Abstract
This paper establishes a detailed three-dimensional (3D) model to study the spatial vibration characteristics of two middle-low speed vehicles traveling along a long-span bridge with double lines. Here, two state-space equations for the left- and right-hand maglev vehicles are derived, considering the equations of motion of vehicles, governing equations of currents, linear feedback controls and state observers. By employing the conventional finite element method, the equation of motion for the variable cross-section continuous girder bridge with three spans is simulated. To solve these three coupled equations, this study adopted a new separated iterative approach based on the precise integration method and the Newmark-β method. The total virtual work conducted by the inertial loads, damping loads, elastic loads and fluctuating electromagnetic loads are calculated to conveniently assemble the global mass matrix, damping matrix, stiffness matrix and coefficient matrices of fluctuating electromagnetic forces in the maglev vehicles. The numerical studies indicate that the vertical interactions play dominant roles in the 3D maglev vehicles-bridge system, and the passing maglev vehicles on the bridge have little influence on the lateral motions of the vehicle on the other line due to the adequate lateral stiffness of the bridge.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Cai Y, Chen SS (1997) Dynamic characteristics of magnetically-levitated vehicle systems. Applied Mechanics Review 50(11):647–670, DOI: https://doi.org/10.1115/1.3101676
Cai Y, Chen SS, Rote DM (1992) Dynamics and controls in maglev systems. NO. ANL-92/43, Argonne National Laboratory, Lemont, IL, USA
Cai Y, Chen SS, Rote DM, Coffey HT (1994) Vehicle/guideway interaction for high speed vehicles on a flexible guideway. Journal of Sound and Vibration 175(5):625–646, DOI: https://doi.org/10.1006/jsvi.1994.1350
Frýba L (1996) Dynamics of railway bridges. Thomas Telford Publishing, London, UK, 120–125
Glatzel K, Khurdok G, Rogg D (1980) The development of the magnetically suspended transportation system in the federal republic of germany. IEEE Transactions on Vehicular Technology 29(1):3–17, DOI: https://doi.org/10.1109/T-VT.1980.23816
Goller B, Pradlwarter HJ, Scuëller GI (2013) Reliability assessment in structural dynamics. Journal of Sound and Vibration 332:2488–2499, DOI: https://doi.org/10.1016/j.jsv.2012.11.021
Kaloust J, Ham C, Siehling J, Jongkryg E, Han Q (2004) Nonlinear robust control design for levitation and propulsion of a maglev system. IEE Proceedings — Control Theory and Applications 151(4): 460–464, DOI: https://doi.org/10.1049/ip-cta:20040547
Kim KJ, Han JB, Han HS, Yang SJ (2015) Coupled vibration analysis of maglev vehicle-guideway while standing still or moving at low speeds. Vehicle System Dynamics 53(4):587–601, DOI: https://doi.org/10.1080/00423114.2015.1013039
Kong E, Song JS, Kang BB, Na S (2011) Dynamic response and robust control of coupled maglev vehicle and guideway system. Journal of Sound and Vibration 330(25):6237–6253, DOI: https://doi.org/10.1016/j.jsv.2011.05.031
Kwon SD, Lee JS, Moon JW, Kim MY (2008) Dynamic interaction analysis of urban transit maglev vehicle and guideway suspension bridge subjected to gusty wind. Engineering Structures 30(12):3445–3456, DOI: https://doi.org/10.1016/j.engstruct.2008.05.003
Liu W, Guo WH (2019) Random vibration analysis of coupled three-dimensional maglev vehicle-bridge System. Advances in Civil Engineering 2019:1–14, DOI: https://doi.org/10.1155/2019/4920659
Logan DL (2011) A first course in the finite element method. Cengage Learning, Boston, MA, USA, 277–280
Min DJ, Jung MR, Kim MY, Kwark JW (2017) Dynamic interaction analysis of maglev-guideway system based on a 3D full vehicle model. International Journal of Structural Stability and Dynamics 17(01):1750006, DOI: https://doi.org/10.1142/S0219455417500067
Newmark NM (1959) A method of computation for structural dynamics. Journal of the Engineering Mechanics Division 85(3):67–94.
