Structural and Multidisciplinary Optimization

, Volume 59, Issue 1, pp 279–289 | Cite as

Multi-objective optimization of electric multiple unit wheel profile from wheel flange wear viewpoint

  • Dabin CuiEmail author
  • Ruichen Wang
  • Paul Allen
  • Boyang An
  • Li Li
  • Zefeng Wen
Industrial Application


The CRH1 train is one of the main commuter trains in China which is mostly operating on typical and high-speed lines. Previously, a high-speed car wheel profile was used on the CRH1 train, but it does not match well with the train suspension parameters and also causes the instability of the train on tangent track and large curved track. Therefore, a new profile was designed as the replacement of the old one for the CRH1 train. However, the use of the new profile results in the serious wheel flange and rail gauge corner wear but it can provide better stability compared to the old profile. This paper first presents the evaluation of using the two profiles, and then a development of the wheel profile is objected in terms of both currently used profiles, which is not only to minimize the flange wear and also take the vehicle dynamic behavior into consideration. A multi-objective optimization method was, therefore, to propose for the minimization of the lateral force and the stability of wheelsets. The requirements of the wheel profile geometry are investigated through proposed optimization method. Finally, the profile satisfied the safety requirements of the vehicle has been provided by using the particle swarm optimization method. Furthermore, the evaluation of vehicle dynamic has been performed by using Multi-Body Simulation Software. The entire design process has been completed in a closed-loop procedure programed in MATLAB. The findings show that the developed profile after the optimization procedure is fairly acceptable for the requirements of the wheel-rail interface and dynamic behavior of CRH1 train.


Multi-objective optimization Flange wear Wheel profile design Vehicle dynamic behavior 


Funding information

The present work has been supported by the National Natural Science Foundation of China (Nos. 51605394 and U1434210), the Department of Education Foundation of Sichuan Province (No. 16ZB0011), and the Key Research Project of Leshan City (No. 16ZDYJ0147).


  1. Clerc M, Kennedy J (2002) The particle swarm-explosion, stability, and convergence in a multidimensional complex space. IEEE Trans Evol Comput 6(1):58–73CrossRefGoogle Scholar
  2. Cui D, Li L, Jin X, Li L (2010) Wheel-rail profiles matching design considering railway track parameters. Chin J Mech Eng 23(4):410–417CrossRefGoogle Scholar
  3. Cui D, Li L, Jin X (2011) Optimal design of wheel profiles based on weighted wheel/rail gap. Wear 271:218–222CrossRefGoogle Scholar
  4. Cui D, Wang H, Li L, Jin X (2015) Optimal design of wheel profile for high-speed train. P I MECH ENG F-J RAI 229(3):248–261Google Scholar
  5. Cui D, Zhang W, Tian G et al (2016) Designing the key parameters of EMU bogie to reduce side wear of rail. Wear 366-367:49–59CrossRefGoogle Scholar
  6. Haque I, Latimer DA, Law EH (1989) Computer-aided wheel profile design for railway vehicles. ASME J Eng Ind 111:288–291CrossRefGoogle Scholar
  7. Heumann H (1934) Zur Frage des Radreifen-umrisses. Organ Forts Eisenba 89(18):336–342Google Scholar
  8. Ignesti M, Innocenti A, Marini L, Meli E, Rindi A, Toni P (2013) Wheel profile optimization on railway vehicles from the wear viewpoint. Int J Nonlin Mech 53:41–54CrossRefGoogle Scholar
  9. Jahed H, Farshi B, Eshraghi MA, Nasr A (2008) A numerical optimization technique for design of wheel profiles. Wear 264:1–10CrossRefGoogle Scholar
  10. Jin X, Shen Z (2001) Development of rolling contact mechanics of wheel/rail systems. Adv Mech 31(1):33–46Google Scholar
  11. Liu X (2000) Development of arc-shaped tread contour for locomotives and rolling stock. Rolling Stock 38(2):24–28Google Scholar
  12. Markine VL, Shevtsov IY, Esveld C (2007) An inverse shape design method for railway wheel profiles. Struct Multidiscip Optim 33:243–253CrossRefGoogle Scholar
  13. Polach O (2011) Wheel profile design for target conicity and wide tread wear spreading. Wear 271:195–201CrossRefGoogle Scholar
  14. Ratnaweera A, Halgamuge S (2004) Self-organizing hierarchical particle swarm optimizer with time-varying acceleration coefficients. IEEE Trans Evol Comput 8(3):240–255CrossRefGoogle Scholar
  15. Sato E (2000) The scientific design of wheel tread shape. J Fore dies Locom 3:39–43Google Scholar
  16. Sato Y (2005) History study on designing Japanese rail profiles. Wear 258(7–8):1064–1070CrossRefGoogle Scholar
  17. Shen G, Ayasse JB, Chollet H et al (2003) A unique design method for wheel profiles by considering the contact angle function. Proc IMechE F J Rail Rapid Transit 217:25–30CrossRefGoogle Scholar
  18. Shen G, Chollet H, Ye Z (2005) Study on wheel profile and contact analysis. J Chin Rai Soci 27(4):25–29Google Scholar
  19. Shen G, Zhong X (2010) Inverse method for design of wheel profiles for railway vehicles. J Mech Eng 16:41–47CrossRefGoogle Scholar
  20. Shevtsov IY, Markine VL, Esveld C (2005) Optimal design of wheel profile for railway vehicles. Wear 258:1002–1030CrossRefGoogle Scholar
  21. Wickens AH (1998) Dynamics of railway vehicles - from Stephenson to Carter. Proc Inst Mech Eng F J Rail Rapid Transit 212(3):209–217CrossRefGoogle Scholar
  22. Wu H M. (2000). Investigations of wheel/rail interaction on wheel flange climb derailment and wheel/rail profile compatibility [D]. The Graduate College of the IITGoogle Scholar
  23. Yang G (1978a) A preliminary study of wheel tread shape (upper section)[J]. Rolling stock 11:1–6Google Scholar
  24. Yang G (1978b) A preliminary study of wheel tread shape (lower section)[J]. Rolling stock 12:1–17Google Scholar
  25. Zhang J, Wen Z, Sun L, Jin X (2008) Wheel profile design based on rail profile expansion method. Chin J Mech Eng 44(3):44–49CrossRefGoogle Scholar
  26. Zhang S, Gu J (2009) Thinking and assumption of independent innovation of wheelset for high-speed cars in China. Rolling stock 47(3):1–5Google Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Mechanical EngineeringSouthwest Jiaotong UniversityChengduChina
  2. 2.Key Laboratory of High-speed Railway EngineeringMinistry of EducationChengduChina
  3. 3.Institute of railway researchUniversity of HuddersfieldHuddersfieldUK
  4. 4.State Key Laboratory of Traction PowerSouthwest Jiaotong UniversityChengduChina

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