Abstract
Purpose
Track irregularities and wheel-track interaction in rail vehicles travelling at high speeds cause excessive vibrations in the train body, which affect travellers by declining ride comfort. Suspension systems play an essential role in mitigating vibration and enhancing ride comfort. In this context, secondary lateral passive dampers were replaced with magneto-rheological (MR) dampers to mitigate vibrations and enhance ride performance.
Methods
A seventeen degrees of freedom (DoF) rail vehicle model equipped with MR dampers is formulated, and a modified Bouc-Wen model is used to evaluate the functionality of the MR damper. Herein, two distinct controllers: disturbance refusal and damper force tracking control algorithms, are employed to control the entire suspension system. Afterwards, ride indices are computed using Sperling criteria to assess the ride quality and comfort at different train speeds, which are validated with experimental results.
Results
Output responses of the train body in lateral, yaw and roll directions are compared for both passive and semi-active suspension systems at speeds of 80, 120, 160, and 200 km/h. In terms of RMS acceleration, the semi-active suspension with the controllers attains better vibration reduction. Percentage reduction was found to be 23.80–27.49%, 18.75–21.23%, and 17.86–20.32% for lateral, yaw, and roll acceleration, respectively, at different train speeds. Moreover, ride quality and ride comfort were improved by 13.66–16.24% and 14.27–17.18%, respectively.
Conclusions
The findings reveal that semi-active suspension outperforms passive suspension in terms of vibration abatement and significantly enhances the ride quality and comfort.
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References
Christiansen LE, True H (2018) Dynamics of a railway vehicle on a laterally disturbed track. Veh Syst Dyn 56:249–280. https://doi.org/10.1080/00423114.2017.1372584
Goodwin MJ (1987) Dynamics of railway vehicle systems. J Mech Work Technol 14:245–247. https://doi.org/10.1016/0378-3804(87)90070-2
Givoni M (2006) Development and impact of the modern high-speed train: a review. Transp Rev 26:593–611. https://doi.org/10.1080/01441640600589319
High speed rail. https://uic.org/IMG/pdf/uic_high_speed_2018_ph08_web.pdf
Sharma SK, Kumar A (2014) A comparative study of Indian and Worldwide railways. Int J Mech Eng Robot Res 1:114–120
NHSRCL (2019) Project highlights of high speed rail corridor
Indian Railways: Vision 2024 for Infrastructure Projects, National Rail Plan
Oldknow K (2007) Wheel-Rail Interaction Fundamentals. Wri
Yao Y, Li G, Sardahi Y, Sun JQ (2019) Stability enhancement of a high-speed train bogie using active mass inertial actuators. Veh Syst Dyn 57:389–407. https://doi.org/10.1080/00423114.2018.1469776
Bian J, Gu Y, Murray MH (2013) A dynamic wheel-rail impact analysis of railway track under wheel flat by finite element analysis. Veh Syst Dyn 51:784–797. https://doi.org/10.1080/00423114.2013.774031
Polach O (2006) Comparability of the non-linear and linearized stability assessment during railway vehicle design. Veh Syst Dyn 44:129–138. https://doi.org/10.1080/00423110600869537
Carlbom P, Berg M (2003) Passengers, seats and carbody in rail vehicle dynamics. Veh Syst Dyn 37:290–300. https://doi.org/10.1080/00423114.2002.11666240
Zeng J, Wu P (2004) Stability analysis of high speed railway vehicles. JSME Int J Ser C Mech Syst Mach Elem Manuf 47:464–470. https://doi.org/10.1299/jsmec.47.464
Wang D-H, Liao W-H (2003) Ride quality improvement ability of semi-active, active, and passive suspension systems for railway vehicles. Smart Struct Mater 2003 Smart Struct Integr Syst 5056:201. https://doi.org/10.1117/12.483462
Wu J, Qiu Y (2021) Modelling and ride comfort analysis of a coupled track-train-seat-human model with lateral, vertical and roll vibrations. Veh Syst Dyn. https://doi.org/10.1080/00423114.2021.1933088
