forces on rail of the simply supported beam bridge and continuous beam bridge decrease by 35% and 22% respectively, and the maximum longitudinal displacement on rail decrease by 7% and 5% respectively. On the contrary, the relative displacement between track slab and rail increase by 26% and 30%, which necessitates continual observation to keep rail creeping under control.From the perspective of safety and durability of tracks and bridge structures, it is proposed that the longitudinal stiffness atop the abutments be kept within 1.0-1.5 times of the design value.
-
Key words:
- high-speed railway /
- CRTS Ⅲ slab track /
- CWR on bridge /
- train load /
- deflection force /
- influencing factor
-
表 1 列车荷载作用下轨道及桥梁结构纵向力与纵向应力
Table 1. Longitudinal forces and stresses of track and bridge structure under train load
表 2 列车荷载作用下轨道及桥梁结构纵向位移
Table 2. Longitudinal displacements of track and bridge structure under train load
mm 表 3 不同列车荷载下结构纵向力与纵向应力
Table 3. Longitudinal forces and stresses of structure under different train loads
表 4 不同列车荷载下结构纵向位移
Table 4. Longitudinal displacements of structure under different train loads
mm 表 5 不同扣件纵向阻力下结构纵向力与纵向应力
Table 5. Longitudinal forces and stresses of structure under different longitudinal resistances of fastener
表 6 不同扣件纵向阻力下结构纵向位移
Table 6. Longitudinal displacements of structure under different longitudinal resistances of fastener
mm 表 7 不同墩台刚度下结构纵向力与纵向应力
Table 7. Longitudinal forces and stresses of structure under different stiffnesses of pier and abutment
表 8 不同墩台刚度下结构纵向位移
Table 8. Longitudinal displacements of structure under different stiffnesses of pier and abutment
mm -
[1] 曲村. 高速铁路长大桥梁无砟轨道无缝线路设计理论及方法研究[D]. 北京: 北京交通大学, 2013.QU Cun. Study on the design theory and method of ballastless continuous welded rail on long-span bridge in highspeed railway[D]. Beijing: Beijing Jiaotong University, 2013. (in Chinese). [2] 赵国堂, 高亮, 赵磊, 等. CRTSⅡ型板式无砟轨道板下离缝动力影响分析及运营评估[J]. 铁道学报, 2017, 39 (1): 1-10. https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201701001.htmZHAO Guo-tang, GAO Liang, ZHAO Lei, et al. Analysis of dynamic effect of gap under CRTSⅡtrack slab and operation evaluation[J]. Journal of the China Railway Society, 2017, 39 (1): 1-10. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201701001.htm [3] 邢梦婷, 王平. 桥上纵连板式无砟轨道挠曲力计算分析[J]. 铁道标准设计, 2016, 60 (8): 6-12. https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201608002.htmXING Meng-ting, WANG Ping. Analysis and calculation of deflection force of longitudinally connected ballastless track on bridge[J]. Railway Standard Design, 2016, 60 (8): 6-12. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201608002.htm [4] 方利, 王志强, 李成辉. 简支梁桥上CRTSⅡ型板式无砟轨道制动力影响因素分析[J]. 铁道学报, 2012, 34 (1): 72-76. doi: 10.3969/j.issn.1001-8360.2012.01.013FANG Li, WANG Zhi-qiang, LI Cheng-hui. Analysis on influencing factors of braking force of CRTSⅡballastless track slab on simply-supported beam bridges[J]. Journal of the China Railway Society, 2012, 34 (1): 72-76. (in Chinese). doi: 10.3969/j.issn.1001-8360.2012.01.013 [5] 孔文斌, 雷晓燕. 高速铁路长大桥梁无缝线路附加挠曲力计算分析[J]. 华东交通大学学报, 2011, 28 (1): 25-28. doi: 10.3969/j.issn.1005-0523.2011.01.005KONG Wen-bin, LEI Xiao-yan. Calculation analysis of additional deflection force of CWR on high speed railway long span bridge[J]. Journal of East China Jiaotong University, 2011, 28 (1): 25-28. (in Chinese). doi: 10.3969/j.issn.1005-0523.2011.01.005 [6] YAN Bin, DAI Gong-lian, ZHANG Hua-ping. Beam-track interaction of high-speed railway bridge with ballast track[J]. Journal of Central South University, 2012, 19 (5): 1447-1453. doi: 10.1007/s11771-012-1161-8 [7] 陈嵘, 邢俊, 谢铠泽, 等. 温度荷载下纵连式无砟轨道梁轨耦合作用规律[J]. 