双频激励下高温超导改进型悬浮架系统的混沌运动研究  

Study on Chaotic Motion of High Temperature Superconducting Improved Suspension System Under Dual-Frequency Excitation

作　　者：张明亮 段佳琪 杨新梦 刘鹏飞 张连朋 Zhang Mingliang;Duan Jiaqi;Yang Xinmeng;Liu Pengfei;Zhang Lianpeng(School of Mechanical Engineering,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;Hebei Key Laboratory of Power and Transmission Control of Construction Machinery,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;State Key Laboratory of Rail Transit Vehicle System,Southwest Jiaotong University,Chengdu 610031,China)

机构地区：[1]石家庄铁道大学机械工程学院,河北石家庄050043 [2]石家庄铁道大学河北省工程机械动力与传动控制重点实验室,河北石家庄050043 [3]西南交通大学轨道交通运载系统全国重点实验室,四川成都610031

出　　处：《石家庄铁道大学学报（自然科学版）》2023年第4期74-81,共8页Journal of Shijiazhuang Tiedao University(Natural Science Edition)

基　　金：河北省高等学校科学技术研究项目(ZD2022064);国家自然科学基金青年项目(52205064);牵引动力国家重点实验室(西南交通大学)开放课题(TPL2010);河北省科技研发平台建设专项(21567622H);河北省自然科学基金面上项目(A2022210024)。

摘　　要：为研究高温超导钉扎悬浮列车改进型悬浮架系统的非线性振动行为,探索系统参数和运行参数对其混沌运动的影响,基于冻结镜像模型提出了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拟合数据构建悬浮力经验公式的数学模型。基于该模型建立系统的运动微分方程,使用Melnikov方法求解系统的混沌阈值,研究系统参数与运行参数对混沌阈值的影响,给出系统避免发生混沌运动的参数可行域和方法,以及双频激励下不发生联合共振时两激励频率应满足的关系。In order to study the nonlinear vibration behavior of the improved suspension frame system of high temperature superconducting flux-pinned suspension train and explore the influence of system parameters and operating parameters on its chaotic motion,a method of equivalent treatment of high temperature superconductor was proposed based on the frozen image model.The correctness of the method was verified by way of the experimental data,thus the suspension force data of the improved suspension frame system was obtained with this method.The mathematical model of the suspension force empirical formula was constructed using the cubic polynomial function fitting data.Based on this model,the differential equation of motion of the system was established.The Melnikov method was used to solve the chaotic threshold of the system,and the influence of system parameters and operating parameters on the chaotic threshold was studied.The feasible region and method of parameters for the system to avoid chaotic motion were given,and the relationship between the two excitation frequencies when the joint resonance did not occur under dual frequency excitation was provided.

关 键 词：改进型悬浮架 非线性振动 混沌 MELNIKOV方法 参数可行域 

分 类 号：U266.4[机械工程—车辆工程]