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首页> 外文期刊>International journal of structural stability and dynamics >Dynamic Response of Elastic Half-Space with Cavity Subjected to P and SV Waves by Finite/Infinite Element Approach
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Dynamic Response of Elastic Half-Space with Cavity Subjected to P and SV Waves by Finite/Infinite Element Approach

机译：P和SV波作用下的半腔弹性半空间动力响应的有限/无限元方法

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摘要

The problem of a half-space with cavity under vertically incident waves was solved by many researchers using different approaches. However, substantially different solutions were obtained, partially due to the difference in the method of formulation, and partially due to the lack of complete identical data for use in analysis. In this paper, the finite/infinite element approach has been adopted to study the two-dimensional response of an elastic half-space containing a buried, unlined, in finitely long cylindrical of circular shape subjected to harmonic P and SV waves. First, the analysis procedure based on the finite and in finite elements is summarized. Second, considerations in preparing the finite element mesh to ensure the accuracy and convergence of the solution are presented. Next, the validity of the procedure of solution is verified for some intuitive, fundamental cases. Finally, the problems solved by previous researchers with identical or assumed data will be re-solved, along with discussions on the discrepancies existing among the three solutions. One feature with the finite/infinite element approach is that it is simple and straightforward, involving less assumptions and mathematical operations, whose reliability has been verified in solving various soil vibration problems. The fact that the present solutions are in close agreement to those by Luco and De Barros (1994) for all the cases studied indicates that the latter is the most reliable one among the existing theories.
机译：许多研究人员使用不同的方法解决了垂直入射波作用下具有空腔的半空间问题。然而，获得了基本上不同的解决方案，部分是由于配制方法的不同，部分是由于缺乏用于分析的完全相同的数据。在本文中，采用了有限元/无限元方法来研究弹性半空间的二维响应，该半空间包含一个埋入的，无衬里的有限长圆柱体，该圆柱体受到谐波P和SV波的影响。首先，总结了基于有限元和有限元的分析程序。其次，提出了准备有限元网格以确保解的准确性和收敛性的考虑。接下来，针对一些直观的基本情况验证了求解过程的有效性。最后，将重新解决以前的研究人员使用相同或假定数据解决的问题，并讨论三种解决方案之间存在的差异。有限元/无限元方法的一个特点是它简单明了，涉及较少的假设和数学运算，其可靠性已在解决各种土壤振动问题中得到验证。目前的解决方案与Luco和De Barros（1994）的解决方案在所有研究案例中都非常吻合，这一事实表明，后者是现有理论中最可靠的一种。

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