分析瞬态 SH 波散射问题的 DR-BEM 方法:比较研究

IF 4.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2024-09-17 DOI:10.1016/j.enganabound.2024.105962
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引用次数: 0

摘要

本文针对 SH 波散射问题的瞬态分析提出了一种新方法,即双互惠边界元法(DR-BEM)。利用静态基本解和估计函数的概念,在边界积分方程(BIE)中应用了域惯性积分的效应。然后,通过添加自由场位移以满足表面上的无应力边界条件,得到了边界积分方程的可解形式。通过在时域计算机代码中实现该计算公式,并通过求解嵌入式圆形空腔、半圆形山谷和受斜向传播入射 SH 波影响的双驼峰山等不同实例,评估了该方法的精度和效率。在这方面,与作者之前提出的半空间时域 BEM(TD-BEM)进行了全面的比较研究,以观察结果的准确性和分析时间。结果表明,虽然与半空间 TD-BEM 相比,本文提出的方法具有更复杂的模型,但由于使用了简单的公式,分析时间大大缩短。这种方法可用于岩土地震工程领域的半空间模型编制,以替代其他耗时的方法。
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A DR-BEM approach for analyzing the transient SH-wave scattering problems: A comparative study

In this paper, a new approach was presented for the transient analysis of SH-wave scattering problems by the dual reciprocity boundary element method (DR-BEM). In the use of static fundamental solutions and the concept of estimator functions, the effect of domain inertia integrals was applied in the boundary integral equations (BIEs). Then, the solvable form of the BIE was obtained by adding the free-field displacement to satisfy the stress-free boundary conditions on the surface. By implementing the formulation in a time-domain computer code, the accuracy and efficiency of the approach were evaluated by solving different examples including the embedded circular cavity, the semi-circular valley, and the twin hump hill subjected to obliquely propagating incident SH-wave. In this regard, a comprehensive comparative study was carried out with the half-space time-domain BEM (TD-BEM), previously presented by the corresponding author, to observe the accuracy of the results as well as the analysis time. The results showed that although the presented method had more complex models compared to the half-space TD-BEM, the analysis time was significantly reduced with the use of a simple formulation. This approach can be applied to prepare half-space models in the field of geotechnical earthquake engineering in substituting other time-consuming methods.

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来源期刊
Engineering Analysis with Boundary Elements
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.
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