Park JS, Kim JS, Lee JK (2001) Robust control of maglev vehicles with multimagnets using separate control techniques. KSME International Journal 15(9):1240–1247, DOI: https://doi.org/10.1007/BF03185664
Popp K, Schiehlen W (1975) Dynamics of magnetically levitated vehicles on flexible guideways. Vehicle System Dynamics 4(2–3):195–199, DOI: https://doi.org/10.1080/00423117508968491
Ren S, Romeijn A, Klap K (2010) Dynamic simulation of the maglev vehicle/guideway system. Journal of Bridge Engineering 15:269–278, DOI: https://doi.org/10.1061/(ASCE)BE.1943-5592.0000071
Shi J, Wei Q, Zhao Y (2007) Analysis of dynamic response of the high-speed EMS maglev vehicle/guideway coupling system with random irregularity. Vehicle System Dynamics 45(12):1077–1095, DOI: https://doi.org/10.1080/00423110601178441
Sinha PK, Pench G, Abbassi HA (1991) Digital control of an electromagnetic suspension system using the TMS-32020 signal processor. Automatica 27(6):1051–1054, DOI: https://doi.org/10.1016/0005-1098(91)90142-O
Suzuki S, Kawashima M, Hosoda Y, Tanida T (1984) HSST-03 system. IEEE Transactions on Magnetics 20(5):1675–1677, DOI: https://doi.org/10.1109/TMAG1984.1063210
Yang YB, Yau JD, Wu YS (2004) Vehicle—bridge interaction dynamics with applications to high-speed railways. World Scientific, Singapore, 355–357
Yau JD (2009) Vibration control of maglev vehicles traveling over a flexible guideway. Journal of Sound and Vibration 321(1–2):184–200, DOI: https://doi.org/10.1016/j.jsv.2008.09.030
Yau JD (2010a) Interaction response of maglev masses moving on a suspended beam shaken by horizontal ground motion. Journal of Sound and Vibration 329(2):171–188, DOI: https://doi.org/10.1016/j.jsv.2009.08.038
Yau JD (2010b) Response of a maglev vehicle moving on a series of guideways with differential settlement. Journal of Sound and Vibration 324(3–5):816–831, DOI: https://doi.org/10.1016/j.jsv.2009.02.031
Yau JD (2010c) Aerodynamic vibrations of a maglev vehicle running on flexible guideways under oncoming wind actions. Journal of Sound and Vibration 329(10):1743–1759, DOI: https://doi.org/10.1016/j.jsv.2009.11.039
Zhang L, Huang JY (2019) Dynamic interaction analysis of the high-speed maglev vehicle/guideway system based on a field measurement and model updating method. Engineering Structures 180:1–17, DOI: https://doi.org/10.1016/j.engstruct.2018.11.031
Zhang ZC, Lin JH, Zhang YH, Zhao Y, Howson WP, Williams FW (2010) Non-stationary random vibration analysis for train—bridge systems subjected to horizontal earthquakes. Engineering Structures 32(11):3571–3582, DOI: https://doi.org/10.1016/j.engstruct.2010.08.001
Zhao CF, Zhai WM (2002) Maglev vehicle/guideway vertical random response and ride quality. Vehicle System Dynamics 38(3):185–210, DOI: https://doi.org/10.1076/vesd.38.3.185.8289
Zheng XJ, Wu JJ, Zhou YH (2005) Effect of spring non-linearity on dynamic stability of a controlled maglev vehicle and its guideway system. Journal of Sound and Vibration 279(1–2):201–215, DOI: https://doi.org/10.1016/j.jsv.2003.10.025
Acknowledgements
This research is support by the National Natural Science Foundation of China (Project No. 51078356), and the Major Technology Research and Development Program of Ministry of Railway of China (Project No. 2008G031-Q).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, W., Guo, W. Vibration Analysis of EMS-Type Maglev Vehicles Traveling over a Long-Span Bridge with Double Lines. KSCE J Civ Eng 24, 1531–1544 (2020). https://doi.org/10.1007/s12205-020-0816-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12205-020-0816-5