Abstract
Under high-level earthquakes, bridge piers and bearings are prone to be damaged and the elastoplastic state of bridge structural components is easily accessible in the train-track-bridge interaction (TTBI) system. Considering the complexity and structural non-linearity of the TTBI system under earthquakes, a single software is not adequate for the coupling analysis. Therefore, in this paper, an interactive method for the TTBI system is proposed by combining the multi-body dynamics software Simpack and the seismic simulation software OpenSees based on the Client-Server architecture, which takes full advantages of the powerful wheel-track contact analysis capabilities of Simpack and the sophisticated nonlinear analysis capabilities of OpenSees. Based on the proposed Simpack and OpenSees co-simulating train-track-bridge (SOTTB) method, a single-span bridge analysis under the earthquake was conducted and the accuracy of co-simulation method was verified by comparing it with results of the finite element model. Finally, the TTBI model is built utilizing the SOTTB method to further discuss the running safety of HST on multi-span simply supported bridges under earthquakes. The results show that the SOTTB method has the advantages of usability, high versatility and accuracy which can be further used to study the running safety of HST under earthquakes with high intensities.
摘要
列车-轨道-桥梁耦合振动系统在**地震作用下, 桥墩和支座容易发生破坏, 桥梁结构容易进入弹塑性状态。 考虑到**震作用下车-轨-桥耦合振动系统的复杂性和桥梁结构的非线性, 单一软件难以满足耦合振动分析的要求。 因此, 本文首先基于Client-Server 架构, 提出了一种将多体动力学软件Simpack 和地震仿真开源软件OpenSees 相结合的车-轨-桥耦合振动分析方法, 该方法充分利用了Simpack **大的轮轨分析能力和OpenSees 完善的非线性分析功能。 继而, 采用联合仿真和有限元整体建模仿真两种不同的仿真思路对单跨简支梁桥进行时程分析, 验证了基于Simpack 与OpenSees 联合仿真思路的**确性和准确性。 最后, 采用本文提出的基于Simpack 与OpenSees 联合仿真的车-轨-桥空间耦合振动分析方法对地震作用下多跨桥梁的仿真进行了进一步的分析。 结果表明:使用本文提出的新的车-轨-桥空间耦合振动分析方法进行地震下高速列车-轨道-桥梁耦合振动分析研究具有通用性**、准确性高等优点, 可以很好地进行地震下车-轨-桥耦合振动研究。
Similar content being viewed by others
References
FENG Yu-lin, JIANG Li-zhong, ZHOU Wang-bao, et al. An analytical solution to the map** relationship between bridge structures vertical deformation and rail deformation of high-speed railway [J]. Steel and Composite Structures, 2019, 33: 209–224. DOI: https://doi.org/10.12989/SCS.2019.33.2.209.
SU Miao, DAI Gong-lian. Bond-slip constitutive model of concrete to cement-asphalt mortar interface for slab track structure [J]. Structural Engineering & Mechanics, 2020, 74(5): 589–600. DOI: https://doi.org/10.12989/sem.2020.74.5.589.
ZHU D Y, ZHANG Y H, KENNEDY D, et al. Stochastic vibration of the vehicle — bridge system subject to nonuniform ground motions [J]. Vehicle System Dynamics, 2014, 52(3): 410–428. DOI: https://doi.org/10.1080/00423114.2014.886707.
LAI Zhi-peng, KANG **n, JIANG Li-zhong, et al. Earthquake influence on the rail irregularity on high-speed railway bridge [J]. Shock and Vibration, 2020: 4315304. DOI: https://doi.org/10.1155/2020/4315304.
ZHU Y, WEI Y. Characteristics of railway damage due to Wenchuan earthquake and countermeasure considerations of engineering seismic design [J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29: 3378–3386. (in Chinese)
ZENG Zhi-**, HE **an-feng, ZHAO Yan-gang, et al. Random vibration analysis of train-slab track-bridge coupling system under earthquakes [J]. Structural Engineering and Mechanics, 2015, 54(5): 1017–1044. DOI: https://doi.org/10.12989/sem.2015.54.5.1017.
TAN Sui, YU Zhi-wu, SHAN Zhi, et al. Influences of train speed and concrete Young’s modulus on random responses of a 3D train-track-girder-pier coupled system investigated by using PEM [J]. European Journal of Mechanics-A/Solids, 2019, 74: 297–316. DOI: https://doi.org/10.1016/j.euromechsol.2018.11.017.
KRILOFF A. Über die erzwungenen Schwingungen von gleichförmigen elastischen Stäben [J]. Mathematische Annalen, 1905, 61(2): 211–234.
TIMOSHENKO S. On the forced vibrations of bridges [J]. Philosophical Magazine Series, 1922, 6(43): 1018–1019.
BHATTI M H. Vertical and lateral dynamic response of railway bridges due to nonlinear vehicles and track irregularities [D]. Chicago, Illinois, USA: Illinois Institute of Technology, 1982.
BHATTI M H, GARG V K, CHU K H. Dynamic interaction between freight train and steel bridge [J]. Journal of Dynamic Systems, Measurement, and Control, 1985, 107(1): 60–66. DOI: https://doi.org/10.1115/1.3140708.
LI Q, XU Y L, WU D J, et al. Computer-aided nonlinear vehicle-bridge interaction analysis [J]. Journal of Vibration and Control, 2010, 16(12): 1791–1816. DOI: https://doi.org/10.1177/1077546309341603.
