饱和土体中多排桩屏障对压缩快波的隔离

徐平, 邓亚虹, 吴明

徐平, 邓亚虹, 吴明. 饱和土体中多排桩屏障对压缩快波的隔离[J]. 工程力学, 2014, 31(5): 120-127. DOI: 10.6052/j.issn.1000-4750.2012.11.0890
引用本文: 徐平, 邓亚虹, 吴明. 饱和土体中多排桩屏障对压缩快波的隔离[J]. 工程力学, 2014, 31(5): 120-127. DOI: 10.6052/j.issn.1000-4750.2012.11.0890
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XU Ping, DENG Ya-hong, WU Ming. ISOLATION OF FAST COMPRESSIVE WAVES BY BARRIERS COMPOSED OF SEVERAL ROWS OF PILES IN SATURATATED SOILS[J]. Engineering Mechanics, 2014, 31(5): 120-127. DOI: 10.6052/j.issn.1000-4750.2012.11.0890
Citation: XU Ping, DENG Ya-hong, WU Ming. ISOLATION OF FAST COMPRESSIVE WAVES BY BARRIERS COMPOSED OF SEVERAL ROWS OF PILES IN SATURATATED SOILS[J]. Engineering Mechanics, 2014, 31(5): 120-127. DOI: 10.6052/j.issn.1000-4750.2012.11.0890
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饱和土体中多排桩屏障对压缩快波的隔离

  • 1.

    郑州大学水利与环境学院, 郑州 450001;

  • 2.

    长安大学地质工程系, 西安 710054

基金项目: 国家自然科学基金项目(51008286;51278467)
详细信息
    作者简介:

    邓亚虹(1978-), 男, 湖南安化人, 副教授, 博士, 从事土动力学研究 E-mail:dgdyh@chd.edu.cn;吴明(1979-), 男, 陕西蓝田人, 讲师, 博士, 从事基坑工程研究 E-mail:ming_eagle@163.com.

  • 中图分类号: TU435

ISOLATION OF FAST COMPRESSIVE WAVES BY BARRIERS COMPOSED OF SEVERAL ROWS OF PILES IN SATURATATED SOILS

  • 1.

    School of Water and Environment, Zhengzhou University, Zhengzhou, 450001, China;

  • 2.

    Department of Geological Engineering, Chang’

摘要

    摘要
  • 摘要: 假定桩的长度远大于直径, 将多排弹性桩组成的非连续屏障对平面压缩快波(简称P1波)的隔离简化为弹性波多重散射的二维平面问题, 运用复变函数的保角映射方法和波场势函数展开法, 根据桩-土界面处应力和位移连续的边界条件, 得到散射波场势函数展开式中待定复系数的理论解。通过分析屏障后的位移比值(某点由入射和散射弹性波产生的总位移与入射弹性波单独产生的位移之比)的变化规律, 对比了单排、双排和三排桩屏障的隔离效果, 研究结果表明：1) 多排桩屏障对高频入射P1波的隔离效果好于低频入射P1波;2) 随着桩排数的增多, 多排桩屏障的隔离效果明显提高, 有效隔离区域明显增大;3) 当桩排数达到三排时, 屏障后一定范围内的隔离效果提高到了70%, 隔离效果比较理想。
    Abstract: The lengths of elastic piles are considered as much larger than the diameters, so the isolation of incident fast longitudinal waves (simplified as P1 waves) by discontinuous barriers composed of several rows of piles can be simplified as a two-dimensional plane problem. The conformal mapping method of complex functions and the expansion method of wave functions are adopted, the stresses and displacements are considered as continuous at the boundaries between the piles and adjacent saturated soils, and then the theoretical solutions for the complex coefficients in the scattering wave potential functions are obtained. By studying the normalized displacement amplitudes behind the barriers, which are the ratios of displacement amplitudes of soils caused by both the incident and scattered waves to those only by the incident P1 waves, the isolation effects of the barriers composed of one, two and three rows of piles are compared, and the results show that 1) the isolation effects of barriers composed of several rows of piles for incident P1 waves with higher frequencies are much better than those with lower frequencies;2) the vibration isolation effects improve obviously and effective isolation areas increase obviously with the row number of piles increase;3) when the row number of cylindrical cavities reach three, the vibration isolation effects of some locations behind the barriers exceed 70%, which is much ideal for the vibration isolation.
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    • 参考文献(13)
  • [1] Avilés J, Sánchez-Sesma F J. Piles as barriers for elastic waves [J]. Journal of Geotechnical Engineering, 1983, 109(9): 1133-1146.
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    [12] [12] 徐平. 多排桩非连续屏障对平面弹性波的隔离[J]. 岩石力学与工程学报, 2012, 31(增刊1): 3159-3166. Xu Ping. Isolation of plane elastic waves by discontinous barriers composed of several rows of piles [J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(Suppl 1): 3159-3166. (in Chinese)
    [13] [13] 吴世明. 土介质中的波[M]. 北京: 科学出版社, 1997: 80-84. Wu Shiming. Wave propagation in soils [M]. Beijing: Science Press, 1997: 80-84. (in Chinese)
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出版历程
  • 收稿日期:  2012-11-21
  • 刊出日期:  2014-05-24

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