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长型浮置板轨道隔振系统理论分析(Ⅰ)——弥散曲线及临界速度

Theoretical analysis of long floating slab track(part Ⅰ)——dispersion graph and critical velocity

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【作者】 刘学文吴川谢军黄醒春

【Author】 LIU Xue-wen1,WU Chuan2,XIE Jun3,HUANG Xing-chun*2(1.College of Fundamental Studies,Shanghai University of Engineering Science,Shanghai 201620,China;2.School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiaotong University,Shanghai 200240,China;3.Department of Electronics Information Engineering,Nanchang University,Nanchang 330031,China)

【机构】 上海工程技术大学基础教学学院上海交通大学船舶与海洋建筑工程学院南昌大学电子信息工程系

【摘要】 浮置板轨道结构是近年来减振降噪效果最好的轨道结构形式。将整个轨道结构看作一个隔振黑匣子,钢轨与浮置板分别用欧拉梁来模拟,推导动力方程,用傅氏变换将其转换到频率-波数域中,求得系统的弥散方程,并给出轨道结构临界速度计算方法。定义了反映浮置板轨道结构参数的质量比例ξm、刚度比例kξ及阻尼比例ξc等三个系数。在给定实际中板上结构物理参数的条件下,深入讨论了三个比例系数对于系统弥散曲线以及临界速度的影响,进而为浮置板轨道共振频率及临界速度的初步设计提供建议。

【Abstract】 Floating slab track(FST) is the best structure form for isolating vibration caused by moving train,in this paper,the system was considered as an opaque box which was used to isolate vibration induced by passing vehicles,in which two Euler-Bernoulli beams were used to model rail and slab respectively.And then the vibration equations were derived and transformed to wave-frequency domain by Fourier transform,and the dispersion equation and critical velocity were obtained.Three new parameters relating to the box named mass ratio ξm,stiffness ratio ξk and damping ratio ξc were defined.With the given parameters of rail,effect of these parameters on the dispersion graph and critical velocity were investigated.The results could be used to guide the design of FST,especially for the resonance frequency and critical velocity.

【基金】 上海市科委重点科技攻关(03DZ12017)资助项目
  • 【文献出处】 计算力学学报 ,Chinese Journal of Computational Mechanics , 编辑部邮箱 ,2009年06期
  • 【分类号】U213.242
  • 【被引频次】19
  • 【下载频次】249
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