Simulation of dynamic response of railway subgrade using 2.5D finite element method based on reduced 2D hermite interpolation

WANG Rui; HU Zhi-ping; PENG Jian-bing; WANG Qi-yao

doi:10.16285/j.rsm.2022.0545

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Simulation of dynamic response of railway subgrade using 2.5D finite element method based on reduced 2D hermite interpolation

更新时间：2026-06-25

- Simulation of dynamic response of railway subgrade using 2.5D finite element method based on reduced 2D hermite interpolation
- Vol. 44, Issue 3, Pages: 908-915(2023)
- 作者机构：
  
  1. 长安大学建筑工程学院,陕西,西安,710061
  2. 长安大学地下结构与工程研究所,陕西,西安,710061
  3. 长安大学地质工程与测绘学院,陕西,西安,710061
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2022.0545
  CLC： U213.1
- Online First：24 March 2023，
  
  Published：2023
- 稿件说明：
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WANG Rui, HU Zhi-ping, PENG Jian-bing, et al. Simulation of dynamic response of railway subgrade using 2.5D finite element method based on reduced 2D hermite interpolation[J]. 2023, 44(3): 908-915.
DOI：

WANG Rui, HU Zhi-ping, PENG Jian-bing, et al. Simulation of dynamic response of railway subgrade using 2.5D finite element method based on reduced 2D hermite interpolation[J]. 2023, 44(3): 908-915. DOI： 10.16285/j.rsm.2022.0545.

摘要

2.5D有限元方法在铁路路基动力响应研究领域中的应用渐趋广泛。针对其在求解随机不平顺条件下路基动力响应时计算效率显著下降的问题，构建了基于二维降阶Hermite插值的2.5D有限元路基动力响应快速计算框架。以路基在频率−波数域动力响应的基本特征为依据确定了插值原则，讨论了插值点分布和数量对插值精度的影响。研究表明：采用二维降阶Hermite插值方法可以实现随机不平顺条件下路基动力响应的快速计算。相比插值点非均匀分布，插值点均匀分布可以兼顾幅值和相位的插值精度，适应性更好。此外，该方法的计算效率仅与插值点数量相关，不受随机不平顺谐波数量的影响，在模拟随机不平顺条件下路基动力响应方面具备显著的优势。

Abstract

The application of 2.5D finite element method in the research on railway subgrade dynamic response is becoming more and more widespread. In order to solve the inefficient problem for calculating the dynamic response of subgrade under the random irregularity

a framework for fast calculation of dynamic response of subgrade based on reduced 2D Hermite interpolation is established. The interpolation principle is determined based on the characteristics of the dynamic response of subgrade in the frequency-wavenumber domain. Moreover

the influence of the distribution and number of interpolation points on the interpolation accuracy is discussed. The results indicates that the reduced 2D Hermite interpolation can greatly improve the computational efficiency in the calculation of subgrade dynamic response under the random irregularity. Compared with non-uniform distribution principle of interpolation points

uniform distribution principle can take into account both amplitude and phase interpolation accuracies and therefore is more suitable for 2.5D finite element method. Additionally

the computational efficiency of the present method is only related to the number of interpolation points

and is not affected by the number of random irregularity harmonics. It has obvious advantages in simulating the dynamic response of railway subgrade with random irregularity of track.

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