基于多边界问题时域边界元法的地铁运行环境振动仿真

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-04-07 DOI:10.1016/j.enganabound.2025.106249

Hongjun Li , Jinqi Yang , Jiancheng Liu , Yan Liu , Xiaoshuai Yin , Weidong Lei

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引用次数: 0

摘要

地铁运行引起的环境振动问题可以简化为半无限域多边界波问题。随着地铁网络的快速发展，振动问题对周边生活和工作环境的影响越来越大。因此，对高精度环境振动分析的需求越来越迫切。有限元法在处理半无限域问题时存在数值振荡、人工边界依赖和计算效率低等瓶颈。提出了一种多边界时域边界元法（MTD-BEM）。将原点P和场点Q分别置于同一边界和不同边界，影响系数在奇异性方面呈现出不同的特征。因此，根据影响系数的特点对其进行分类求解。MTD-BEM具有精度高、资源消耗少的优点，大大降低了网格划分要求和计算误差。通过两个算例验证了MTD-BEM。mtd -边界元法计算结果与有限元法计算结果吻合较好，具有较好的稳定性。最后，将该方法应用于环境振动仿真。成功地模拟了隧道单边加载、顺序加载和同步加载的位移和谱。

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Environmental vibration simulation of metro operation based on multi-boundary problem time domain boundary element method

The environmental vibration problem induced by metro operation can be simplified as a semi-infinite domain multi-boundary wave problem. With the rapid development of metro networks, the vibration problems have an increasingly significant impact on adjacent living and working environments. Therefore, the demand for high-precision environmental vibration analysis is becoming more and more urgent. Finite element method faces bottlenecks such as numerical oscillations, artificial boundary dependence and low computational efficiency in dealing with semi-infinite domain problems. In this paper, a multi-boundary time domain boundary element method (MTD-BEM) is proposed. By placing the original point P and field point Q in same and different boundaries, the influence coefficients present different characteristics in terms of singularity. Therefore, the influence coefficients are classified and solved according to their characteristics. MTD-BEM has the advantages of high accuracy and low resource consumption, which significantly reduces the mesh division requirements and computational errors. MTD-BEM is validated by two examples. The results of MTD-BEM are in high agreement with those of finite element method (FEM) and have good stability. Finally, the method is used to simulate the environmental vibration. The displacement and spectrum of one-sided tunnel loading, sequential loading and simultaneous loading are successfully simulated.

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.