固定谐振荷载作用下曲线轨道动力响应特性研究

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (20) : 233-239.

论文

杜林林1，刘维宁1，刘卫丰1，马龙祥2

作者信息 +

STUDY ON CURVED TRACK DYNAMIC RESPONSE UNDER A FIXED HARMONIC LOAD

Du Lin-lin1, Liu Wei-ning1, Liu Wei-feng1, Ma Long-xiang2

Author information +

文章历史 +

摘要

将曲线轨道视为周期性离散支撑结构，根据周期性结构的振动特性，通过引入移动荷载作用下曲线轨道梁的数学模态以及广义波数，得出曲线轨道梁频域响应的级数表达，进而求解固定谐振荷载作用下曲线轨道梁平面外弯扭耦合振动的响应特性。通过计算不同频率固定谐振荷载作用下曲线轨梁的动力响应，可以求得曲线轨梁垂向位移频响特性。对单层离散点支撑轨道模型进行计算分析可知：曲线轨道梁一阶自振频率受扣件支点垂向支撑刚度、垂向支撑阻尼系数、扣件支点间距变化影响较大，扣件支点垂向支撑刚度增加时轨梁一阶自振频率提高，垂向支撑阻尼系数增加时轨梁一阶自振频率略有减少，扣件支点间距减小时轨梁一阶自振频率提高；扣件支点间距对曲线轨梁频响特性具有显著的影响，跨中处一阶pin-pin共振峰幅值及支点处反共振峰幅值随支点间距的增加而变大；曲线半径对地铁轨道轨梁垂向位移频响特性几乎没有影响。

Abstract

Modelling the dynamic behavior of a curved railway track subjected to fixed harmonic loads is important to understand its dynamic characteristics. The discretely supported curved Euler Beam is used to simulate dynamic response of curved track based on periodic structure. Mathematical modes of track and generalized wavenumber are introduced, and dynamic response of bending and torsion of curved track in frequency domain is expressed by series superposition of the mathematical modes. Dynamic response of curved track subjected to a fixed harmonic load is obtained, and some conclusions are obtained. The natural vibration frequency of curved beam is greatly affected by vertical stiffness, vertical damping coefficient and spacing of fasteners. The first-order natural frequency of track increased by increasing the vertical stiffness of fastener, but decreased slightly by increasing the vertical damping of fastener. The first-order natural frequency of track increasing as the fastener spacing is decreased. Fastener spacing has a significant influence on response of curved track. The bigger the fastener spacing is, the greater the amplitude of first order pin-pin resonance in mid-span and the bigger the amplitude of first order pin-pin anti-resonance in fastener support is. Radius has little effect on vertical displacement frequency response of curved track in metro.

导出引用

杜林林1，刘维宁1，刘卫丰1，马龙祥2. 固定谐振荷载作用下曲线轨道动力响应特性研究[J]. 振动与冲击, 2017, 36(20): 233-239

Du Lin-lin1, Liu Wei-ning1, Liu Wei-feng1, Ma Long-xiang2. STUDY ON CURVED TRACK DYNAMIC RESPONSE UNDER A FIXED HARMONIC LOAD[J]. Journal of Vibration and Shock, 2017, 36(20): 233-239

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