基于车轨耦合的弹性地基梁板模型及算法

板式无砟轨道具有变形小、稳定性好的优点,在我国铁路客运专线上应用广泛。国内外学者在建立车辆、轨道以及车辆-轨道耦合系统模型及算法方面已做了许多工作。然而,已有的模型与实际情况尚有差异,有待进一步完善。根据板式无砟轨道的结构特点,采用板单元模拟轨下结构,建立了车辆-板式轨道耦合系统动力分析模型及算法,推导了板式轨道模型单元的刚度、质量以及阻尼矩阵;考虑轮轨非线性接触行为,引入交叉迭代法求解车辆-轨道耦合系统动力学方程;仿真分析了线路随机不平顺工况下,CRH3型动车通过CRTSⅡ型板式无砟轨道时,车辆和轨道结构的动力响应。该模型与算法比已有模型更接近实际,计算结果更准确可靠。

Beam-Plate Model and Algorithm Based on the Elastic Foundation of Vehicle and Track Coupling

With the advantages of good stability and little deformation,the ballastless slab track is widely used in passenger dedicated lines.A lot of work have been done in the establishment of vehicle,track and vehicle-track coupling system model and algorithm by scholars worldwide,however,the existing model can not fully simulate the actual condition,further improvement is needed.In this paper,the model and algorithm for dynamic analysis of the vehicle and track coupling system is established by adopting the element plate simulating structures under the rail.stiffness according to the characters of ballastless slab track.Then,the mass and damping matrix of two kind element plates are deduced by means of finite element method.In considering the nonlinear wheel-rail contact behavior,cross iteration method is used to solve the vehicle-track coupling system dynamics equation.In random irregular conditions,the dynamic response of vehicle and track is simulated when CRH2 train passes through the CRTS Ⅱ ballastless slab track.The model is proved closer to the real condition,and the calculation result is more accurate and reliable.