陈少林, 张莉莉, 李山有. 半圆柱型沉积盆地对SH波散射的数值分析[J]. 工程力学, 2014, 31(4): 218-224. DOI: 10.6052/j.issn.1000-4750.2012.11.0819
引用本文: 陈少林, 张莉莉, 李山有. 半圆柱型沉积盆地对SH波散射的数值分析[J]. 工程力学, 2014, 31(4): 218-224. DOI: 10.6052/j.issn.1000-4750.2012.11.0819
CHEN Shao-lin, ZHANG Li-li, LI Shan-you. NUMERICAL ANALYSIS OF THE PLANE SH WAVES SCATTERING BY SEMI-CYLINDRICAL ALLUVIAL VALLEY[J]. Engineering Mechanics, 2014, 31(4): 218-224. DOI: 10.6052/j.issn.1000-4750.2012.11.0819
Citation: CHEN Shao-lin, ZHANG Li-li, LI Shan-you. NUMERICAL ANALYSIS OF THE PLANE SH WAVES SCATTERING BY SEMI-CYLINDRICAL ALLUVIAL VALLEY[J]. Engineering Mechanics, 2014, 31(4): 218-224. DOI: 10.6052/j.issn.1000-4750.2012.11.0819

半圆柱型沉积盆地对SH波散射的数值分析

NUMERICAL ANALYSIS OF THE PLANE SH WAVES SCATTERING BY SEMI-CYLINDRICAL ALLUVIAL VALLEY

  • 摘要: 该文实现了一种半无限域SH波散射问题的数值分析方法。采用传递矩阵法得到SH波斜入射时的自由场,将其作为输入;采用集中质量显式有限元方法计算区域内节点的位移;采用透射人工边界计算人工边界点的位移;通过编写的FORTRAN程序实现计算过程。运用该方法对均匀半空间内半圆柱型沉积盆地在SH波入射下的散射进行了分析,与Trifunac M D的解析解进行了对比,验证了该文方法的有效性,分析了不同入射角对地表位移和位移谱放大系数的影响。最后,对成层半空间内半圆柱型沉积盆地在SH波入射下的散射进行了分析。相对于解析方法而言,该方法可以考虑更为复杂地形情况。

     

    Abstract: A numerical method is presented for scattering and diffraction of plane SH waves. The wave input is realized through the free field wave motion obtained by transfer matrix method. The wave motions are calculated by the method of lumped-mass explicit finite element and local transmitting artificial boundary condition. The scattering and diffraction of plane SH waves by a semi-cylindrical alluvial valley is analyzed, which validates the proposed method through the comparison between the numerical results and the analytical solution obtained by Trifunac M D. In addition, a semi-cylindrical alluvial valley on layered half-space case is analyzed. The technique presented in this paper can be applied to the problem with complex geography.

     

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