层状饱和地基-轨道-列车耦合系统轨道不平顺引起的振动分析

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振动与冲击 ›› 2015, Vol. 34 ›› Issue (15) : 88-97.

论文

巴振宁1，2，金威1，梁建文1,2

作者信息 +

Vibration analysis of layered saturated ground-track-vehicle coupling system induced by track irregularities

Ba zhenning1,2, Jin wei1, Liang Jianwen1,2

Author information +

文章历史 +

摘要

采用半解析方法研究了层状饱和地基-轨道-列车耦合系统的动力响应问题。层状饱和地基由任意水平饱和土层和下卧饱和半空间组成，轨道采用以无限长欧拉梁模拟的钢轨、连续质量块模拟的轨枕和Cosserat模型模拟的道砟组成的三层系统，列车模拟为弹簧和阻尼元件连接的多刚体系统。振动输入由钢轨的竖向不平顺提供。通过地基表面轨道中心处竖向位移与道砟位移相等实现层状饱和地基和轨道的耦合，通过在车轮与钢轨间引入Hertizian接触弹簧来实现轨道与列车的耦合，首先求得频率-波数域内解答，然后通过Fourier逆变换求得时间-空间域内振动响应。文中验证了方法的正确性，并进行了数值计算分析，研究表明钢轨不平顺引起的列车动荷载振动频率较低时，随着列车运行速度的增大地基表面位移幅值逐渐增大；振动频率较高时，列车运行速度对位移幅值峰值的影响不明显，但列车驶过后地基的振动明显增大，振动时间变长。

Abstract

The dynamic responses of layered saturated ground-track-train coupling system are studied by the semi-analytical method. The layered saturated ground is composed by arbitrary horizontal saturated layers and the underlying saturated half-space. The track is composed by the rail, the sleepers and the blast. The rail is regarded as an infinitely long Euler beam; the sleepers are represented by a continuous mass and the ballast is accounted for by introducing the Cosserat model. The vehicle is described as a multi-rigid-body system connected by the spring and damping elements. The dynamic loads are assumed to be generated from the rail surface irregularities. The dynamic responses are first obtained in the frequency-wave number domain and then are transformed into the time-space domain by inverse Fourier transformation. Finally, the dynamic responses in the time-space domain are obtained by using inverse Fourier transform. The exactness of the method is verified and numerical calculation and analysis are performed. The study shows that, for low vibration frequencies induced by track irregularities, the ground surface displacement amplitudes increase gradually with the increase of the velocity, while for high vibration frequencies, the maximum displacement amplitudes seems insensitive to the velocity, but the amplitudes vibrate more seriously and the durations of the vibration become longer.

导出引用

巴振宁1，2，金威1，梁建文1,2. 层状饱和地基-轨道-列车耦合系统轨道不平顺引起的振动分析[J]. 振动与冲击, 2015, 34(15): 88-97

Ba zhenning1,2, Jin wei1, Liang Jianwen1,2. Vibration analysis of layered saturated ground-track-vehicle coupling system induced by track irregularities[J]. Journal of Vibration and Shock, 2015, 34(15): 88-97

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