| 移动荷载作用下周期支承Timoshenko梁动力响应 |
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| 引用本文： | 刘维宁,张昀青,孙晓静.移动荷载作用下周期支承Timoshenko梁动力响应[J].中国铁道科学,2006,27(1):38-42. |
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| 作者姓名： | 刘维宁 张昀青 孙晓静 |
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| 作者单位： | 1. 北京交通大学,土建学院,北京,100044
2. 石家庄铁道学院,土木分院,河北,石家庄,050043 |
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| 摘 要： | 针对移动荷载作用下周期支承Timoshenko梁的具体结构,将其任一梁单元分解为一个支撑单元和两个非支撑单元。在轨道结构动力响应的周期解析解的基础上,采用传递矩阵法,应用Laplace变换等理论,推导周期支承Timoshenko梁的传递矩阵。将激振点的状态变量乘以一系列梁单元的传递矩阵,推得拾振点的传递函数,进而给出移动荷载作用下周期支承Timoshenko梁上任一点的动力响应解。
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| 关 键 词： | 轨道结构 周期支承 Timoshenko梁 传递函数 动力响应 |
| 文章编号： | 1001-4632（2006）01-0038-05 |
| 收稿时间： | 2004-11-07 |
| 修稿时间： | 2004年11月7日 |
Dynamic Response of Periodic Supported Timoshenko Beam under Moving Load |
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| LIU Wei-ning,ZHANG Yun-qing,SUN Xiao-jing.Dynamic Response of Periodic Supported Timoshenko Beam under Moving Load[J].China Railway Science,2006,27(1):38-42. |
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| Authors: | LIU Wei-ning ZHANG Yun-qing SUN Xiao-jing |
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| Institution: | 1. School of Civil Engineering and Architecture, Beijing Jiaotong University, Beijing 100044, China; 2. College of Civil Engineering, Shijiazhuang Railway Institute, Shijiazhuang Hebei 050043, China |
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| Abstract: | To the actual structure of periodic supported Timoshenko beam under moving load, any single beam cell is divided into one supporting cell and two non-supporting cells.Based on the periodic analytical solution to the dynamic response of railway structure,by adopting state variable method,transfer matrix method,Laplace transformation and so on,firstly,the transfer matrix of a beam cell is wrote.Secondly,the transfer function of receiver point is gotten by the vibration point multiplied by the transfer matrix of a series beam cell.And finally the dynamic solution of any point on periodic supported Timoshenko beam under moving load is given out. |
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| Keywords: | Track structure Periodic supporting Timoshenko beam Transfer function Dynamic response |
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