高温超导磁通钉扎悬浮列车改进型悬浮架系统参数可行域分析

doi:10.3901/JME.2025.23.120

机械工程学报 ›› 2025, Vol. 61 ›› Issue (23): 120-133.doi: 10.3901/JME.2025.23.120

• 机械动力学 • 上一篇

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高温超导磁通钉扎悬浮列车改进型悬浮架系统参数可行域分析

张明亮^1,2,3, 段佳琪¹, 杨新梦¹, 刘鹏飞⁴, 张连朋¹

1. 石家庄铁道大学机械工程学院石家庄 050043;
2. 西南交通大学轨道交通运载系统全国重点实验室成都 610031;
3. 兰州交通大学光电技术与智能控制教育部重点实验室兰州 730070;
4. 石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室石家庄 050043

收稿日期:2024-02-03 修回日期:2024-12-19 发布日期:2026-01-22
作者简介:张明亮,男,1984年出生,博士。副教授,硕士研究生导师,主要研究方向为磁悬浮技术和车辆动力学。E-mail:zmlhit@126.com
刘鹏飞(通信作者),男,1986年出生,博士,教授,博士研究生导师。主要研究方向为车辆动力学。E-mail:lpfswjtu@163.com
基金资助:
河北省高等学校科学技术研究(ZD2022064);国家自然科学基金青年(52205064);轨道交通运载系统全国重点实验室(西南交通大学)开放课题(TPL2010);光电技术与智能控制教育部重点实验室(兰州交通大学)开放课题(KFKT2020-7);河北省自然科学基金面上(A2022210024)资助项目

Parameter Feasible Region Analysis of Improved Suspension System for High Temperature Superconducting Flux Pinning Suspension Train

ZHANG Mingliang^1,2,3, DUAN Jiaqi¹, YANG Xinmeng¹, LIU Pengfei⁴, ZHANG Lianpeng¹

1. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043;
2. State Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu 610031;
3. Key Laboratory of Opto-technology and Intelligent Control of Ministry of Education, Lanzhou Jiaotong University, Lanzhou 730070;
4. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043

Received:2024-02-03 Revised:2024-12-19 Published:2026-01-22

摘要/Abstract

摘要： 为了增大悬浮力和提升安全性，设计了一种用于高温超导磁通钉扎悬浮列车的抱轨式改进型悬浮架系统。首先，基于冻结镜像模型和高温超导体的混合磁场特性提出一种等效处理高温超导体的方法，利用实验数据验证了该方法的正确性，使用该方法得到改进型悬浮架系统的悬浮力数据，采用三次多项式函数进行拟合，建立悬浮力经验公式的数学模型。其次，基于数学模型建立改进型悬浮架系统的动力学方程，采用多尺度法推导系统响应的近似解析解，分析系统参数对振动响应的影响。最后，使用Melnikov方法对系统的混沌阈值进行推导，分析系统参数与运行参数对混沌阈值的影响。结果表明单位质量阻尼与单位质量线性刚度在一定范围内，可同时满足自由振动、主共振与不发生混沌运动的指标要求，且列车的运行速度对自由振动和主共振的影响较为显著，对系统的混沌阈值影响不大。研究成果为磁悬浮列车悬浮架系统的设计和确定合理的运行条件提供理论支撑。

关键词: 改进型悬浮架, 非线性振动, 参数可行域, 混沌

Abstract: In order to increase the suspension force and improve the safety, the rail-holding improved suspension frame system for high temperature superconducting flux pinned suspension train is designed. Firstly, an equivalent processing method for high temperature superconductor is proposed based on the frozen mirror model and the hybrid magnetic field characteristics of high temperature superconductor, and the correctness of the method is verified by way of the experimental data. The suspension force data of the improved suspension system are obtained by the equivalent processing method, and the mathematical model of the suspension force empirical formula is established by using the cubic polynomial function. Secondly, based on the mathematical model, the dynamic equation of the system is established and the approximate analytical solution of the system response is solved, and the influence of the system parameters on the vibration response is analyzed. Finally, the Melnikov method is used to derive the chaotic threshold of the system and the influence of system parameters and operating parameters on the chaotic threshold is discussed. The results show that the damping pre mass and the linear stiffness pre mass are within a certain range, which can meet the response index requirements of free vibration, main resonance and non-chaotic motion synchronously. The running speed of the train has a significant influence on free vibration and main resonance, and has little effect on the chaotic threshold of the system. This manuscript provides the theoretical support for designing the suspension frame system of the magnetic suspension train and determining the appropriate operating conditions.

