摘要
研究目的:根据板式轨道的受力特点,建立高速列车作用下板式轨道动力反应模型。利用Fourier变换,在频率-波数域内求解振动微分方程,再通过Fourier逆变换,得到列车在匀速和变速情况下轨道、轨道板及底座动位移在时域-空间域内的计算公式。结合算例,分析列车在不同速度、正加速度和负加速度下,轨道、轨道板及底座动位移的变化特性。研究结论:通过对板式轨道动力反映的分析表明:轨道结构存在一个临界速度,列车在匀速运行情况下,沿轨道方向的钢轨、轨道板及底座的动位移随列车轮对作用位置达到最大值;在变速运行情况下,钢轨、轨道板及底座动位移在不同速度与加速度处出现峰值;在减速运行情况下,轨道结构动位移仍在不同速度与负加速度处出现峰值;且在正加速度增加与负加速度减小的情况下,各结构动位移随之减小,反之亦然。
Research purposes: Based upon bearing characteristics of slab track, a dynamic model of slab track for the analysis of track structure vibration induced by high speed train is developed. By means of the Fourier Transform, vibration differential equation is obtained in the frequency and wave -number domain. The calculation formulas for dynamic displacement to track, track slab and concrete base in time and space domains are obtained by using the Inverse Fourier Transform. Combining a calculation example, the variation characteristics of the track, track slab and concrete base are studied under conditions of the different the speed, positive acceleration and negative acceleration of train. Research conclusions : The analysis results of dynamic response on the slab track show that the critical velocities exist in the track structure. The dynamic displacements of the rail, slab and concrete base to track direction become the biggest when train runs at even speed. Meanwhile, peak value of dynamic displacement occurs at different speed and acceleration under variable speed. The peak value of dynamic displace still exists at the different speed and acceleration when the train speed slows down, and the dynamic displacement of each structure will reduce at increasing positive acceleration and reducing negative acceleration and vice versa.
出处
《铁道工程学报》
EI
北大核心
2009年第7期48-53,共6页
Journal of Railway Engineering Society
关键词
板式轨道
动力反应
频域
波数域
变速
slab track
dynamic response
frequency domain
wave - number domain
variable speed
作者简介
付兵先,1979年出生,男,博士研究生。