车辆-轨道系统垂向随机振动的辛方法分析  

RANDOM VIBRATION ANALYSIS OF VEHICLE-TRACK COUPLING SYSTEMS USING SYMPLECTIC METHOD

作　　者：吕峰[1] 林家浩[1] 张亚辉[1] 

机构地区：[1]大连理工大学工程力学系,工业装备结构分析国家重点实验室,大连116023

出　　处：《力学学报》2008年第3期381-387,共7页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金(10472023，10502011)~~

摘　　要：将轨道视为无限长的周期结构,建立车辆轨道垂向耦合模型.使用虚拟激励法将随机的轨道不平顺激励转化为确定性的简谐激励,再用辛数学方法求解轨道结构的频率响应特性和耦合系统的响应功率谱.整个计算模型只有26个自由度,求解过程快速而精确.数值算例中,将该方法与常规有限元方法进行了比较,验证了方法的高效性和正确性,讨论了车辆速度对系统随机响应的影响.The vertical coupling model of vehicle-track systems is set up in the case of the track as an infinite periodic structure. The random irregularity excitation of the rail is transformed into a deterministic harmonic excitation with the pseudo excitation method, and the frequency response of the track and the power spectrum density （PSD） of the system response are analyzed using the symplectic algorithm. In addition, there are only 26 DOFs in the computational model to have an efficient and accurate solution. The model is verified with the conventional FEM, and the influence of the vehicle velocity on the system vibration is investigated.

关 键 词：车辆 轨道 随机振动 虚拟激励法 辛数学方法 

分 类 号：U211.4[交通运输工程—道路与铁道工程]