An advance vehicle-slab track-soil dynamic interaction model based on differential quadrature finite element method

IF 4.4 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Applied Mathematical Modelling Pub Date : 2024-10-09 DOI:10.1016/j.apm.2024.115743

Liu Pan , Lei Xu , Bin Yan

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引用次数: 0

Abstract

To solve the problem of large matrix size and low computational efficiency of the finite element model in the vehicle-track-soil model, the differential quadraticity finite element method (DQFEM) with both p-convergence and h-convergence is used to establish the vehicle-track-soil dynamic interaction model, and the multi-scale coupling method and wheel-rail matrix coupling method were used to connect each component of the system. The reliability of the proposed model is validated by comparing the dynamic responses obtained by the model base on the DQFEM and FEM from the perspective of time domain and frequency domain. Moreover, by comparing the characteristic frequency and its convergence characteristics of DQFEM model and FEM model, the accuracy and efficiency of the DQFEM in vehicle-track-soil system simulation is demonstrated. In the case study, the distribution of vehicle-induced vibration in vehicle-rail-soil system is analyzed in both time domain and frequency domain. It is found that the main frequency distribution of far-field vibration is only related to the vibration characteristics of soil. Therefore, the main frequency of soil vibration should be avoided in the design of track structure parameters to reduce the environmental vibration level.

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基于微分正交有限元法的先进车辆-路面-轨道-土壤动态相互作用模型

为解决车-轨-土模型中有限元模型矩阵规模大、计算效率低的问题，采用同时具有 p-收敛性和 h-收敛性的微分二次元有限元法（DQFEM）建立车-轨-土动态相互作用模型，并采用多尺度耦合法和轮轨矩阵耦合法连接系统各组成部分。通过从时域和频域角度比较基于 DQFEM 和 FEM 模型得到的动态响应，验证了所提模型的可靠性。此外，通过比较 DQFEM 模型和 FEM 模型的特征频率及其收敛特性，证明了 DQFEM 在车辆-轨道-土壤系统仿真中的准确性和高效性。在案例研究中，从时域和频域两个方面分析了车辆-轨道-土壤系统中车辆诱发振动的分布。结果发现，远场振动的主要频率分布只与土壤的振动特性有关。因此，在设计轨道结构参数时应避开土壤振动的主频，以降低环境振动水平。

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来源期刊

Applied Mathematical Modelling 数学-工程：综合

CiteScore

9.80

自引率

8.00%

发文量

508

审稿时长

43 days

期刊介绍： Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.