The influence of AAR coupler features on estimation of in-train forces

Abstract

Inadequate management of large in-train forces transferred through coupler systems of a railway train leads to running and structural failures of vehicles. Understanding these phenomena and their mitigation requires accurate estimation of relative motions and in-train forces between vehicle bodies. Previous numerical studies have ignored inertia of coupling elements and the impacts between couplers. Thus, existing models underestimate the additional dynamic variations in in-train forces. Detailed multi-body dynamic models of two AAR (Association of American Railroads) coupler systems used in passenger and freight trains are developed, incorporating coupler inertia and various slacks. Due to the modeling and simulation complexities involved in a full train model, with such details of coupler system, actual longitudinal train dynamics is not studied. A system comprising only two coupling units, inter-connecting two consecutive vehicles, is modeled. Considered system has been fixed at one end and an excitation force is applied at the other end, to mimic a relative force transmission through combined coupler system. Simulation results obtained from this representative system show that, noticeable influence in in-train forces are expected due to the combined effect of inertia of couplers and intermittent impacts between couplers in the slack regime. Maximum amplitude of longitudinal reaction force, transferred from draft gear housing to vehicle body, is expected to be significantly higher than that predicted using existing models of coupler system. It is also observed that the couplers and knuckles are subjected to significant longitudinal and lateral contact forces, due to the intermittent impacts between couplers. Thus, accurate estimation of draft gear reaction force and impact forces between couplers are essential to design vehicle and coupler components, respectively.

Keywords

Automatic railway coupler / Draft gear / Longitudinal train dynamics / In-train forces / Coupler slack / Intermittent impacts

References

[1.] Ma H Chen D Yin J. Riding comfort evaluation based on longitudinal acceleration for urban rail transit-mathematical models and experiments in beijing subway. Sustainability, 2020 12 11 4541

[2.] Powell JP Palacín R. Passenger stability within moving railway vehicles: limits on maximum longitudinal acceleration. Urban Rail Transit, 2015 1 2 95-103

[3.] Sharma SK Chaturvedi S. Jerk analysis in rail vehicle dynamics. Perspect Sci, 2016 8 648-650

[4.] Guo L Wang K. Analysis of coupler jackknifing and its effect on locomotives on a tangent track. Proc Instit Mech Eng, Part F: J Rail Rapid Transit, 2018 232 5 1559-1573

[5.] Ge X, Ling L, Guo L, Shi Z, Wang K (2020) Dynamic derailment simulation of an empty wagon passing a turnout in the through route. Veh Syst Dyn 60(4):1148–1169

[6.] Xu T Hu J Huang W Bao W Zhang D. Failure analysis and optimization of the light rail vehicle folding coupler in Hong Kong, Advances in Materials Science and Engineering, 2021 Boca Raton CRC Press

[7.] Popović MV Tanasković J Glišić D Radović N Franklin F. Experimental and numerical research on the failure of railway vehicles coupling links. Eng Fail Anal, 2021 127 105497

[8.] Wagner S Cole C Spiryagin M. A review on design and testing methodologies of modern freight train draft gear system. Railw Eng Sci, 2021 29 127-151

[9.] Jackiewicz J. Coupler force reduction method for multiple-unit trains using a new hierarchical control system. Railw Eng Sci, 2021 29 2 163-182

[10.] Ling L Xiao X-B Xiong J-Y Zhou L Wen Z-F Jin X-S. A 3d model for coupling dynamics analysis of high-speed train/track system. J Zhejiang Univ Sci A, 2014 15 12 964-983

[11.] Aida T, Nishimi Y, Yamaguchi A, Yamamoto T (2018) History and future prospects of rolling stock parts. JSW Tech Rev 20:81–88

[12.] Funke U (2017) Development of functional requirements for sustainable and attractive european rail freight. European Union’s Horizon Research and Innovation Programme, Luxembourg

[13.] Vasiliev A. Efficiency evaluation of freight cars perspective draft gear coupler. Proc Eng, 2017 206 299-304

[14.] Xu Y, Zhu L, Feng Q, Wang S (2022) Research on dynamics coupler draftgear system of heavy-haul locomotive. In: Second International Conference on Rail Transportation, Chengdu, pp 557–567

[15.] Bosso N Magelli M Rossi Bartoli L Zampieri N. The influence of resistant force equations and coupling system on long train dynamics simulations. Proc Instit Mech Eng, Part F: J Rail Rapid Transit, 2022 236 1 35-47

[16.] Iwnicki S Spiryagin M Cole C McSweeney T. Handbook of railway vehicle dynamics, 2006 Boca Raton CRC Press