铁道工程学报, 2017, 34 (3): 15-21. doi: 10.3969/j.issn.1006-2106.2017.03.004CHEN Rong, XING Jun, XIE Kai-ze, et al. The continuousslab-track coupling laws between the bridge and track under temperature loads[J]. Journal of Railway Engineering Society, 2017, 34 (3): 15-21. (in Chinese). doi: 10.3969/j.issn.1006-2106.2017.03.004 [8] 魏贤奎, 王平, 徐浩, 等. 铁路上承式拱桥上无缝线路断缝影响因素[J]. 中南大学学报: 自然科学版, 2013, 44 (7): 3053-3060. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201307059.htmWEI Xian-kui, WANG Ping, XU Hao, et al. Influencing factors of rail broken gap of continuous welded rail on railway deck arch bridge[J]. Journal of Central South University: Science and Technology, 2013, 44 (7): 3053-3060. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201307059.htm [9] 戴公连, 葛浩, 邱远喜, 等. 高铁大跨度连续梁桥上无砟轨道断板受力研究[J]. 华中科技大学学报: 自然科学版, 2015, 43 (9): 100-104, 109.DAI Gong-lian, GE Hao, QIU Yuan-xi, et al. Study on broken plate force of ballastless track on high-speed railway long-span continuous beam bridge[J]. Journal of Huazhong University of Science and Technology: Natural Science Edition, 2015, 43 (9): 100-104, 109. (in Chinese). [10] 谢铠泽, 王平, 徐浩, 等. 刚构桥上无砟轨道无缝线路病害研究[J]. 中南大学学报: 自然科学版, 2014, 45 (6): 2085-2091. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201406045.htmXIE Kai-ze, WANG Ping, XU Hao, et al. Diseases of continuous welded rail of ballstless track on rigid frame bridge[J]. Journal of Central South University: Science and Technology, 2014, 45 (6): 2085-2091. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201406045.htm [11] 蔡小培, 高亮, 孙汉武, 等. 桥上纵连板式无砟轨道无缝线路力学性能分析[J]. 中国铁道科学, 2011, 32 (6): 28-33. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK201106006.htmCAI Xiao-pei, GAO Liang, SUN Han-wu, et al. Analysis on the mechanical properties of longitudinally connected ballastless track continuously welded rail on bridge[J]. China Railway Science, 2011, 32 (6): 28-33. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK201106006.htm [12] 曲村, 高亮, 乔神路. 高速铁路长大桥梁CRTSⅠ型板式无砟轨道无缝线路力学特性分析[J]. 铁道标准设计, 2011 (4): 12-16. doi: 10.3969/j.issn.1004-2954.2011.04.004QU Cun, GAO Liang, QIAO Shen-lu. Analysis on dynamics property of CRTSⅠballastless track continuous line on long bridges of high speed railways[J]. Railway Standard Design, 2011 (4): 12-16. (in Chinese). doi: 10.3969/j.issn.1004-2954.2011.04.004 [13] 曲村, 高亮, 乔神路, 等. 高速铁路长大桥梁CRTSⅠ型双块式无砟轨道无缝线路影响因素分析[J]. 铁道工程学报, 2011, 28 (3): 46-51, 63. doi: 10.3969/j.issn.1006-2106.2011.03.009QU Cun, GAO Liang, QIAO Shen-lu, et al. Analysis of influence factors on CRTSⅠdouble-block ballastless track CWR on long-span bridge of high-speed railway[J]. Journal of Railway Engineering Society, 2011, 28 (3): 46-51, 63. (in Chinese). doi: 10.3969/j.issn.1006-2106.2011.03.009 [14] 张鹏飞, 桂昊, 高亮, 等. 简支梁桥上Ⅰ型板式无砟轨道挠曲受力与变形[J]. 铁道工程学报, 2017, 34 (5): 15-19, 44. doi: 10.3969/j.issn.1006-2106.2017.05.004ZHANG Peng-fei, GUI Hao, GAO Liang, et al. Analysis of deflection force and deformation for CRTSⅠballastless track on simply supported bridge[J]. Journal of Railway Engineering Society, 2017, 34 (5): 15-19, 44. (in Chinese). doi: 10.3969/j.issn.1006-2106.2017.05.004 [15] 熊震威, 谢铠泽, 刘浩, 等. 列车制动对刚构桥上无缝线路梁轨相对位移的影响研究[J]. 铁道标准设计, 2013 (10): 10-14. https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201310004.htmXIONG Zhen-wei, XIE Kai-ze, LIU Hao, et al. Influence of train braking on relative displacement between girder and rail of continuous welded rail upon rigid-frame bridge[J]. Railway Standard Design, 2013 (10): 10-14. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDBS201310004.htm [16] 王平, 谢铠泽. 连续刚构桥上无缝线路计算模型及方法的简化[J]. 中南大学学报: 自然科学版, 2015, 46 (7): 2735-2743. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201507048.htmWANG Ping, XIE Kai-ze. Simplification for calculation model and method of CWR on continuous rigid frame bridge[J]. Journal of Central South University: Science and Technology, 2015, 46 (7): 2735-2743. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201507048.htm [17] SHAO Li-yang, ZHANG Meng, XIE Kai-ze, et al. The longitudinal force measurement of CWR tracks with heterocladding FBG sensors: aproof of concept[J]. Sensors, 2016, 16 (12): 1-10. doi: 10.1109/JSEN.2016.2552300 [18] WANG Ping, XIE Kai-ze, SHAO Li-yang, et al. Longitudinal force measurement in continuous welded rail with bidirectional FBG strain sensors[J]. Smart Materials and Structures, 2016, 25 (1): 1-10. [19] 魏贤奎, 陈嵘, 王平. 护轨对桥上无缝线路稳定性的影响[J]. 中国铁道科学, 2012, 33 (4): 8-12. doi: 10.3969/j.issn.1001-4632.2012.04.02WEI Xian-kui, CHEN Rong, WANG Ping. Guard rail's influence on the stability of continuously welded rail on bridge[J]. China Railway Science, 2012, 33 (4): 8-12. (in Chinese). doi: 10.3969/j.issn.1001-4632.2012.04.02 [20] 谢铠泽, 王平, 徐井芒, 等. 桥上单元板式无砟轨道无缝线路的适应性[J]. 西南交通大学学报, 2014, 49 (4): 649-655. doi: 10.3969/j.issn.0258-2724.2014.04.014XIE Kai-ze, WANG Ping, XU Jing-mang, et al. Adaptability of continuous welded rail of unit slab non-ballast track on bridges[J]. Journal of Southwest Jiaotong University, 2014, 49 (4): 649-655. (in Chinese). doi: 10.3969/j.issn.0258-2724.2014.04.014 [21] YAN Bin, DAI Gong-lian, GUO Wen-hua, et al. Longitudinal force in continuously welded rail on long-span tied arch continuous bridge carrying multiple tracks[J]. Journal of Central South University, 2015, 22 (5): 2001-2006. doi: 10.1007/s11771-015-2721-5 [22] 闫斌, 戴公连. 高速铁路斜拉桥上无缝线路纵向力研究[J]. 铁道学报, 2012, 34 (3): 83-87. doi: 10.3969/j.issn.1001-8360.2012.03.014YAN Bin, DAI Gong-lian. CWR longitudinal force of cablestayed bridge of high-speed railway[J]. Journal of the China Railway Society, 2012, 34 (3): 83-87. (in Chinese). doi: 10.3969/j.issn.1001-8360.2012.03.014 [23] DAI Gong-lian, YAN Bin. Longitudinal forces of continuously welded track on high-speed railway cable-stayed bridge considering impact of adjacent bridges[J]. Journal of Central South University, 2012, 19 (8): 2348-2353. doi: 10.1007/s11771-012-1281-1 [24] DAI Gong-lian, LIU Wen-shuo. Applicability of small resistance fastener on long-span continuous bridges of highspeed railway[J]. Journal of Central South University, 2013, 20 (5): 1426-1433. doi: 10.1007/s11771-013-1631-7 [25] SUN Wei-long, HAN Feng. Research on CWR design on steel-concrete composite beam bridge in alpine region[J]. Applied Mechanics and Materials, 2014, 587-589: 1708-1712. doi: 10.4028/www.scientific.net/AMM.587-589.1708 [26] PAPP H, LIEGNER N. Investigation of internal forces in the rail due to the interaction of CWR tracks and steel railway bridges with ballasted track superstructure[J]. Pollack Periodica, 2016, 11 (2): 65-74. doi: 10.1556/606.2016.11.2.6 [27] JOY R, OTTER D, READ D. CWR on steel bridges[J]. Railway Track and Structures, 2008, 104 (8): 17-20. [28] MIN K H, YUN K M. An experimental study for longitudinal resistance of ballast track on bridge[J]. Journal of the Korea Academia-Industrial Cooperation Society, 2016, 17 (5): 173-178. doi: 10.5762/KAIS.2016.17.5.173 [29] 蔡小培, 赵磊, 高亮, 等. CRTSⅢ型板式无砟轨道底座合理纵连长度计算[J]. 交通运输工程学报, 2016, 16 (1): 55-62. doi: 10.3969/j.issn.1671-1637.2016.01.007CAI Xiao-pei, ZHAO Lei, GAO Liang, et al. Calculation of reasonable-longitudinal-continuous length for bed plate of CRTSⅢslab ballastless track[J]. Journal of Traffic and Transportation Engineering, 2016, 16 (1): 55-62. (in Chinese). doi: 10.3969/j.issn.1671-1637.2016.01.007 [30] 王璞, 高亮, 赵磊, 等. 路基地段CRTSⅢ型板式无砟轨道底座板限位凹槽设置方式研究[J]. 工程力学, 2014, 31 (2): 110-116. https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201402016.htmWANG Pu, GAO Liang, ZHAO Lei, et al. Study on setting method of position-limitation recess of CRTSⅢslab track on subgrade[J]. Engineering Mechanics, 2014, 31 (2): 110-116. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201402016.htm