Key words: improved suspension frame, nonlinear vibration, parameter feasible region, chaos

中图分类号:

U266.4

张明亮, 段佳琪, 杨新梦, 刘鹏飞, 张连朋. 高温超导磁通钉扎悬浮列车改进型悬浮架系统参数可行域分析[J]. 机械工程学报, 2025, 61(23): 120-133.

ZHANG Mingliang, DUAN Jiaqi, YANG Xinmeng, LIU Pengfei, ZHANG Lianpeng. Parameter Feasible Region Analysis of Improved Suspension System for High Temperature Superconducting Flux Pinning Suspension Train[J]. Journal of Mechanical Engineering, 2025, 61(23): 120-133.

参考文献

[1] 闻海虎. 高温超导体磁通钉扎和磁通动力学研究简介[J]. 物理学报,2021,70(1):017405.WEN Haihu. Brief introduction to flux pinning and vortex dynamics in high temperature superconductors[J]. Acta Phys. Sin.,2021,70(1):017405.
[2] YUAN Yuhang,LI Jipeng,DENG Zigang,et al. Dynamic performance of HTS maglev and comparisons with another two types of high-speed railway vehicles[J]. Cryogenics,2021,117:103321.
[3] PALMER C. Engineered to go fast, maglev trains inch forward[J]. Engineering,2021,7(7):891-893.
[4] 伊建辉,孟范鹏,姜衍猛,等. 高温超导磁悬浮列车静态悬浮特性研究[J]. 低温工程,2019,6:56-61. YI Jianhui,MENG Fanpeng,JIANG Yanmeng,et al. Study on static suspension characteristics of high temperature superconducting maglev train[J]. Cryogenics,2019,6:56-61.
[5] 苗欣,李言民,江守亮,等. 基于粒子群算法的磁悬浮列车控制参数优化[J]. 计算机仿真,2021,38(11):117-122. MIAO Xin,LI Yanmin,JIANG Shouliang,et al. Optimization of maglev train control parameters based on particle swarm optimization[J]. Computer Simulation,2021,38(11):117-122.
[6] 苏红建,刘灿昌,栾军超,等. 磁悬浮列车磁轨耦合内共振分析[J]. 噪声与振动控制,2023,43(1):173-178. SU Hongjian,LIU Canchang,LUAN Junchao,et al. Magnetic-rail coupling internal resonance analysis of maglev train[J]. Noise and Vibration Control,2023,43(1):173-178.
[7] WANG Li,DENG Zigang,KOU Long,et al. Stiffness characteristic of high temperature superconducting upper maglev system[J]. Mechanical Systems and Signal Processing,2022,167:108614.
[8] ZHAO Yong,JI Changwei,YANG Ye,et al. Dynamical behavior of HTS maglev system over a NdFeB guideway with a fluctuant field distribution[J]. IEEE Transactions on Applied Superconductivity,2019,29(2):1-6.
[9] CAI Feinan,ZHOU Dajin,WEI Jianjun,et al. Running magnetic resistance of high-Tc superconducting maglev prototype vehicle in an evacuated tube track[J]. Mechanical Systems and Signal Processing,2022,169:108635.
[10] ZHANG Xu,ZHENG Jun,LIU Jianxin,et al. High-temperature superconducting guidance force enhancement by a novel permanent magnet guideway for maglev curve negotiation[J]. Journal of Alloys and Compounds,2022,902:163809.
[11] 马俊,杨万民. 条状永磁体的组合形式及间距对单畴GdBCO超导体磁悬浮力的影响[J]. 物理学报,2011,60(7):077401.MA Jun,YANG Wanmin. Effect of assembled bar magnet configuration on levitation force of single domain GdBCO bulk superconductor[J]. Acta Phys. Sin.,2011,60(7):077401.
[12] 马俊,陈章龙,县涛,等. 空心圆柱形永磁体内径对单畴GdBCO超导块材磁悬浮力的影响[J]. 物理学报,2018,67(7):077401. MA Jun,CHEN Zhanglong,XIAN Tao,et al. Effect of inner diameter of hollow cylindrical permanent magnet on levitation force of single domain GdBCO bulk superconductor[J]. Acta Phys. Sin.,2018,67(7):077401.