[17.] Wu Q Spiryagin M Cole C. Longitudinal train dynamics: an overview. Veh Syst Dyn, 2016 54 12 1688-1714

[18.] Pipes LA. Analysis of longitudinal motions of trains by the electrical analog. J Appl Phys, 1942 13 12 780-786

[19.] Davis JH Barry BM. A distributed model for stress control in multiple locomotive trains. Appl Math Optim, 1976 3 163-190

[20.] Ahmed ME, Bayoumi MM (1983) Tracking and control of freight trains using a multivariable P.I. controller. In: American Control Conference. San Francisco, pp 591–597

[21.] Peters DA, Yin SK (1977) Non-destructive impact between railroad cars: experimental and analytical study. Federal Railroad Administartion, U. S. Department of Transportation, pp 1–57

[22.] Ward E, Leonard R (1974) Automatic parameter identification applied to a railroad car dynamic draft gear model. J Dyn Sys Meas Control 96(4):460–465

[23.] Hsu T, Peters D (1978) A simple dynamic model for simulating draft-gear behavior in rail-car impacts. J Eng Indus 100:492–496

[24.] Cole C (1998) Improvements to wagon connection modeling for longitudinal train simulation. In: Engineering Innovation for a Competitive Edge Conference on Railway Engineering, Yeppoon

[25.] Wu Q Cole C Spiryagin M Ma W. Preload on draft gear in freight trains. Proc Instit Mech Eng, Part F: J Rail Rapid Transit, 2018 232 6 1615-1624

[26.] Nasr A Mohammadi S. The effects of train brake delay time on in-train forces. Proc Instit Mech Eng, Part F: J Rail Rapid Transit, 2010 224 6 523-534

[27.] Cheli F Di Gialleonardo E Melzi S. Freight trains dynamics: effect of payload and braking power distribution on coupling forces. Veh Syst Dyn, 2017 55 4 464-479

[28.] Wu Q Spiryagin M Cole C. Advanced dynamic modelling for friction draft gears. Veh Syst Dyn, 2015 53 4 475-492

[29.] Eckert JJ, Teodoro ÍP, Teixeira LH, Martins TS, Kurka PR, Santos AA (2023) A fast simulation approach to assess draft gear loads for heavy haul trains during braking. Mech Des Struct Mach 51(3):1606–1625

[30.] Uyulan C Arslan E. Simulation and time-frequency analysis of the longitudinal train dynamics coupled with a nonlinear friction draft gear. Nonlinear Eng, 2020 9 1 124-144

[31.] Wu Q, Cole C, Spiryagin M (2018) Assessing wagon pack sizes in longitudinal train dynamics simulations. Australian J Mech Eng 18(3):277–287

[32.] Zhang Z Li G Chu G Zu H Kennedy D. Compressed stability analysis of the coupler and buffer system of heavy-haul locomotives. Veh Syst Dyn, 2015 53 6 833-855

[33.] Lei C, Liu J, Dong L, Ma W (2019) Influence of draft gear modeling on dynamics simulation for heavy-haul train. Shock Vibr 6:1–11

[34.] Kovalev R Sakalo A Yazykov V Shamdani A Bowey R Wakeling C. Simulation of longitudinal dynamics of a freight train operating through a car dumper. Veh Syst Dyn, 2016 54 6 707-722

[35.] Liu P-F Wang K-Y. Dynamic performance of heavy-haul combined train applying emergency braking on straight line. J Central South Univ, 2017 24 8 1898-1908

[36.] Wei L Zheng B Zeng J. Braking induced impact for train to train rescue. Veh Syst Dyn, 2017 55 4 480-500

[37.] Lv K Wang K Chen Z Guo L Shi Z Ji T Zhu S. The effect of the secondary lateral stopper on the compressed stability of the couplers and running safety of the locomotives. Proc Instit Mech Eng, Part F: J Rail Rapid Transit, 2018 232 3 851-862

[38.] Liu P Zhai W Wang K. Establishment and verification of three-dimensional dynamic model for heavy-haul train-track coupled system. Veh Syst Dyn, 2016 54 11 1511-1537

[39.] Zhou Y, Shi Z, Hecht M (2021) Comparison of friction draft gear models for simulation in longitudinal train dynamics. Veh Syst Dyn 60(7):2436–2450

[40.] Xu Z Wu Q Luo S Ma W Dong X. Stabilizing mechanism and running behavior of couplers on heavy haul trains. Chinese J Mech Eng, 2014 27 6 1211-1218

