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A COMPARISON OF TIMOSHENKO AND EULER BEAM MODELS FOR TRACK STRUCTURE VIBRATION

机译:轨道结构振动的TIMOSHENKO模型与EULER梁模型的比较

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摘要

The continuous elastic Timoshenko and Euler beam models on Winkler foundation are used widely to analyze track vibration in railway engineering. The article is devoted to compare the difference between vibration responses of track corresponding to the two models, so different model can be chosen appropriately in the actual engineering. The single layer continuous elastic Timoshenko and Euler beam models are established and vibration responses of track structure are obtained by Fourier Transform technique. The vibration displacements of track structure in time domain at different frequencies based on the two beam models are achieved and compared in the examples. The results show that vibration responses of track structure computed by the two beam models are almost the same at low frequencies, ranging from 0 Hz to 650 Hz, and definite different at higher frequencies. The Timoshenko beam takes into account shear deformation and rotatory inertia, so it can simulate much more reasonably high frequency characters of track vibration.
机译:Winkler基础上的连续弹性Timoshenko和Euler梁模型被广泛用于分析铁路工程中的轨道振动。本文致力于比较两种模型对应的轨道振动响应之间的差异,因此在实际工程中可以适当选择不同的模型。建立了单层连续弹性Timoshenko和Euler梁模型,并通过傅里叶变换技术获得了轨道结构的振动响应。在两个梁模型的基础上,获得并比较了轨道结构在不同频率下的时域振动位移。结果表明,两个梁模型计算得到的轨道结构的振动响应在低频范围内几乎相同,范围为0 Hz至650 Hz,在高频范围内则明显不同。季莫申科梁考虑了剪切变形和旋转惯性,因此可以更合理地模拟轨道振动的高频特性。

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