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扣件胶垫刚度频变的车/轨耦合系统随机振动虚拟辛分析
引用本文:韦凯,杨帆,王平,罗伟.扣件胶垫刚度频变的车/轨耦合系统随机振动虚拟辛分析[J].工程力学,2016,33(9):123.
作者姓名:韦凯  杨帆  王平  罗伟
作者单位:1.高速铁路线路工程教育部重点实验室, 成都 610031;
基金项目:国家自然科学基金高铁联合基金项目(U1434201,U1234201);国家杰出青年科学基金项目(51425804);国家青年科学基金项目(51008257,51008158);四川省科技支撑计划项目(2014GZ0003)
摘    要:运用无穷周期子结构的辛数学方法与虚拟激励法,建立了车辆-轨道垂向耦合随机振动虚拟辛分析模型,并用以探讨扣件胶垫频变刚度对轮轨耦合系统随机振动的影响。研究结果表明:扣件胶垫频变刚度对车体垂向随机振动的影响可忽略不计,但却会改变转向架中高频的垂向随机振动幅值,同时还会显著提高轮对与钢轨的垂向随机振动最大功率峰与其第一主频;轮对垂向随机振动最大功率峰与其第一主频随着扣件胶垫刚度频变幅度或低频初始刚度的增大分别呈波浪式渐增与阶梯式上升的变化趋势;在铁路常用扣件胶垫刚度的变化范围内,轮对垂向随机振动最高功率峰的最大增幅是17.5倍,并且其第一主频的最大增量亦可高达40 Hz。因此,为精确预测车辆转向架、车轮及轮下系统的随机振动频域响应,需综合考虑扣件胶垫的低频初始刚度及其刚度频变幅度。

关 键 词:扣件胶垫    刚度频变    车辆-轨道耦合动力学    虚拟激励    辛数学
收稿时间:2015-01-26

SYMPLECTIC RANDOM VIBRATION ANALYSIS OF VEHICLE-TRACK COUPLED SYSTEM CONSIDERING FREQUENCY-DEPENDENT STIFFNESS OF RAIL PADS
Affiliation:1.Key Laboratory of High-speed Railway Engineering, Ministry of Education, Chengdu 610031, China;2.School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China
Abstract:The Symplectic mathematics model of random vibration for a vehicle-track coupled system was established with Pseudo Excitation Method (PEM) and Symplectic Mathematics of infinitely periodic sub-structures. The model was used to explore the influence of the frequency-dependent stiffness of rail pads on the random vibration of a vehicle-track coupled system. The conclusions show that: the frequency-dependent stiffness of rail pads has little effect on the vertical random vibration of a vehicle body, yet alters the middle- and high-frequency vertical random vibration amplitudes of a vehicle bogie, and meanwhile significantly increases the power peak and the 1st dominant frequency of the vertical random vibration of both vehicle wheelset and steel rail; the variation of the power peak and the 1st dominant frequency of wheelset' vertical random vibration with the low-frequency initial stiffness of rail pads or the frequency-dependent extent of their stiffness appears the wavy gradual and the stepped increasing trend, respectively; In the stiffness scope of the commonly-used rail pads, the power peak of wheelset' vertical random vibration has the maximal increase of 17.5 times, and its 1st dominant frequency also has the biggest increment of 40 Hz. Thus, in order to accurately predict the frequency-domain characteristics of the random vibration of a vehicle bogie, of wheels and of the fundamental structure under wheels, it is necessary to comprehensively consider the low-frequency initial stiffness of rail pads and the variation of their stiffness with frequencies.
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