轨道随机不平顺影响下高速铁路地基动力分析模型  

A dynamic model of ground for high-speed railway with track random irregularities

作　　者：冯青松[1] 雷晓燕[1] 练松良[2] 

机构地区：[1]华东交通大学铁路环境振动与噪声教育部工程研究中心,江西南昌330013 [2]同济大学道路与交通工程教育部重点实验室,上海201804

出　　处：《振动工程学报》2013年第6期927-934,共8页Journal of Vibration Engineering

基　　金：国际科技合作与交流专项(2010DFA82340);国家自然科学基金资助项目(51008123;51368020;U1134107);江西省青年科学家培养对象(20112BCB23015)

摘　　要：考虑轨道随机不平顺影响,建立了移动车辆-有砟轨道-路基-层状地基垂向耦合振动解析模型。模型中,将虚拟激励法和解析的波数-频率域法有效结合起来,直接由轨道不平顺的功率谱密度得到准确的动态轮轨力功率谱。将移动列车轴荷载和轨道随机不平顺引起的动态轮轨力考虑为傅里叶级数表示的谐波叠加形式,根据线性系统叠加原理,求得地基动力响应功率谱估计值与时程结果。利用在波数域内直接计算位移频谱、划分合适谐波区间等技术,显著提高了随机振动响应功率谱和时程的计算效率。对比分析了地基表面测点垂向振动加速度时程与频谱的理论计算与现场实测结果,证明了模型的合理性。An analytical model for vertical vibration of the moving vehicle-ballasted track-subgrade layered ground coupling sys tern is established with taking into consideration of track random irregularities. The pseudo-excitation method and the analytical method of wavenumber-frequency domain are effectively combined to derive the accurate dynamic wheel-rail force power spec- trum by directly employing the power spectral density of track irregularity. Based on supposing that both the moving axle loads and the dynamic wheel-rail forces induced by track random irregularities can be expressed in the form of Fourier series, the power spectral density estimates and time histories of ground vibration are obtained according to the superposition principle of linear systems. The computation efficiency of power spectrum and time history of random vibration is remarkbly improved by using such techniques as directly computing the displacement spectrum in wavenumber domain and properly dividing the adap- tive interval of harmonic waves. The proposed analytical model is validated by conducting camparison between the theoretical calculation results and the experimental results of the time histories and spectra of vertical acceleration of ground surface points.

关 键 词：铁路路基 轨道随机不平顺 地基振动 虚拟激励法 谐波叠加 

分 类 号：U211.3[交通运输工程—道路与铁道工程]