磁轨关系建模对高速磁浮动力学仿真的影响
王志宇1，马卫华*,1，罗世辉1，王波1，王爱彬1,2，张晓旭1
（1.西南交通大学 牵引动力国家重点实验室，四川 成都 610031；2.中车长春轨道客车股份有限公司，吉林 长春 130113）
摘要：为研究磁轨关系建模方式对高速磁浮列车动力学仿真的影响，本文首先建立将磁轨关系简化为2、4、12三种等效集中力数量的单电磁铁模型，计算单电磁铁模型在正弦轨道不平顺下受到的悬浮力，得到不同相位、不同角频率的轨道不平顺激扰对悬浮力的影响。其次通过修正后的德国高速低干扰谱设置轨道不平顺，对比分析不同单电磁铁模型的悬浮力变化；并建立高速磁浮列车动力学模型，通过动力学仿真计算得到列车车体与摆杆间接口的垂向载荷数据，最后通过雨流计数法得到接口载荷幅值数据并进行分析。研究结果表明：等效集中力数量对仿真计算中第1位摆杆接口载荷的影响较大，随着等效集中力数量的增加，所得载荷数据中大幅值循环占比逐渐减小，小幅值循环占比逐渐增大。在低速时等效集中力数量对于仿真结果的影响较为显著，而在时速600 km时影响较小。
关键词：磁浮列车；动力学模型；磁轨关系；接口载荷
中图分类号：U292.9 文献标志码：A doi：10.3969/j.issn.1006-0316.2023.07.005
文章编号：1006-0316 (2023) 07-0031-07
Influence of Magnet-Track Interaction Modeling on DynamicSimulation of High-Speed Maglev Vehicles
WANG Zhiyu1，MA Weihua1，LUO Shihui1，WANG Bo1，WANG Aibin1,2，ZHANG Xiaoxu1
( 1.State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China; 2.CRRC Changchun Railway Vehicles Co., Ltd., Changchun 130113, China )
Abstract：This paper is to study the influence of the magnet-track interaction modeling method on the dynamic simulation of high-speed maglev vehicles. Firstly, the magnet-track interaction is simplified to three models with the equivalent point force of 2, 4 and 12 to calculate the suspension force distribution of different single electromagnet models under sine track irregularity, and the influence of track irregularity with different phases and different angular frequencies on the suspension force is obtained. Secondly, the track irregularity is set through the revised German high-speed low interference spectrum, and the suspension force change of different single electromagnet models is analyzed. Thirdly, the dynamic model of the high-speed maglev vehicle is established to obtain the vertical load data of the interface between the vehicle body and the swing rods through dynamic simulation calculation. Finally, the vertical load data derived through the rain flow counting method is analyzed. The result show that the amount of equivalent point force mainly affects the load of the 1st swing rod. As the amount of equivalent point force increases, in the load data derived, the proportion of the cycles with larger amplitude increases, and the proportion of the cycles with smaller amplitude decreases. At low speeds, the amount of the equivalent point force has a significant impact on the simulation results, but at the speed of 600 km/h, the impact is relatively small.
Key words：maglev vehicles；dynamic models；magnet-track interaction；interface load
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收稿日期：2022-09-16
作者简介：王志宇（1997－），男，山东菏泽人，硕士研究生，主要研究方向为磁浮列车动力学，E-mail：123816348@qq.com。*通讯作者：马卫华（1979－），男，山东滕州人，博士，研究员，主要研究方向为磁浮列车悬浮架设计，E-mail：mwh@swjtu.edu.cn。
（1.西南交通大学 牵引动力国家重点实验室，四川 成都 610031；2.中车长春轨道客车股份有限公司，吉林 长春 130113）
摘要：为研究磁轨关系建模方式对高速磁浮列车动力学仿真的影响，本文首先建立将磁轨关系简化为2、4、12三种等效集中力数量的单电磁铁模型，计算单电磁铁模型在正弦轨道不平顺下受到的悬浮力，得到不同相位、不同角频率的轨道不平顺激扰对悬浮力的影响。其次通过修正后的德国高速低干扰谱设置轨道不平顺，对比分析不同单电磁铁模型的悬浮力变化；并建立高速磁浮列车动力学模型，通过动力学仿真计算得到列车车体与摆杆间接口的垂向载荷数据，最后通过雨流计数法得到接口载荷幅值数据并进行分析。研究结果表明：等效集中力数量对仿真计算中第1位摆杆接口载荷的影响较大，随着等效集中力数量的增加，所得载荷数据中大幅值循环占比逐渐减小，小幅值循环占比逐渐增大。在低速时等效集中力数量对于仿真结果的影响较为显著，而在时速600 km时影响较小。
关键词：磁浮列车；动力学模型；磁轨关系；接口载荷
中图分类号：U292.9 文献标志码：A doi：10.3969/j.issn.1006-0316.2023.07.005
文章编号：1006-0316 (2023) 07-0031-07
Influence of Magnet-Track Interaction Modeling on DynamicSimulation of High-Speed Maglev Vehicles
WANG Zhiyu1，MA Weihua1，LUO Shihui1，WANG Bo1，WANG Aibin1,2，ZHANG Xiaoxu1
( 1.State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu 610031, China; 2.CRRC Changchun Railway Vehicles Co., Ltd., Changchun 130113, China )
Abstract：This paper is to study the influence of the magnet-track interaction modeling method on the dynamic simulation of high-speed maglev vehicles. Firstly, the magnet-track interaction is simplified to three models with the equivalent point force of 2, 4 and 12 to calculate the suspension force distribution of different single electromagnet models under sine track irregularity, and the influence of track irregularity with different phases and different angular frequencies on the suspension force is obtained. Secondly, the track irregularity is set through the revised German high-speed low interference spectrum, and the suspension force change of different single electromagnet models is analyzed. Thirdly, the dynamic model of the high-speed maglev vehicle is established to obtain the vertical load data of the interface between the vehicle body and the swing rods through dynamic simulation calculation. Finally, the vertical load data derived through the rain flow counting method is analyzed. The result show that the amount of equivalent point force mainly affects the load of the 1st swing rod. As the amount of equivalent point force increases, in the load data derived, the proportion of the cycles with larger amplitude increases, and the proportion of the cycles with smaller amplitude decreases. At low speeds, the amount of the equivalent point force has a significant impact on the simulation results, but at the speed of 600 km/h, the impact is relatively small.
Key words：maglev vehicles；dynamic models；magnet-track interaction；interface load
———————————————
收稿日期：2022-09-16
作者简介：王志宇（1997－），男，山东菏泽人，硕士研究生，主要研究方向为磁浮列车动力学，E-mail：123816348@qq.com。*通讯作者：马卫华（1979－），男，山东滕州人，博士，研究员，主要研究方向为磁浮列车悬浮架设计，E-mail：mwh@swjtu.edu.cn。
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