基于NURBS(非均匀有理B样条)的第三轨端部弯头优化
阮杰1钟卓林1王柄钦1李红梅2徐鸿燕2阎晓晖3
Optimization of Third Rail End Elbow Based on NURBS
RUAN Jie1ZHONG Zhuolin1WANG Bingqin1LI Hongmei2XU Hongyan2YAN Xiaohui3
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作者信息:1.武汉理工大学现代汽车零部件技术湖北省重点实验室， 430070， 武汉
2.中铁第四勘察设计院集团有限公司电化院， 430063， 武汉
3.武汉地铁运营有限公司， 430035， 武汉
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Affiliation:1.Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, 430070, Wuhan, China
2.Electrification Design and Research Institute, China Railway Siyuan Survey and Design Group Co., Ltd., 430063, Wuhan, China
3.Wuhan Metro Operation Co., Ltd., 430035, Wuhan, China
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关键词:
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Key words:
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DOI:10.16037/j.1007-869x.2025.05.037
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中图分类号/CLCN:U264.34
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栏目/Col:供电与能源
摘要:
［目的］为改善靴轨系统端部弯头的碰撞性能、提升受流质量，有必要开展基于NURBS(非均匀有理B样条)的第三轨端部弯头优化研究。［方法］以武汉某地铁线路的端部弯头为例，基于参数化设计及多目标优化理念对其进行优化设计。根据列车运行速度为120 km/h工况下的靴轨系统端部弯头碰撞仿真，确定靴轨系统高速工况受流质量评价指标；通过NURBS建立端部弯头截面拉伸曲线；通过ANSYS参数化设计语言，建立一种曲线型端部弯头有限元模型；以截面拉伸曲线的控制点坐标为设计变量，通过主效应分析选取优化目标，明确设计变量的取值范围；基于NSGA-Ⅱ(非支配排序遗传算法Ⅱ)建立曲线型端部弯头的多目标优化模型，并通过非支配排序法与最小最大后悔值法选取最优解。［结果及结论］根据主效应分析结果，选取入弯碰撞力、出弯碰撞力、总离线时间、最大冲击加速度为优化目标，单次最大离线时间、碰撞次数为约束条件。优化后，靴轨系统的端部弯头受流质量有所改善，当列车运行速度为120 km/h时，总离线时间和单次最大离线时间优化效果显著，分别降低了80.77%和89.96%；入弯碰撞力与出弯碰撞力分别降低了32.26%和44.03%；当列车运行速度为40 km/h、80 km/h时，各项指标均降低了20%以上。
Abstracts:
［Objective］In order to improve the collision performance of the end elbow of the shoe-rail system and enhance the current collection quality, it is necessary to carry out the optimization research on the third-rail end elbow based on NURBS (Non-Uniform Rational B-Spline). ［Method］Taking the end elbow of a certain metro line in Wuhan as example, an optimization design for the end elbow is carried out based on the concepts of parametric design and multi-objective optimization. According to the collision simulation of the end elbow of the shoe-rail system under the working condition of 120 km/h train running speed, the evaluation indicators of the current collection quality of the shoe- rail system under high speed working conditions are determined. The cross-section stretching curve of the end elbow is established through NURBS. A finite-element model of the curved end elbow is established by using the ANSYS Parametric Design Language. Taking the control point coordinates of the cross-section stretching curve as design variables, the optimization objectives are selected through main effect analysis, and the value range of the design variables is clarified. Based on NSGA-II (Non-dominated Sorting Genetic Algorithm II), a multi-objective optimization model of the curved end elbow is established, and the optimal solution is selected through the non-dominated sorting method and the min-max regret value method. ［Result & Conclusion］According to the results of the main effect analysis, the bending-in collision force, bending-out collision force, total offline time, and the maximum impact acceleration are selected as the optimization objectives, and the maximum single offline time and the number of collisions are taken as the constraint conditions. After optimization, the current collection quality of the end elbow of the shoe-rail system is improved. When the train running speed is 120 km/h, the total offline time and the maximum single offline time are significantly optimized, with a reduction of 80.77% and 89.96% respectively. The corner entry impact force and the corner exit impact force are reduced by 32.26% and 44.03% respectively. When the train running speeds are 40 km/h and 80 km/h, all indicators are reduced by more than 20%.
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