摘要
提出了一种用于建立轨道结构三维有限元模型的广义单元,对定点和动点2种激励方式,采用虚拟激励法分别推导了高低、方向和水平3类轨道不平顺作用下三维车辆—轨道耦合系统动力响应的功率谱和标准差。在求解动点激励方式下耦合系统的响应时,运用Newmark方法的差分技巧将车辆的自由度凝聚到轨道上,并合理利用系数矩阵的稀疏性和周期性避免了时变系统等效刚度矩阵的重复生成。数值算例中,将文中方法和Monte-Carlo方法的计算结果进行了对比,验证了文章方法的正确性,并确定了2种激励方式的适用范围。
A three dimensional（3D） generalized element is proposed to establish the dynamic equation of a railway track system.Random vibration analysis for both the fixed-vehicle model and the moving-vehicle model of coupled vehicle-track systems subject to three types of track irregularities,i.e.elevation irregularity,alignment irregularity and superelevation irregularity,are performed based on the pseudo-excitation method.For the moving-vehicle model,the vehicle degrees of freedom are condensed to the track by using Newmark scheme,and repeated computations of the equivalent stiffness matrix are avoided by using the sparsity and periodicity of the coefficient matrices.The proposed method is justified by comparison with the results of Monte-Carlo simulation and the fixed-vehicle model.
出处
《武汉理工大学学报》
CAS
CSCD
北大核心
2010年第9期331-334,共4页
Journal of Wuhan University of Technology
基金
国家自然科学基金(50608012,10502011)
973计划项目(2010CB832700)
关键词
三维车辆-轨道耦合
随机振动
虚拟激励法
自由度凝聚
3D coupled vehicle-track system
random vibration
pseudo-excitation method
Newmark scheme
