A framework combining pseudo-excitation method and two-and-a-half-dimensional finite element method for random ground vibrations induced by high-speed trains
A framework combining pseudo-excitation method and two-and-a-half-dimensional finite element method for random ground vibrations induced by high-speed trains
复制标题
拟激励法与二维半维有限元法相结合的高速列车随机地面振动研究框架
DOI：
10.1177/1369433220934556
复制
发表时间：
2020-06
影响因子：
2.6
通讯作者：
Han Yan
中科院分区：
文献类型：
--
作者：
Wang Lidong;Zhu Zhihui;Costa Pedro Alves;Bai Yu;Yu Zhiwu;Han Yan
本文将虚拟激励法与二维半有限元法相结合，建立了一个预测高速列车引起的非平稳随机地面振动的框架。这种发展包括两个步骤。首先，通过虚拟激励法和车辆-板-轨道-地面理论模型相结合，精确获得轮轨动力的功率谱密度。其次，将虚拟激励法与二维半有限元法相结合，有效地求解了非平稳随机地面振动问题，其中虚拟载荷由前一步得到的轮轨动力功率谱密度构成。在算例中，通过与已有的列车-轨道-土壤系统三维快速随机分析方法的比较，验证了该方法的精度和效率。结果表明，该方法能较准确地预测列车引起的随机地面振动，与快速三维随机方法相比，计算效率提高了3 ~ 5倍。
A framework is developed in this article to predict the nonstationary random ground vibrations induced by high-speed trains, by combining the pseudo-excitation method with the two-and-a-half-dimensional finite element method. This development contains two steps. First, the power spectral density of the wheel–rail dynamic force is accurately obtained through the combination of the pseudo-excitation method and a vehicle–slab-track–ground theoretical model. Second, the nonstationary random ground vibrations are efficiently solved by combining the pseudo-excitation method and the two-and-a-half-dimensional finite element method, where the power spectral density of the wheel–rail dynamic force obtained in the former step is used to constitute the pseudo-loads. In the numerical examples, the accuracy and efficiency of the proposed approach are validated through the comparison to the fast three-dimensional random method for train–track–soil system developed previously. The results show that the proposed approach can predict the train-induced random ground vibrations with sufficient accuracy and has three-to-five times increase in efficiency in comparison to the fast three-dimensional random method.
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