The high-speed maglev vehicle-guideway coupled system (MVGCS) is a complex system, whose random vibration characteristics have not been well studied due to a limited number of examples. To address this issue, a new efficient approach is proposed for the random vibration analysis of the MVGCS, which combines the probability density evolution method and multi-time step method with multiple random loads considered. The random model established for 10-degree-of-freedom maglev vehicles and guideway is time-dependent, considering two different supporting conditions. The Monte Carlo method is used to assess the accuracy and efficiency of the proposed approximate approach, and the random model is verified through comparison with available results. The stochastic dynamic responses of the vehicles, guideway, and electromagnetic levitation forces, including the mean values and standard deviations, are determined in a case study. The results show that the proposed method is feasible for the dynamic analysis of maglev systems with a reasonably good efficiency in computation. Furthermore, critical parametric analyses involving vehicle speed, irregularity, and cut-off wavelength are performed with the results discussed.

中文翻译：

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高速磁浮车辆导轨系统随机振动分析的一种有效方法

高速磁悬浮车辆-导轨耦合系统（MVGCS）是一个复杂的系统，由于实例有限，其随机振动特性尚未得到很好的研究。针对这一问题，提出了一种新的有效的MVGCS随机振动分析方法，该方法结合了概率密度演化法和多时间步长法，并考虑了多个随机载荷。考虑到两种不同的支撑条件，为10自由度磁浮车辆和导轨建立的随机模型是时间相关的。蒙特卡罗方法用于评估所提出的近似方法的准确性和效率，并通过与现有结果的比较来验证随机模型。车辆、导轨和电磁悬浮力的随机动态响应，包括平均值和标准偏差，在案例研究中确定。结果表明，该方法对于磁悬浮系统的动态分析是可行的，具有相当好的计算效率。此外，还对讨论的结果进行了涉及车速、不规则性和截止波长的关键参数分析。