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中南大学学报(自然科学版)

Journal of Central South University

第45卷    第5期    总第237期    2014年5月

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文章编号:1672-7207(2014)05-1635-07
轨道结构上轮对相互影响系数的解析求法
马龙祥,刘维宁,吴宗臻

(北京交通大学 土木建筑工程学院,北京,100044)

摘 要: 为了建立更合理的频域车轨耦合模型,提出一种求解移动荷载状态激振下轨道结构上轮对相互影响系数的解析方法。该解析方法视离散支撑轨道结构为周期性的结构,首先在与列车轮载同速的移动坐标系下对Dirac荷载作用下钢轨的振动控制方程进行系列积分变换,并将影响系数化简为含有钢轨垫片中频域力的表达式,而后以传递矩阵方法求得该频域力,进而最终求得轮对的相互影响系数。研究结果表明:该方法计算准确度高,计算速度快,能很好地应用于频域车轨耦合模型中;列车在高速时采用定点荷载状态激振会产生较大误差,此时宜使用移动荷载状态激振。

 

关键词: 周期性轨道结构;轮对相互影响系数;轨道振动;车轨系统激励模型;解析方法;传递矩阵方法

Analytical method for solving wheelsets’ interaction coefficient on track structure
MA Longxiang, LIU Weining, WU Zongzhen

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

Abstract:In order to establish a more reasonable frequency-domain vehicle-track coupling model, considering the moving excitation, an analytical method for solving wheelsets’ interaction coefficient on track structure was proposed. The method regards the discrete supported track structure as a periodic structure. First, a series of integral transformations were applied on the vibration governing equation of rail under Dirac load in the moving coordinate system with a speed same with wheel forces, and the interaction coefficient was simplified to an expression containing the frequency-domain forces in rail pads. Then, the frequency-domain forces in rail pads were solved through transfer matrix method, and thus the wheelsets’ interaction coefficient was finally obtained. The results show that the method has high accuracy and fast calculation speed, and can be easily used in the frequency-domain vehicle-track coupling model. When the train is at high speed, adopting the fixed excitation will lead to considerable error, and the moving excitation should be used at this moment.

 

Key words: periodic track structure; wheelsets’ interaction coefficient; track vibration; excitation model of vehicle-track system; analytical method; transfer matrix method

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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