A novel refined dynamic model of high-speed maglev train-bridge coupled system for random vibration and running safety assessment

Abstract

Running safety assessment and tracking irregularity parametric sensitivity analysis of high-speed maglev train-bridge system are of great concern, especially need perfect refinement models in which all properties can be well characterized based on various stochastic excitations. A three-dimensional refined spatial random vibration analysis model of high-speed maglev train-bridge coupled system is established in this paper, in which multi-source uncertainty excitation can be considered simultaneously, and the probability density evolution method (PDEM) is adopted to reveal the system-specific uncertainty dynamic characteristic. The motion equation of the maglev vehicle model is composed of multi-rigid bodies with a total 210-degrees of freedom for each vehicle, and a refined electromagnetic force-air gap model is used to account for the interaction and coupling effect between the moving train and track beam bridges, which are directly established by using finite element method. The model is proven to be applicable by comparing with Monte Carlo simulation. By applying the proposed stochastic framework to the high maglev line, the random dynamic responses of maglev vehicles running on the bridges are studied for running safety and stability assessment. Moreover, the effects of track irregularity wavelength range under different amplitude and running speeds on the coupled system are investigated. The results show that the augmentation of train speed will move backward the sensitive wavelength interval, and track irregularity amplitude influences the response remarkably in the sensitive interval.

Keywords

maglev train-bridge interaction / electromagnetic force-air gap model / stochastic dynamic analysis / running safety assessment / probability density evolution method

References

[[1]] Suzuki S, Kawashima M, Hosoda Y, et al.. HSST-03 system. IEEE Transactions on Magnetics, 1984, 20(5): 1675-1677, J]

[[2]] Masada E, Kitamoto M, Kato J, et al.. Present status of maglev development in Japan and host-03 project. International Conference on Maglev Transport: Now & for the Future, 1984 [C]

[[3]] Hikasa Y, Takeuchi Y. Detail and experimental results of ferromagnetic levitation system of Japan air lines HSST-01/-02 vehicles. IEEE Transactions on Vehicular Technology, 1980, 29(1): 35-41, J]

[[4]] Chiu W S, Smith R G, Wormley D N. Influence of vehicle and distributed guideway parameters on high speed vehicle-guideway dynamic interactions. Journal of Dynamic Systems, Measurement, and Control, 1971, 93(1): 25-34, J]

[[5]] Katz R M, Nene V D, Ravera R J, et al.. Performance of magnetic suspensions for high speed vehicles operating over flexible guideways. Journal of Dynamic Systems, Measurement, and Control, 1974, 96(2): 204-212, J]

[[6]] Meisinger R. Simulation of maglev vehicles riding over single and double span guideways. Mathematics and Computers in Simulation, 1979, 21(2): 197-206, J]

[[7]] Biggers S B, Wilson J F. Dynamic interactions of high speed tracked air cushion vehicles with their guideways: Part I of a parametric study. Journal of Dynamic Systems, Measurement, and Control, 1973, 95(1): 76-85, J]

[[8]] Kwon S D, Lee J S, Moon J W, et al.. Dynamic interaction analysis of urban transit maglev vehicle and guideway suspension bridge subjected to gusty wind. Engineering Structures, 2008, 30(12): 3445-3456, J]

[[9]] Song X-d, Wu D-j, Li Qi. Dynamic impact analysis of double-tower cable-stayed maglev bridges using a simple model. Journal of Bridge Engineering, 2014, 19(1): 34-43, J]

[[10]] Smith C C, Wormley D N. Response of continuous periodically supported guideway beams to traveling vehicle loads. Journal of Dynamic Systems, Measurement, and Control, 1975, 97(1): 21-29, J]

[[11]] Cai Y, Chen S S, Rote D M, et al.. Vehicle/guideway interaction for high speed vehicles on A flexible guideway. Journal of Sound and Vibration, 1994, 175(5): 625-646, J]

[[12]] ZENG You-wen, WANG Shao-hua, ZHANG Kun-lun. Ems maglev train-track vertical coupling dynamics [J]. Journal od Railway, 1999(2): 30–34. (in Chinese)

[[13]] Zhao C-f, Zhai W-ming. Maglev vehicle/guideway vertical random response and ride quality. Vehicle System Dynamics, 2002, 38(3): 185-210, J]

[[14]] Zhao C-fa. . Research on dynamics of maglev vehicle system, 2002 Chengdu Southwest Jiaotong University [D]

[[15]] Yau J D. Response of a maglev vehicle moving on a series of guideways with differential settlement. Journal of Sound and Vibration, 2009, 324(3–5): 816-831, J]

[[16]] Ren S-b, Romeijn A, Klap K. Dynamic simulation of the maglev vehicle/guideway system. Journal of Bridge Engineering, 2010, 15(3): 269-278, J]

[[17]] Li X-z, Hong Q-y, Geng J, et al.. Vertical coupling model and verification of medium-low speed Maglev train-track beam. Acta Railway Engineering Science, 2015, 32(9): 103-108 [J]

[[18]] Deng Y-shi. . Study on deformation and mechanical properties of high-speed maglev traffic composite track beam, 2010 Beijing Beijing Jiaotong University [D]

