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列车荷载作用下周围物体的动力响应解

Dynamic response of surrounding object due to running train load

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【作者】 张昀青刘维宁张振刚

【Author】 ZHANG Yunqing1,2,LIU Weining1,ZHANG Zhengang1(1School of Civil Engineering and Architecture, Northern Jiaotong University, Beijing 100044, China;2School of Civil Engineering, Shijiazhuang Railway Institute, Shijiazhuang 050043, China)

【机构】 北方交通大学土木建筑工程学院北方交通大学土木建筑工程学院 北京 100044石家庄铁道学院土木工程分院河北石家庄 050043北京 100044北京 100044

【摘要】 以Duhamel积分为基础,首先应用动力互等定理,得到了移动荷载作用下,半无限大弹性连续介质空间上任意点的动力响应的广义Duhamel积分表达式;然后将列车荷载简化考虑为一系列具有一定间距的集中荷载,采用Floquet变换、Fourier变换等方法,得到了一个集中移动荷载作用下任意拾振点ξ的动力响应在频域和频率 波数域内的表达式,进而由叠加原理得到列车荷载作用下的动力响应解;最后,通过算例说明该算法的适用性。

【Abstract】 Firstly, based on the Duhamel integral and dynamic reciprocity theorem, the generalized Duhamel integral expression is written to a point in the half infinity space under moving load. Secondly, the train load is considered as a series of centralized loads with fixed distance. The dynamic response expression of a point in frequency domain and frequencywavenumber domain are derived out through the Floquet transform and Fourier transform under a moving load, and then the dynamic response of a point is gotten by superposition principle when the train is running on the rail. In the end, the applicability of the method is showed through the calculating example.

【基金】 中国比利时双边合作项目(北交大函字[2002]19号)
  • 【文献出处】 铁道学报 ,Journal of The China Railway Society , 编辑部邮箱 ,2003年04期
  • 【分类号】U260
  • 【被引频次】90
  • 【下载频次】470
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