With the rapid development of high-speed and urban rail transit, ballastless slab tracks have been widely used in many areas. The work on construction, design, and mechanics of ballastless slab tracks is abundant and achievements have been made. However, a platform for numerical simulation and dynamic analysis of slab track systems subjected to a moving train still needs to be probed into. In the MATLAB®, effective and easily programable methods are presented to guide the construction of the vehicle-slab track interaction system and the realization of long length computation in this present study. Based on previous studies, the formulation of slab track dynamics in the framework of finite element theory is founded with simplicities, and then the wheel-rail coupling matrices totally derived from the nonlinear wheel-rail normal contact/tangential creep forces using the energy variation method are presented. Following the dynamics modeling construction, an improved method for long or infinite length computation is proposed. With an implementation of this method, the effect of the spatial variability of track properties on vehicle-track system dynamic performance can be evaluated conveniently. Using this numerical simulation platform, extensive studies have been conducted to model and analyze the influence of spatial variability of filling layer support stiffness, the track slab finite element type and support type of steel spring for floating-slab tracks, etc.

随着高速和城市轨道交通的迅猛发展，无平板轨道已广泛应用于许多地区。无ball板式轨道的建设，设计和力学工作十分丰富，并取得了成就。但是，仍然需要探索一个平台，用于对运行中的列车的平板轨道系统进行数值模拟和动态分析。在MATLAB®中，提出了有效且易于编程的方法，以指导车板轨道相互作用系统的构建以及本研究中的长距离计算的实现。在先前研究的基础上，简单地建立了在有限元理论框架内的平板轨道动力学公式，然后提出了利用能量变化法从非线性的轮轨法向接触/切向蠕变力中完全导出的轮轨耦合矩阵。在动力学建模的基础上，提出了一种改进的长或无限长计算方法。通过此方法的实施，可以方便地评估轨道属性的空间变异性对车辆-轨道系统动态性能的影响。使用此数值模拟平台，已进行了广泛的研究，以建模和分析填充层支撑刚度，轨道平板有限元类型和浮板轨道钢弹簧的支撑类型等空间变异性的影响。提出了一种改进的长或无限长计算方法。通过此方法的实施，可以方便地评估轨道属性的空间变异性对车辆-轨道系统动态性能的影响。使用此数值模拟平台，已进行了广泛的研究，以建模和分析填充层支撑刚度，轨道平板有限元类型和浮板轨道钢弹簧的支撑类型等空间变异性的影响。提出了一种改进的长或无限长计算方法。通过此方法的实施，可以方便地评估轨道属性的空间变异性对车辆-轨道系统动态性能的影响。使用此数值模拟平台，已进行了广泛的研究，以建模和分析填充层支撑刚度，轨道平板有限元类型和浮板轨道钢弹簧的支撑类型等空间变异性的影响。