[41.] Qing W Shi-hui L Chong-feng W Wei-hua M. Dynamics simulation models of coupler systems for freight locomotive. J Traffic Transp Eng, 2012 12 3 37-43

[42.] Xu Z Ma W Wu Q Luo S. Coupler rotation behaviour and its effect on heavy haul trains. Veh Syst Dyn, 2013 51 12 1818-1838

[43.] Wu Q Yang X Cole C Luo S. Modelling polymer draft gears. Veh Syst Dyn, 2016 54 9 1208-1225

[44.] Belousov A (2006) Development of design and numerical modelling of friction-polymer draft gears. Dissertation, Bryansk State University (in Russian)

[45.] Cole C, Spiryagin M, Wu Q, Bosomworth C (2018) Practical modelling and simulation of polymer draft gear connections. In: First International Conference on Rail Transportation, Chengdu, pp 413–423

[46.] Erkaya S Uzmay I. Investigation on effect of joint clearance on dynamics of four-bar mechanism. Nonlinear Dyn, 2009 58 179-198

[47.] Li X, Zhao D, Xie F, Wu S, Li X (2021) Experimental investigations of the dynamic responses of a multi-link mechanism with revolute clearance joints. Adv Mech Eng 13(4):168781402110125

[48.] Bai Z, Xu F, Zhao J (2021) Numerical and experimental study on dynamics of the planar mechanical system considering two revolute clearance joints. Int J Mech Syst Dyn 1(2):256–266

[49.] Zhang X Zhang X. Minimizing the influence of revolute joint clearance using the planar redundantly actuated mechanism. Robot Computer-Integr Manuf, 2017 46 C 104-113

[50.] Lu B, Wei W, Qu B (2014) How coupler-knuckle’s surface s angle impact on coupler operation performances in key engineering materials. Key Eng Mater 620:306–311

[51.] Yao Y, Zhang X, Zhang H, Luo S (2013) The stability mechanism and its application to heavy-haul couplers with arc surface contact. Veh Syst Dyn 51(9):1324–1341

[52.] Cole C, Spiryagin M, Wu Q (2020) Modelling complex series combinations of draft gear springs. Advances in Dynamics of Vehicles on Roads and Tracks, Springer, pp 591–598

[53.] Yadav OP, Vyas NS (2022) Influence of slack of automatic aar couplers on longitudinal dynamics and jerk behaviour of rail vehicles. Veh Syst Dyn. https://doi.org/10.1080/00423114.2022.2107546

[54.] Yadav OP Vyas NS. Stick-slips and jerks in an sdof system with dry friction and clearance. Int J Non-Linear Mech, 2021 137 103790

[55.] Cole C Sun YQ. Simulated comparisons of wagon coupler systems in heavy haul trains. Proc Instit Mech Eng, Part F: J Rail Rapid Transit, 2006 220 3 247-256

[56.] Wu Q Cole C Spiryagin M. Train braking simulation with wheel–rail adhesion model. Veh Syst Dyn, 2020 58 8 1226-1241

[57.] Gao G-J Chen W Zhang J Dong H-P Zou X Li J Guan W-Y. Analysis of longitudinal forces of coupler devices in emergency braking process for heavy haul trains. J Central South Univ, 2017 24 10 2449-2457

[58.] Stokłosa J, Jaśkiewicz M (2014) Simulation study of longitudinal forces in the coupling device of heavy freight trains. Adv Sci Technol Res J 8(21):24–30

[59.] Duncan IB, Webb PA (1989) The longitudinal behaviour of heavy haul trains using remote locomotives. In: Fourth International Heavy Haul Conference, Brisbane, pp 587–590

[60.] Cole C, Spiryagin M, Wu Q, Bosomworth C et al (2016) Modelling issues in passenger draft gear connections. The Dynamics of Vehicles on Roads and Tracks. CRC Press, Boca Raton

[61.] King AP Eckersley R. Statistics for biomedical engineers and scientists: how to visualize and analyze data, 2019 Washington DC Academic Press

[62.] Verheul C (2012) Adams methodology: Contact modeling, https://www.insumma.nl/wp-content/uploads/SayField_Verheul_ADAMS_Contacts.pdf. Accessed June 04, 2021

[63.] Zhu Y, Lyu Y, Olofsson U (2015) Mapping the friction between railway wheels and rails focusing on environmental conditions. Wear 324–325:122–128

[64.] Arnoux J, Sutter G, List G, Molinari A (2011) Friction experiments for dynamical coefficient measurement. Adv Tribol 4:1–6