Explicit time-domain analysis of wave propagation in unbounded domains using the scaled boundary finite element method

IF 4.2 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2024-09-03 DOI:10.1016/j.enganabound.2024.105891
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Abstract

This study proposes an explicit time-integration scheme for the scaled boundary finite element method applied to unbounded domains, leveraging the acceleration unit-impulse response formulation and a block-wise mass lumping strategy to enhance computational efficiency. Additionally, adopting an extrapolation scheme in the calculation of the linearly varying acceleration response and exploiting the asymptotically linear behavior by truncating the convolution integral leads to a robust and efficient explicit time-integration scheme. The proposed methodology is validated through numerical examples, demonstrating its potential for large-scale wave propagation problems in unbounded and heterogeneous media.

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使用缩放边界有限元法对波在无界域中的传播进行显式时域分析
本研究为应用于无界域的比例边界有限元法提出了一种显式时间积分方案,利用加速度单位脉冲响应公式和分块质量叠加策略来提高计算效率。此外,在计算线性变化的加速度响应时采用外推法,并通过截断卷积积分来利用渐近线性行为,从而获得了稳健高效的显式时间积分方案。所提出的方法通过数值示例进行了验证,证明了其在无边界和异质介质中大规模波传播问题上的潜力。
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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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