摘要
为研究移动荷载作用下的轨道结构动力响应,提出了一种基于传递矩阵法的轨道建模和求解方法。该方法利用轨道结构的周期性特征,首先将其周期性重复部分划分为不同元胞单元,并建立各类元胞的动力方程;而后根据相邻元胞单元间的位移和内力协调关系,推导元胞内部及相邻元胞间的传递关系,进而建立整体轨道结构的状态矢量传递模型;最后结合轨道结构边界条件,采用直接积分法求解各个元胞结构的动力响应。针对有砟和无砟轨道结构,分别提出了不同的元胞划分方案,建立了相应的状态矢量传递模型。并分别以移动荷载通过有砟轨道和无砟轨道为例,采用TMM和有限元直接刚度法计算了轨道动力响应;结果表明,该方法具有较高的计算精度,且显著地降低了轨道结构自由度数目,可有效地用于轨道结构的动力响应分析。
In order to study the dynamic response of tracks induced by moving load,a method of track modeling and solution based on the transfer matrix method was proposed in this paper.Considering the periodic characteristics of the tracks,the repetitive part was first divided into several cell structures,before the dynamic equations of each kind of cells were established.The transfer relationship within cells and between adjacent cells was then derived according to the coordination relationship of displacement and internal forces.The state vector transfer model of the overall track structure was established.Finally,the dynamic response of each cell was solved by using the direct integration method,combined with boundary conditions of the system.Different cell division schemes were proposed for ballast and ballastless tracks respectively,and the corresponding state vector transfer models were established.In the case of moving loads passing through ballast and ballastless tracks,the dynamic response of tracks was calculated by the TMM and direct stiffness method(DSM),respectively.The results show that TMM,with high calculation accuracy and significant reduction of the number of degrees of freedom of the track structure,can be easily used in the dynamic analysis of the tracks.
作者
朱志辉
王盈莹
龚威
张磊
蒋丽忠
ZHU Zhihui;WANG Yingying;GONG Wei;ZHANG Lei;JIANG Lizhong(School of Civil Engineering,Central South University,Changsha 410075,China;National Engineering Laboratory for High Speed Railway Construction,Central South University,Changsha 410075,China)
出处
《铁道学报》
EI
CAS
CSCD
北大核心
2021年第11期105-112,共8页
Journal of the China Railway Society
基金
国家自然科学基金(52078498,51678576)
国家重点研发计划(2017YFB1201204)。
关键词
轨道结构
传递矩阵法
元胞结构
周期结构
移动荷载
动力响应
track structure
dynamic response
periodic structure
moving load
transfer matrix method
cell structure
