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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
【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 frequencywavenumber 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.
【Key words】 moving train load; railway track; dynamic response; frequency-wavenumber domain;
- 【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