基于2.5维有限元-完全匹配层技术进行隧道振动建模分析
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台湾科技大学 营建工程系,台北

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2.5D Technology and FEM- Perfectly Matched Layer Method for Tunnel Vibration Modeling
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Department of Civil and Construction Engineering,National Taiwan University of Science and Technology

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    摘要:

    为解决隧道受周围区域复杂影响的三维性隧道动力模拟性问题,基于有限单元法,采用2.5D技术和应用完全匹配层(PML)处理由有限单元网格截断的边界,提出了一种针对超长隧道结构动态性能模拟的高效、精确解法。由于结合2.5D技术、有限单元法(FEM)以及完全匹配层(PML)的方法并不常见,推导了2.5D技术和有限单元法(FEM)结合法的方程,并着重说明了其与2.5D技术和完全匹配层(PML)结合法的兼容性。在简要介绍模型之后,通过与常用数值模型(MEF-MEC)和半解析解(PIP)法的结果验证示例以证明模型的准确性。最后,进行了一些参数研究以评估隧道和土体性质对土体振动的影响。研究结果表明,提出的2.5D MEF-PML方法能够解决有限元法不能处理无限域的缺点,并且相较常规 PML法精度显著高,在隧道动力分析时能够准确考虑隧道周围区域因素的影响。

    Abstract:

    In order to solve the difficult and complex three-dimensional dynamic simulation uncertainty problem of tunnel surrounding area. Based on the finite element method (FEM), this paper presents an efficient and accurate method for dynamic performance simulation of super long tunnel structure by using 2.5D technique and PML to deal with the boundary truncated by FEM mesh. Since the combination of 2.5D technology, finite element method (FEM) and perfectly matched layer (PML) is not common, we derive the equations of the combination of 2.5D technology and FEM, and emphasize its compatibility with 2.5D technology and perfectly matched layer (PML). After a brief introduction of the model, a series of verification examples are provided to prove the accuracy of the model. Finally, some parameter studies are carried out to evaluate the influence of tunnel and soil properties on soil vibration. The results show that the proposed 2.5D mef-pml method can solve the problem that the finite element method can not deal with the infinite domain, and has high accuracy, which makes it possible to accurately consider the influence of the factors around the tunnel in the dynamic analysis of the tunnel..

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  • 收稿日期:2021-01-21
  • 最后修改日期:2021-08-11
  • 录用日期:2021-08-30
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