• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2025, Vol. 61 ›› Issue (24): 180-189.doi: 10.3901/JME.2025.24.180

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Fast Recursive Algorithm for Reverse Design of High Speed Wheel Profiles

ZHANG Xiao, CHI Maoru, XIE Yuchen, CAI Wubin, LI Yixiao, DAI Liangcheng   

  1. State Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu, 610031
  • Received:2025-01-15 Revised:2025-08-12 Published:2026-01-26

Abstract: LMA wheel profile has good dynamic performance when matching with 60 rail, but its equivalent conicity is lower when matching with 60N rail, which easily leads to vehicle shaking at low frequency, and insufficient curve passing ability when vehicle passes through small radius curve. Therefore, it is necessary to optimize the LMA profile so that it can have the same dynamic performance as the LMA-60 when it matches the 60N rail. In order to solve the above problems, based on wheel-rail contact relationship and vehicle system dynamics theory, and based on the wheel profile inverse design method, an improved method of linear recurrence inverse design is put forward on the basis of wheel profile inverse design method, the contradiction between wheel diameter difference and contact point distribution during profile design is solved, and an improved method of linear recursive inverse design of wheel profile is put forward. This method is applied to optimize the LMA wheel profile, obtaining the LMA04N wheel profile, the wheel-rail relationship and dynamic performance of LMA and LMA04N profiles are compared and analyzed. The results show that the wheel-rail relationship of LMA-60 is achieved by matching LMA04N wheel profile with 60N rail profile, with nominal equivalent conicity of 0.04, more uniform distribution of wheel-rail contact points, optimizing wheel-rail stress and improving wheel concave wear. When LMA04N wheel profile is used to match the 60N rail, the critical speed is 20% higher than that of LMA profile. The shaking of the vehicle with low conicity is effectively suppressed and the safety of small radius curve is improved. At the same time, LMA04N wheel profile and 60 rail profile also achieve a good match. In conclusion, the fast recursive algorithm for wheel profile reversal design can effectively realize the wheel profile optimization design, and the optimized profile LMA04N achieves a good match with the 60N rail, which can better guarantee the dynamic performance of the vehicle.

Key words: wheel profile reverse design method, wheel-rail rolling contact, vehicle system dynamics, equivalent conicity

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