Wei X, Liu Y, Sun Q, Jia L, Wang Y (2013) Rail vehicle ride comfort prediction based on bogie acceleration measurements. In: 2013 25th Chinese Control Decis Conf CCDC 2013 3810–3815. https://doi.org/10.1109/CCDC.2013.6561613
Dumitriu M (2017) Ride comfort enhancement in railway vehicle by the reduction of the car body structural flexural vibration. IOP Conf Ser Mater Sci Eng. https://doi.org/10.1088/1757-899X/227/1/012042
Gangadharan KV, Chandramohan S (2018) Analytical studies on ride quality and ride comfort in Chennai mass rapid transit system (MRTS) railroad vehicle. J Inst Eng Ser C 99:737–742. https://doi.org/10.1007/s40032-017-0414-6
Wang DH, Liao WH (2009) Semi-active suspension systems for railway vehicles using magnetorheological dampers. Part II: simulation and analysis. Veh Syst Dyn 47:1439–1471. https://doi.org/10.1080/00423110802538336
Pradhan S, Samantaray AK (2019) Study of Dynamic Behavior of Active Steering Railway Vehicles: Proceedings of iNaCoMM 2017 Dynamic Behavior of Railway Vehicles with Active Steering. https://doi.org/10.1007/978-981-10-8597-0
Hwang IK, Hur HM, Kim MJ, Park TW (2018) Analysis of the active control of steering bogies for the dynamic characteristics on real track conditions. Proc Inst Mech Eng Part F J Rail Rapid Transit 232:722–733. https://doi.org/10.1177/0954409716687454
Jin T, Liu Z, Sun S, Ren Z, Deng L, Ning D, Du H, Li W (2020) Theoretical and experimental investigation of a stiffness-controllable suspension for railway vehicles to avoid resonance. Int J Mech Sci 187:105901. https://doi.org/10.1016/j.ijmecsci.2020.105901
Boada MJL, Boada BL, Diaz V (2018) A novel inverse dynamic model for a magnetorheological damper based on network inversion. JVC J Vib Control 24:3434–3453. https://doi.org/10.1177/1077546317705991
Liao WH, Wang DH (2003) Semiactive vibration control of train suspension systems via magnetorheological dampers. J Intell Mater Syst Struct 14:161–172. https://doi.org/10.1177/1045389X03014003004
Hua Y, Zhu S, Shi X (2021) High-performance semiactive secondary suspension of high-speed trains using negative stiffness and magnetorheological dampers. Veh Syst Dyn. https://doi.org/10.1080/00423114.2021.1899251
Wei X, Zhu M, Jia L (2016) A semi-active control suspension system for railway vehicles with magnetorheological fluid dampers. Veh Syst Dyn 54:982–1003. https://doi.org/10.1080/00423114.2016.1177189
Liao Y, Liu Y, Yang S (2019) Semiactive control of high-speed railway vehicle suspension systems with magnetorheological dampers. Shock Vib 2019:1–17
Aslam M, Xiong-Liang Y, Zhong-Chao D (2006) Review of magnetorheological (MR) fluids and its applications in vibration control. J Mar Sci Appl 5:17–29
Zeinali M, Mazlan SA, Abd Fatah AY, Zamzuri H (2013) A phenomenological dynamic model of a magnetorheological damper using a neuro-fuzzy system. Smart Mater Struct. https://doi.org/10.1088/0964-1726/22/12/125013
Lee HS, Choi SB (2000) Control and response characteristics of a magneto-rheological fluid damper for passenger vehicles. J Intell Mater Syst Struct 11:80–87. https://doi.org/10.1106/412A-2GMA-BTUL-MALT
Mellado AC, Casanueva C, Vinolas J, Gimenez JG (2009) A lateral active suspension for conventional railway bogies. Veh Syst Dyn 47:1–14. https://doi.org/10.1080/00423110701877512
Braghin F, Bruni S, Resta F (2006) Active yaw damper for the improvement of railway vehicle stability and curving performances: simulations and experimental results. Veh Syst Dyn 44:857–869. https://doi.org/10.1080/00423110600733972
Bruni S, Vinolas J, Berg M, Polach O, Stichel S (2011) Modelling of suspension components in a rail vehicle dynamics context. Veh Syst Dyn 49:1021–1072. https://doi.org/10.1080/00423114.2011.586430
Qazizadeh A, Persson R, Stichel S (2015) On-track tests of active vertical suspension on a passenger train. Veh Syst Dyn 53:798–811. https://doi.org/10.1080/00423114.2015.1015429
