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Article Navigation >  Journal of Traffic and Transportation Engineering  > 2017  >  17(5): 71-80
WANG Jian, MA Xiao-chuan, MA Dao-lin, WANG Ping. Simplified calculation method of critical value of 3D derailment coefficient under quasi-static condition[J]. Journal of Traffic and Transportation Engineering, 2017, 17(5): 71-80.
Citation: WANG Jian, MA Xiao-chuan, MA Dao-lin, WANG Ping. Simplified calculation method of critical value of 3D derailment coefficient under quasi-static condition[J]. Journal of Traffic and Transportation Engineering, 2017, 17(5): 71-80.
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Simplified calculation method of critical value of 3D derailment coefficient under quasi-static condition

  • MOE Key Laboratory of High-Speed Railway Engineering, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

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    Abstract
  • According to the coordinate system transformation relationship in wheel-rail system, the 3 Dstress analysis model of wheel-rail contact spot was established under the quasi-static condition, the formula considering wheelset yaw angle and wheel-rail creep force for calculating3 D derailment coefficient was derived, and the calculation method of critical value of 3 D derailment coefficient was obtained when the wheel was in the critical state of derailment.Taking the LMA wheel tread and CHN60 rail profile as examples, the influence rule of wheelset yawangle and friction coefficient on the critical value of 3 Dderailment coefficient was analyzed and compared with the critical value of Nadal derailment coefficient.To simplify the calculation method of 3 Dderailment coefficient, the ratio relation between the Kalker linear synthetic creep force and the three times of Coulomb friction force was discussed according to Shen-HedrickElkins creep model under different wheelset yaw angles, friction coefficients and vertical forces.Through the analysis of variation rules of the ratios between lateral and longitudinal creep forces with different wheelset yaw angles and friction coefficients, a simplified calculation method of 3 D derailment coefficient was proposed under the quasi-static condition and compared with the exact formula.Analysis result shows that compared with the threshold of 3 Dderailment coefficient, when the wheelset yaw angle is less than 1.5°, the proportion of longitudinal creep force in the tangential force is significantly greater than that of lateral creep force, which causes the threshold of Nadal derailment coefficient to be more conservative.However, when the wheelset yaw angle is larger, the proportion of lateral creep force in the tangential force is more than 90%, and the calculated critical values of 3 Dand Nadal derailment coefficient are basically same.In addition, the wheel-rail contact spot has reached purely sliding state in the critical state of wheel derailment.The ratio between lateral and longitudinal creep force is not affected by the friction coefficient and has a strong linear relation with the wheelset yaw angle.Compared with the exact formula, the error by using the simplified method is within±5%, and the simplified method can meet the requirement of engineering application.

     

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