基于高速列车振动荷载的桩-土-结构相互作用分析
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摘要
通过总结高速列车振动荷载相关研究,给出高速列车振动荷载简化表达式。将端承桩看作连续分布水平弹簧-阻尼单元的动力Winkler地基梁模型,建立不考虑轴向力影响的动力平衡微分方程,利用Laplace变换求得动力荷载作用下的水平动力阻抗,通过群桩模型计算结果验证其频率相关性,随着荷载频率变化,水平动力阻抗出现大幅度振荡。建立86 m×142m×86 m 3跨高速铁路刚构桥有限元模型,分析高速列车通过时考虑与不考虑桩土相互作用的桥梁动力响应。对比计算结果,考虑桩-土相互作用的影响,结构将产生更大的位移响应,而上部结构节点力却相应减小;随着列车运行速度变化,桩土相互作用强度也同时发生改变;土层材料参数的变化也将影响桩-土相互作用强度,而且浅层土的影响大于深层土。
A simplified expression of high-speed train vibration was loaded by summarizing the relating researches of high-speed train vibration load.The end-bearing pile was considered as a dynamic Winkler foundation beam model continuous distribution of horizontal springs-damping,and build the dynamic equilibrium differential equation without regard to axial force,the Laplace transform was used to obtain the transverse dynamic impedance under the dynamic load and verifying its frequency dependence through the calculation results of group pile model,as the load frequency changes,the horizontal dynamic impedance oscillated greatly.A full-bridge finite model of 86 m×142 m×86 m high-speed railway bridge with three spans was used to analyze dynamic response consider or not consider soil-pile interaction.The comparison results show that the structure have a greater displacement response when soil-pile interaction be considered,but the node force is reduced accordingly,and the strength of pile-soil interaction changes as the train speed varies.The varies of soil material parameters will affect the strength of soil-pile interaction,and the importance of shallow soil is greater than that of deep soil.
A simplified expression of high-speed train vibration was loaded by summarizing the relating researches of high-speed train vibration load.The end-bearing pile was considered as a dynamic Winkler foundation beam model continuous distribution of horizontal springs-damping,and build the dynamic equilibrium differential equation without regard to axial force,the Laplace transform was used to obtain the transverse dynamic impedance under the dynamic load and verifying its frequency dependence through the calculation results of group pile model,as the load frequency changes,the horizontal dynamic impedance oscillated greatly.A full-bridge finite model of 86 m×142 m×86 m high-speed railway bridge with three spans was used to analyze dynamic response consider or not consider soil-pile interaction.The comparison results show that the structure have a greater displacement response when soil-pile interaction be considered,but the node force is reduced accordingly,and the strength of pile-soil interaction changes as the train speed varies.The varies of soil material parameters will affect the strength of soil-pile interaction,and the importance of shallow soil is greater than that of deep soil.
引文
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[2]王启云,张家生,孟飞,等.高速铁路路基模型列车振动荷载模拟[J].振动与冲击,2013,32(6):41-46.WANG Qiyun,ZHANG Jiasheng,MENG Fei,et al.Simulation of train vibration load on the subgrade testing model of high-speed railway[J].Journal of Vibration and Shock,2013,32(6):41-46.
[3]BIAN Xuecheng,JIANG Hongguang,CHENG Chong,et al.Full-scale model testing on a ballastless high-speed railway under simulated train moving loads[J].Soil Dynamics and Earthquake Engineering,2014,66(3):368-384.
[4]陈令坤,蒋丽忠,陶磊,等.考虑桩-土作用的高速列车-桥梁地震响应分析[J].岩土力学,2012,33(10):3162-3170.CHEN Lingkun,JIANG Lizhong,TAO Lei,et al.Seismic response analysis of high-speed vehicle-bridge considering soil-structure interaction[J].Rock and Soil Mechanics,2012,33(10):3162-3170.
[5]江博君,冼巧玲,周福霖.桩土效应对高铁桥梁地震反应的影响分析[J].广州大学学报,2006,15(1):57-63.JIANG Bojun,XIAN Qiaoling,ZHOU Fulin.The influence analysis of the effect of pile-soil contact on the seismic response of the high speed railway bridge[J].Journal of Guangzhou University,2016,15(1):57-63.
[6]梁爱婷,王世斌,李林安.非线性桩-土作用对车桥耦合振动的影响研究[J].工程力学,2014,31(12):96-103.LIANG Aiting,WANG Shibin,LI Linan.Study on influence of soil-pile nonlinear interaction on vehiclebridge coupling vibration[J].Engineering Mechanics,2014,31(12):96-103.
[7]熊辉,邹银生.群桩(土)-承台-结构的动力相互作用分析[J].工程力学,2004,21(4):75-80.XIONG Hui,ZOU Yinsheng.Dynamic interactive analysis of pile group-soil-structure[J].Engineering Mechanics,2004,21(4):75-80.
[8]LIU K,De Roeck G,Lombaert G.The effect of dynamic train-bridge interaction on the bridge response during a train passage[J].Journal of Sound and Vibration,2009,325(1):240-251.
[9]Biondi B,Muscolino G,Sofi A.A substructure approach for the dynamic analysis of train-track-bridge system[J].Computers and Structures,2005,83(28):2271-2281.
[10]Patrick Salcher,Christoph Adam.Modeling of dynamic train-bridge interaction in high-speed railways[J].Acta Geotechnica,2015,226(8):2437-2495.
[11]张楠,夏禾.铁路桥梁在高速列车作用下的动力响应分析[J].工程力学,2005,22(3):144-151.ZHANG Nan,XIA He.Dynamic analysis of railway bridge under high speed train[J].Engineering Mechanics,2005,22(3):144-151.
[12]BIAN Xuecheng,CHENG Chong,JIANG Hongguang,et al.Numerical analysis of soil vibrations due to trains moving at critical speed[J].Acta Geotechnica,2016,11(2):281-294.