Choi SB, Suh MS, Park DW, Shin MJ (2001) Neuro-fuzzy control of a tracked vehicle featuring semi-active electro-rheological suspension units. Veh Syst Dyn 35:141–162. https://doi.org/10.1076/vesd.35.3.141.2046
Choi SB, Han YM, Song HJ, Sohn JW, Choi HJ (2007) Field test on vibration control of vehicle suspension system featuring ER shock absorbers. J Intell Mater Syst Struct 18:1169–1174. https://doi.org/10.1177/1045389X07083133
Wang DH, Liao WH (2005) Modeling and control of magnetorheological fluid dampers using neural networks. Smart Mater Struct 14:111–126. https://doi.org/10.1088/0964-1726/14/1/011
Rahman M, Ong ZC, Julai S, Ferdaus MM, Ahamed R (2017) A review of advances in magnetorheological dampers: their design optimization and applications. J Zhejiang Univ Sci A 18:991–1010. https://doi.org/10.1631/jzus.A1600721
Dong XM, Yu M, Li Z, Liao C, Chen W (2009) A comparison of suitable control methods for full vehicle with four MR dampers part II controller synthesis and road test validation. J Intell Mater Syst Struct 20:1107–1119. https://doi.org/10.1177/1045389X09104789
Wang DH, Liao WH (2009) Semi-active suspension systems for railway vehicles using magnetorheological dampers Part I : system integration and modelling using magnetorheological dampers. Veh Syst Dyn. https://doi.org/10.1080/00423110802538328
Oh J, Jeon K, Kim G (2021) Dynamic analysis of semi-active MR suspension system considering response time and damping force curve. J Intell Mater Syst Struct. https://doi.org/10.1177/1045389X20983920
Ahmadian M, Pare CA (2000) A quarter-car experimental analysis of alternative semiactive control methods. J Intell Mater Syst Struct 11:604–612. https://doi.org/10.1106/MR3W-5D8W-0LPL-WGUQ
Choi SB, Nam MH, Lee BK (2001) Vibration control of a MR seat damper for commercial vehicles. J Intell Mater Syst Struct 11:936–944. https://doi.org/10.1106/AERG-3QKV-31V8-F250
Zong LH, Gong XL, Xuan SH, Guo CY (2013) Semi-active H∞ control of high-speed railway vehicle suspension with magnetorheological dampers. Veh Syst Dyn 51:600–626. https://doi.org/10.1080/00423114.2012.758858
Sun S, Deng H, Li W, Du H, Ni YQ, Zhang J, Yang J (2013) Improving the critical speeds of high-speed trains using magnetorheological technology. Smart Mater Struct 22:1–14. https://doi.org/10.1088/0964-1726/22/11/115012
Pang H, Fu WQ, Liu K (2015) Stability analysis and fuzzy smith compensation control for semi-active suspension systems with time delay. J Intell Fuzzy Syst 29:2513–2525. https://doi.org/10.3233/IFS-151954
Negash BA, You W, Lee J, Lee C, Lee K (2021) Semi-active control of a nonlinear quarter-car model of hyperloop capsule vehicle with Skyhook and Mixed Skyhook-Acceleration Driven Damper controller. Adv Mech Eng 13:1–14. https://doi.org/10.1177/1687814021999528
Iao MYU, Hoi SBC, Ong XMD (2009) Fuzzy neural network control for vehicle stability utilizing magnetorheological suspension system. J Intell Mater Syst Struct. https://doi.org/10.1177/1045389X08091972
Chen BC, Shiu YH, Hsieh FC (2011) Sliding-mode control for semi-active suspension with actuator dynamics. Veh Syst Dyn 49:277–290. https://doi.org/10.1080/00423111003602376
Zong L, Gong X, Xuan S, Guo C (2012) Semi-active H ∞ control of high-speed railway vehicle suspension with magnetorheological dampers. Veh Syst Dyn. https://doi.org/10.1080/00423114.2012.758858
Jin T, Liu Z, Sun S, Ren Z, Deng L, Yang B, Christie MD, Li W (2020) Development and evaluation of a versatile semi-active suspension system for high-speed railway vehicles. Mech Syst Signal Process 135:106338. https://doi.org/10.1016/j.ymssp.2019.106338
Alehashem SMS, Ni YQ, Liu XZ (2021) A Full-scale experimental investigation on ride comfort and rolling motion of high-speed train equipped with MR dampers. IEEE Access 9:118113–118123. https://doi.org/10.1109/access.2021.3106953
Fan YT, Wu WF (2006) Dynamic analysis and ride quality evaluation of railway vehicles - numerical simulation and field test verification. J Mech 22:1–12. https://doi.org/10.1017/s1727719100000721
