车辆参数随机的车桥竖向随机振动分析

发布时间：2018-02-28 15:07

本文关键词： 车桥耦合模型概率密度演化方法列车随机参数数论选点法 Voronoi区域　出处：《铁道学报》2015年01期 　论文类型：期刊论文

【摘要】：车辆参数的随机性对车桥耦合随机振动的影响不可忽略。基于车-桥竖向耦合模型,考虑车辆荷载及一系、二系竖向弹簧刚度与弹簧阻尼的随机性,采用数论选点法对多维随机变量选取离散代表点,并基于正态分布利用Voronoi区域对代表点集进行剖分赋得初始概率;建立概率密度演化随机动力方程,基于MATLAB编制车桥耦合随机振动分析程序;采用newmark-β积分法及带TVD格式的双边差分法计算车桥振动响应均值、标准差及时变概率密度演化分布。结果表明:与随机模拟法相比,概率密度演化法分析车桥随机振动精度更高,计算效率提高1~2个数量级;车辆载重随机荷载是车桥竖向耦合随机响应的主因之一;不可忽略二系竖向弹簧随机刚度及随机阻尼对列车竖向振动的影响;桥梁挠度均值整体随车速先增大后减小,其变异系数受车速的影响。
[Abstract]:The influence of the randomness of vehicle parameters on the coupled random vibration of vehicle and bridge can not be ignored. Based on the vertical coupling model of vehicle-bridge, the randomness of the stiffness and damping of the vertical spring and the spring damping of the first and second systems are considered. The discrete representative points for multidimensional random variables are selected by the method of selecting points by number theory, and the initial probability is assigned by dividing the representative points set with Voronoi region based on normal distribution, and the stochastic dynamic equation of probability density evolution is established. Based on MATLAB, a vehicle-bridge coupling random vibration analysis program is developed, the Newmark- 尾 integral method and the two-sided difference method with TVD scheme are used to calculate the mean vibration response of the bridge and the standard deviation changes the probability density evolution distribution in time. The results show that compared with the stochastic simulation method, The probabilistic density evolution method is more accurate in the analysis of vehicle-bridge random vibration, and the computational efficiency is improved by 1-2 orders of magnitude, and the random load of vehicle is one of the main causes of the vertical coupling random response of vehicle and bridge. The influence of random stiffness and damping of the second system vertical spring on the vertical vibration of the train should not be ignored, and the average deflection of the bridge increases first and then decreases with the speed, and its coefficient of variation is affected by the speed of the train.
【作者单位】：中南大学土木工程学院;中南大学高速铁路建造技术国家工程实验室;
【基金】：国家高技术研究发展计划(863计划)(2009AA11Z101) 国家自然科学基金(51278496) 铁道部科技开发计划(2012G013-B)
【分类号】：U441.3;U211.3

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