LIU Kai, LOMBAERT G, DE ROECK G, et al. The structural behavior of a composite bridge during the passage of high-speed trains [J]. Structural Engineering International, 2009, 19(4): 427–431. DOI: https://doi.org/10.2749/101686609789847082.
NAEIMI M, TATARI M, ESMAEILZADEH A, et al. Dynamic interaction of the monorail — bridge system using a combined finite element multibody-based model [J]. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-Body Dynamics, 2015, 229(2): 132–151. DOI: https://doi.org/10.1177/1464419314551189.
BAO Y, LI Y, DING J. A case study of dynamic response analysis and safety assessment for a suspended monorail system [J]. Int J Environ Res Public Health, 2016, 13(11): E1121. DOI: https://doi.org/10.3390/ijerph13111121.
CUI S. Coupled vibration simulation analysis of train-bridge system based on multi-body system dynamics and finite element method [D]. Chengdu: Southwest Jiaotong University, China, 2009. (in Chinese)
LI Yong-le, XU **n-yu, ZHOU Yu, et al. An interactive method for the analysis of the simulation of vehicle-bridge coupling vibration using ANSYS and SIMPACK [J]. Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit, 2018, 232(3): 663–679. DOI: https://doi.org/10.1177/0954409716684277.
AUCIELLO J, MELI E, FALOMI S, et al. Dynamic simulation of railway vehicles: Wheel/rail contact analysis [J]. Vehicle System Dynamics, 2009, 47(7): 867–899. DOI: https://doi.org/10.1080/00423110802464624.
HOU Wen-qi, LI Yan-kun, GUO Wei, et al. Railway vehicle induced vibration energy harvesting and saving of rail transit segmental prefabricated and assembling bridges [J]. Journal of Cleaner Production, 2018, 182: 946–959. DOI: https://doi.org/10.1016/j.jclepro.2018.02.019.
GU Quan, OZCELIK O. Integrating OpenSees with other software — with application to coupling problems in civil engineering [J]. Structural Engineering and Mechanics, 2011, 40(1): 85–103. DOI: https://doi.org/10.12989/sem.2011.40.1.085.
MONTENEGRO P A, NEVES S G M, CALÇADA R, et al. Wheel-rail contact formulation for analyzing the lateral train-structure dynamic interaction [J]. Computers & Structures, 2015, 152: 200–214. DOI: https://doi.org/10.1016/j.compstruc.2015.01.004.
ZHAI Wan-ming, WANG Kai-yun, CAI Cheng-biao. Fundamentals of vehicle — track coupled dynamics [J]. Vehicle System Dynamics, 2009, 47(11): 1349–1376. DOI: https://doi.org/10.1080/00423110802621561.
ANTOLÍN P, ZHANG Nan, GOICOLEA J M, et al. Consideration of nonlinear wheel-rail contact forces for dynamic vehicle-bridge interaction in high-speed railways [J]. Journal of Sound and Vibration, 2013, 332(5): 1231–1251. DOI: https://doi.org/10.1016/j.jsv.2012.10.022.
MIAO B, XIAO S, JIN D. Research on modeling and analysis method of complex locomotive multi-body system using Simpack [J]. Mechanical Science and Technology For Aerospace Engineering, 2006, 25(7): 813–816. (in Chinese)
WANG Q, ZHAI W, CAI C. Comparison of the performance of UIC60 and CHN60 rails [J]. Railway Standard Design, 1999(3): 1004–2954. (in Chinese)
GUYAN R J. Reduction of stiffness and mass matrices [J]. AIAA Journal, 1965, 3(2): 380. DOI: https://doi.org/10.2514/3.2874.
WANG K. Calculation of wheel contact trace and wheel/ track contact geometric parameters [J]. Journal of Southwest Jiaotong University, 1984(1): 89–99. (in Chinese)
KALKER J J. A fast algorithm for the simplified theory of rolling contact [J]. Vehicle System Dynamics, 1982, 11(1): 1–13. DOI: https://doi.org/10.1080/00423118208968684.
GB/T 5599-2019. Specification for dynamic performance assessment and testing verification of rolling stock [S]. Bei**g: Chinese Plan Publishing House, 2019. (in Chinese)
Author information
Authors and Affiliations
Contributions
TANG Jian-yuan: Funding, methodology software, conceptualization, writing-original draft. GUO Wei: Conceptualization, methodology, funding. WANG Yang: Supervision. LI Jun-long: Methodology, software. ZENG Zhe-feng: Software. All authors replied to reviewers’comments and revised the final version.
Corresponding author
Additional information
Conflict of interest
TANG Jian-yuan, GUO Wei, WANG Yang, LI Jun-long, ZENG Zhe-feng declare that they have no conflict of interest.
Foundation item: Project(2020EEEVL0403) supported by the China Earthquake Administration;Projects(51878674, 52022113) supported by the National Natural Science Foundation of China;Project(2022ZZTS0670) supported by the Fundamental Research Funds for the Central Universities, China
Rights and permissions
About this article
Cite this article
Tang, Jy., Guo, W., Wang, Y. et al. A co-simulation method for the train-track-bridge interaction analysis under earthquake using Simpack and OpenSees. J. Cent. South Univ. 29, 2791–2806 (2022). https://doi.org/10.1007/s11771-022-5122-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-022-5122-6