Optimization design of the non-symmetric profile of small radius curved rails for overloaded railways

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (6) : 272-281.

TRANSPORTATION SCIENCE

Optimization design of the non-symmetric profile of small radius curved rails for overloaded railways

DING Wangcai1，2， ZHANG Jiandong1， GE Feiyuan1， WU Shaopei1， LI Deyang1， LI Guofang*1

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Abstract

To investigate the optimization problem of steel rail profile on small radius curves in heavy haul railways, the wear area and rolling circle radius difference of the outer and inner rails are taken as the optimization objectives. While considering reducing wear, the ability of vehicles to negotiate curves is also optimized. The Kriging theory is used to fit the objective function and obtain the corresponding mathematical model. The NURBS theory is used to parameterize the rail profile, and the second-generation Non-dominated Sorting Genetic Algorithm (NSGA-II) is employed to solve the objective function and obtain the optimized rail profile. The wear performance, dynamic performance, rail rolling contact fatigue, and wheel wear performance of the optimized profile are analyzed to evaluate the optimization profile from multiple perspectives. The results show that the range of design variables significantly affects the objective function. After optimizing the range of design variables, the performance of the obtained optimal profile in terms of wear area and rolling circle radius difference is superior to that of the optimal profile corresponding to the initial range of design variables. The optimized profile outperforms the CN75 profile in terms of wear index, wear power, and rail wear volume. It also exhibits better dynamic performance, such as wheel lateral shift, compared to the CN75 profile, ensuring better safety and stability of train operation. In terms of rail rolling contact fatigue, the optimized profile is superior to the CN75 profile, with the right rail showing the most significant improvement. In terms of wheel wear, the difference in the wear impact on the wheel between the optimized profile and the CN75 profile is small. The overall wear volume of the optimized profile for the outer and inner rails is slightly reduced compared to the CN75 profile, and the wheel wear performance of the optimized profile is better than that of the initial CN75 profile during the early stage of wear.

Key words

wheel-rail wear / optimization of steel rail profiles for small radius curves / the impact of design variables / NSGA-II algorithm / rail fatigue damage

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DING Wangcai1, 2, ZHANG Jiandong1, GE Feiyuan1, WU Shaopei1, LI Deyang1, LI Guofang1. Optimization design of the non-symmetric profile of small radius curved rails for overloaded railways[J]. Journal of Vibration and Shock, 2025, 44(6): 272-281

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