Dumitriu M, Stănică DI (2021) Study on the evaluation methods of the vertical ride comfort of railway vehicle—mean comfort method and sperling’s method. Appl Sci. https://doi.org/10.3390/app11093953
Kim YG, Kwon HB, Kim SW, Park CK, Park TW (2003) Correlation of ride comfort evaluation methods for railway vehicles. Proc Inst Mech Eng Part F J Rail Rapid Transit 217:73–88. https://doi.org/10.1243/095440903765762823
UIC 513R (1994) Guidelines for evaluating passenger comfort in relation to vibration in railway vehicles, International Union of Railways
ISO/DIS 2631-1.2. (1995) Mechanical vibration and shock- evaluation of human exposure to whole-body vibration. Part 1: General Requirements, International Organization for Standardization
ENV 12299 (1999) Railway applications-ride comfort for passengers-measurement and evaluation, European Committee for Standardization
Dev Anand M, Janardhanan KA, Gopu P, Kinslin D (2016) Design, modelling and study of magnetorheological dampers in suspension system. J Chem Pharm Sci 9:347–350
Elsaady W, Oyadiji SO, Nasser A (2020) A review on multi-physics numerical modelling in different applications of magnetorheological fluids. J Intell Mater Syst Struct 31:1855–1897. https://doi.org/10.1177/1045389X20935632
Arsava KS, Kim Y (2015) Modeling of magnetorheological dampers under various impact loads. Shock Vib. https://doi.org/10.1155/2015/905186
Wang DH, Liao WH (2011) Magnetorheological fluid dampers: a review of parametric modelling. Smart Mater Struct. https://doi.org/10.1088/0964-1726/20/2/023001
Dominguez A, Sedaghati R, Stiharu I (2006) A new dynamic hysteresis model for magnetorheological dampers. Smart Mater Struct 15:1179–1189. https://doi.org/10.1088/0964-1726/15/5/004
Dominguez A, Sedaghati R, Stiharu I (2004) Modelling the hysteresis phenomenon of magnetorheological dampers. Smart Mater Struct 13:1351–1361. https://doi.org/10.1088/0964-1726/13/6/008
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Appendix A
Appendix A
Train subsystem | Symbol | Description |
---|---|---|
Carbody | M c | Carbody mass |
I cz | Carbody yaw moment of inertia | |
I cx | Carbody roll moment of inertia | |
Bogie | M b | Bogie mass |
I bz | Bogie yaw mass moment of inertia | |
I bx | Bogie roll mass moment of inertia | |
Wheelset | M w | Mass per wheelset |
I wz | Wheelset yaw moment of inertia | |
Primary suspension | K px | Longitudinal spring stiffness coefficient |
K py | Lateral spring stiffness coefficient | |
K pz | Vertical spring stiffness coefficient | |
C pz | Vertical damper damping coefficient | |
Secondary suspension | K sx | Longitudinal spring stiffness coefficient |
K sz | Vertical spring stiffness coefficient | |
C sx | longitudinal damper damping coefficient | |
C sy | Lateral damper damping coefficient | |
C sz | Vertical damper damping coefficient | |
Other parameters | l | Half distance of centre pin spacing of bogie |
d | Half distance between wheelbase | |
g 0 | Half lateral spacing of primary suspension | |
a | Half distance of wheel-gauge | |
e h | Secondary suspension lateral spacing (half) | |
P ts | Distance between bogie frame c.g to vertical secondary suspension | |
P cs | Distance between carbody c.g to vertical secondary suspension | |
P tp | Distance between bogie frame c.g to vertical primary suspension | |
P wp | Wheelset c.g to vertical secondary suspension distance | |
r 0 | Rolling radius of wheel | |
V | Vehicle speed | |
Wheel rail parameters | f 11 | Creep coefficient (longitudinal) |
f 22 | Creep coefficient (lateral) | |
λ e | Effective wheel conicity | |
σ | Roll coefficient of wheelset |
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Singh, S., Kumar, A. Modelling and Analysis of a Passenger Train for Enhancing the Ride Performance Using MR-Based Semi-active Suspension. J. Vib. Eng. Technol. 10, 1737–1751 (2022). https://doi.org/10.1007/s42417-022-00479-y
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DOI: https://doi.org/10.1007/s42417-022-00479-y