[13] LEI Wuyang,ZHENG Jun,HUANG Zhichuan,et al. Study of long-time levitation performance of high temperature superconducting maglev under vertical vibration[J]. Physica C:Superconductivity and Its Applications,2022,600:1354099.
[14] HUANG Chenguang,XU Bin,ZHOU Youhe. Strategies to improve the dynamic levitation performance of superconducting maglevs against force decay and disturbance[J]. Journal of Applied Physics,2020,127(19):193907.
[15] WANG Li,DENG Zigang,CHENG Yanxing. A field cooling method to increase the suspension force of HTS pinning maglev system[J]. Cryogenics,2022,123:103448.
[16] LI Jipeng,DENG Zigang,XIA Chenchao,et al. Subharmonic resonance in magnetic levitation of the high temperature superconducting bulks YBa²Cu³O₇_-_x under harmonic excitation[J]. IEEE Transactions on Applied Superconductivity,2019,29(4):2874421.
[17] LI Qinsghu,DENG Zigang,WANG Li,et al. Active vibration control of secondary suspension based on high-temperature superconducting maglev vehicle system[J]. Physica C:Superconductivity and Its Applications,2021,585(2):1353872.
[18] LI Haitao,KE Zhihao,HUANG Huan,et al. Vibration suppression of high-temperature superconducting maglev system via semi-active suspension system[J]. Physica C:Superconductivity and Its Applications,2022,601:1354109.
[19] ZHANG Penghui,ZHAO Jingzhong,LI Haitao,et al. Vibration reduction using eddy current damper in high-temperature superconducting maglev system[J]. Journal of Superconductivity and Novel Magnetism,2022,35(1):87-94.
[20] JIN Liwei,ZHENG Jun,LI Haitao,et al. Effect of eddy current damper on the dynamic vibration characteristics of high-temperature superconducting maglev system[J]. IEEE Transactions on Applied Superconductivity,2017,27(3):3601706.
[21] SUN Yougang,HE Zhenyu,XU Junqi,et al. Dynamic analysis and vibration control for a maglev vehicle-guideway coupling system with experimental verification[J]. Mechanical Systems and Signal Processing,2023,188,109954.
[22] LI Jipeng,LI Haitao,ZHENG Jun,et al. Nonlinear vibration behaviors of high-Tc superconducting bulks in an applied permanent magnetic array field[J]. Journal of Applied Physics,2017,121(24):R1-338.
[23] ZHUO Peijun,ZHANG Zhaoxia,GOU Xiaofan. Chaotic motion of a magnet levitated over a superconductor[J]. IEEE Transactions on Applied Superconductivity,2016,26(2):1-6.
[24] 张明亮,李明远,刘鹏飞,等. 面向高温超导钉扎磁悬浮列车悬浮特性研究[J]. 中国机械工程,2022,33(22):2764-2771.ZHANG Mingliang,LI Mingyuan,LIU Pengfei,et al. Research on suspension characteristics of high temperature superconducting pinned maglev train[J]. China Mechanical Engineering,2022,33(22):2764-2771.
[25] ZHANG Mingliang,SUN Guoxiang,LIU Pengfei,et al. Research on force characteristics and running performance of novel type high-temperature superconductor magnetic levitation vehicle[J]. Journal of Superconductivity and Novel Magnetism,2022,35(3):635-646.

高温超导磁通钉扎悬浮列车改进型悬浮架系统参数可行域分析

Parameter Feasible Region Analysis of Improved Suspension System for High Temperature Superconducting Flux Pinning Suspension Train

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