采用半解析有限元法建立了列车-轨道-地基土相互作用模型,通过线性赫兹关系考虑列车模型与轨道模型之间的动力相互作用,再通过动力平衡将轨道模型与地基土模型进行耦合;随后在轨道不平顺的激励下,计算列车沿线运行产生的地基反力;然后,将此力作为由有限元软件ABAQUS建立的求解轨道沿线环境振动模型的输入,求得列车通过时引起的沿线场地的环境振动;最后,利用北京某城轨线路区间站之间的环境振动观测数据对计算结果进行验证,证明了所建立的计算方法是有效的。这套计算方法具有一定实用价值可用来评估现有线路的环境振动,也可用来规划新修建线路附近场地的环境振动。
Abstract
Here, the semi-analytical finite element method was used to establish a train-track-subgrade interaction model considering dynamic interaction between train and track with the linear Hertz relation and coupling effects between track and subgrade with the dynamic balance method.Under the excitation of track irregularity, subgrade reactions were calculated during train running along railway.Then, subgrade reactions were taken as input of the model to solve environmental vibration along railway established using the finite element software ABAQUS to solve environmental vibrations of sites along railway during train passing through.Finally, environmental vibration detection data between interval stations along a certain urban rail line in Beijing were used to verify the corresponding calculation results.It was shown that the established calculation method is effective; this calculation method is valuable to evaluate environmental vibrations of sites along existing lines and planned ones.
关键词
城轨交通 /
半解析有限元法 /
环境振动 /
动力相互作用 /
无限元边界
{{custom_keyword}} /
Key words
urban rail transit /
semi-analytical finite element method /
environmental vibration /
dynamic interaction /
infinite element boundary
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] Kang J S, Y-S Choi, and K Choe. Whole-body vibration analysis for assessment of railway vehicle ride quality[J]. Journal of Mechanical Science and Technology,2011,25(3):577-587.
[2] Takemiya H. Simulation of track–ground vibrations due to a high-speed train: the case of X-2000 at Ledsgard[J]. Journal of Sound and Vibration,2003,261(3):503-526.
[3] Sheng X, C J C Jones, and D J Thompson. A theoretical model for ground vibration from trains generated by vertical track irregularities[J]. Journal of Sound and Vibration,2004,272(3-5):937-965.
[4] Ju S H. Finite element investigation of traffic induced vibrations[J]. Journal of Sound and Vibration,2009,321(3-5):837-853.
[5] Chen Y J, et al. Prediction methodology for ground vibration induced by passing trains on bridge structures[J]. Journal of Sound and Vibration,2007,302(4-5):806-820.
[6] 王福彤,陶夏新,崔高航,等.地面城轨交通近轨道区域自由地表振动实测研究[J].振动与冲击,2011,30(5):131-135.
WANG Fu-tong, TAO Xia-xin, Cui Gao-hang, et al. Test in situ for free ground vibration near urban railway line[J]. Journal of Vibration and Shock, 2011,30(5):131-135.
[7] 朱志辉,黄承志,王力东,等.基于车-桥随机振动模型的简支梁桥墩顶垂向动反力特征研究[J].振动与冲击,2018,37(15):225-232.
ZHU Zhi-hui, HUANG Cheng-zhi, WANG Li-dong, et al. Random characteristics for vertical dynamic reaction force of pier-top of a simply supported girder bridge based on train-bridge random vibration model [J]. Journal of Vibration and Shock, 2018,37(15):225-232.
[8] 崔高航,陶夏新,陈宪麦.城轨交通引起的环境振动问题综述研究[J].地震工程与工程振动,2008(1):38-43.
Cui Gao-hang, TAO Xia-xin, CHEN Xian-mai. Studies on environmental vibration induced by urban rail transit[J]. Journal of Earthquake Engineering and Engineering Vibration, 2011,30(5):131-135.
[9] Wu Y S, Yang Y B. A semi-analytical approach for analyzing ground vibrations caused by trains moving over elevated bridges[J]. Soil Dynamics and Earthquake Engineering,2004,24(12):949-962.
[10] Ju S H, Lin H T. Resonance characteristics of high-speed trains passing simply supported bridges[J]. Journal of Sound and Vibration,2003,267(5):1127-1141.
[11] 崔高航. 城轨交通引起的环境振动研究及轨道谱参数虚拟反演[D].哈尔滨工业大学,2009.
Cui Gao-hang. On Environmental Vibration Induced by Urban Rail Transit and Virtual Iinversion for Track Irregularity Spectrum's Parameters[D]. Harbin Institute of Technology, 2009.
[12] 肖军华, 周顺华, 韦凯. 列车振动荷载下铁路粉土路基的长期沉降[J]. 浙江大学学报:工学版,2010,44(10):1912-1918.
XIAO Jun-hua, ZHOU Shun-hua, WEI Kai. Long term settlement of railroad silt subgrade induced by train loading[J]. Journal of Zhejiang University (Engineering Science) ,2010,44(10): 1912-1918.
[13] 曹艳梅, 王福星, 张允士. 高速列车作用下场地振动的分析方法及特性研究[J]. 铁道学报,2017,39(6):118-124.
CAO Yan-mei, WANG Fu-xing, ZHANG Yun-shi. Analysis Method and Vibration Characteristics of Field Vibrations Induced by High-Speed Trains[J]. Journal of the China Railway Society, 2017,39(6):118-124.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}