[[19]] Song M K, Fujino Y. Dynamic analysis of guideway structures by considering ultra high-speed Maglev train-guideway interaction. Structural Engineering and Mechanics, 2008, 29(4): 355-380, J]

[[20]] Shi J, Wei Q-c, Zhao Yang. Analysis of dynamic response of the high-speed EMS maglev vehicle/guideway coupling system with random irregularity. Vehicle System Dynamics, 2007, 45(12): 1077-1095, J]

[[21]] Ju S H, Leong C C, Ho Y S. Safety of maglev trains moving on bridges subject to foundation settlements and earthquakes. Journal of Bridge Engineering, 2014, 19(1): 91-100, J]

[[22]] Wang Z-l, Xu Y-l, Li G-q, et al.. Modelling and validation of coupled high-speed maglev train-and-viaduct systems considering support flexibility. Vehicle System Dynamics, 2019, 57(2): 161-191, J]

[[23]] Xu Y-l, Wang Z-l, Li G-q, et al.. High-speed running maglev trains interacting with elastic transitional viaducts. Engineering Structures, 2019, 183: 562-578, J]

[[24]] Wang S-m, Ni Y-q, Sun Y-g, et al.. Modelling dynamic interaction of maglev train-controller-rail-bridge system by vector mechanics. Journal of Sound Vibration, 2022, 533: 117023, J]

[[25]] Guo W, Chen X-y, Ye Y-t, et al.. Coupling vibration analysis of high-speed maglev train-viaduct systems with control loop failure. Journal of Central South University, 2022, 29(8): 2771-2790, J]

[[26]] Sun Y-g, Xu J-q, Lin G-b, et al.. RBF neural network-based supervisor control for maglev vehicles on an elastic track with network time delay. IEEE Transactions on Industrial Informatics, 2022, 18(1): 509-519, J]

[[27]] Chen C, Xu J-q, Lin G-b, et al.. Fuzzy adaptive control particle swarm optimization based on T-S fuzzy model of maglev vehicle suspension system. Journal of Mechanical Science and Technology, 2020, 34(1): 43-54, J]

[[28]] Zhao C, Oka K, Sun F, et al.. Design of zero-power control strategy with resisting tilt of hybrid magnetic levitation system. IEEE Transactions on Industrial Electronics, 2022, 69(11): 11394-11402, J]

[[29]] Yang M-z, Zhong S, Zhang L, et al.. 600 km/h moving model rig for high-speed train aerodynamics. Journal of Wind Engineering and Industrial Aerodynamics, 2022, 227: 105063, J]

[[30]] Xu Y-s, Long Z-q, Zhao Z-g, et al.. Real-time stability performance monitoring and evaluation of maglev trains’ levitation system: A data-driven approach. IEEE Transactions on Intelligent Transportation Systems, 2022, 23(3): 1912-1923, J]

[[31]] Zhang P, Yu Z-wu. Random vibration analysis of the maglev vehicle-guideway system using a probability density evolution method with uncertain parameters. Structures, 2023, 48: 346-359, J]

[[32]] Yu Z-w, Zhang P, Mao J-f, et al.. An efficient approach for stochastic vibration analysis of high-speed maglev vehicle-guideway system. International Journal of Structural Stability and Dynamics, 2021, 21(6): 2150080, J]

[[33]] Zeng Q-y, Guo X-rong. . Vibration analysis theory and application of train-bridge time-varying system, 1999 Beijing China Railway Publishing House [M]

[[34]] Mao J-f, Xiao Y-j, Yu Z-w, et al.. Probabilistic model and analysis of coupled train-ballasted track-subgrade system with uncertain structural parameters. Journal of Central South University, 2021, 28(7): 2238-2256, J]

[[35]] Li J, Chen J-bing. . Stochastic Dynamics of Structures, 2009, M]

[[36]] Cao G-z, Pan J-f, Huang S-dan. . Magnetic levitation system control algorithm and implementation, 2013 Beijing, China Tsinghua University Press [M]

[[37]] Long Z-q, Hao A-m, Chang W-sen. Suspension controller design of maglev train considering the rail track periodical irregularity. Journal of National University of Defense Technology, 2003, 25(2): 84-89 [J]

[[38]] Shi J, Fang W-s, Wang Y-j, et al.. Measurements and analysis of track irregularities on high speed maglev lines. Journal of Zhejiang University: Science A, 2014, 15(6): 385-394, J]

[[39]] Sun W-l, Chen J-b, Li Jie. The second kind of stochastic harmonic function expression of stochastic process. Journal of Tongji University (Natural Science Edition), 2011, 39(10): 1413-1419 [J]

[[40]] Li J, Chen J-b, Sun W-l, et al.. Advances of the probability density evolution method for nonlinear stochastic systems. Probabilistic Engineering Mechanics, 2012, 28: 132-142, J]

[[41]] Li J, Chen J-bing. The principle of preservation of probability and the generalized density evolution equation. Structural Safety, 2008, 30(1): 65-77, J]

[[42]] Yu Z-w, Mao J-feng. Probability analysis of train-track-bridge interactions using a random wheel/rail contact model. Engineering Structures, 2017, 144: 120-138, J]

[[43]] CJJ/T310—2021. Standard for design of high-speed maglev transit [S]. (in Chinese)

[[44]] TB10621—2014. Code for Design of High Speed Railway [S]. (in Chinese)