应用分数阶导数模拟桩屏障对粘弹性SH波的隔离

李源; 陈文; 庞国飞

doi:10.3879/j.issn.1000-0887.2014.09.001

应用分数阶导数模拟桩屏障对粘弹性SH波的隔离

doi: 10.3879/j.issn.1000-0887.2014.09.001

河海大学力学与材料学院,南京 210098

基金项目: 国家重点基础研究发展计划（973计划）（2010CB832702）；国家杰出青年科学基金（11125208）；111引智计划（B12032）

详细信息

作者简介:
李源（1990—），女，河南新乡人，硕士生（E-mail: gclxliyuan@126.com）；陈文（1967—），男，江苏镇江人，教授，博士生导师（通讯作者.E-mail: chenwen@hhu.edu.cn）.

中图分类号: O34;TU43
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出版历程
- 收稿日期: 2014-04-10
- 修回日期: 2014-07-08
- 刊出日期: 2014-09-15

Application of Fractional Calculus to Simulate the Isolation Effects of Discontinuous Pile Barriers on Viscoelastic SH Waves

College of Mechanics and Materials, Hohai University, Nanjing 210098, P.R.China

Funds: The National Basic Research Program of China (973 Program)（2010CB832702）; The National Science Fund for Distinguished Young Scholars of China（11125208）

摘要

摘要: 从粘弹性体波的三维分数阶本构方程出发，分析了软粘土中粘弹性P波和S波的频散效应，对比研究了非连续刚性桩和弹性桩对粘弹性SH波的隔离效果.利用有限差分法，分别模拟了不同桩间距与桩直径比、不同分数阶阶数及入射频率下振幅衰减系数的变化规律，并对比分析了刚性桩和弹性桩的隔震效果.数值实验表明，桩间距与桩直径比值越小，分数阶阶数越大，刚性桩隔震效果越好.对于某些特定的隔震区域，分数阶阶数越小，弹性桩隔震效果越好.
- 时间分数阶导数 /
- 粘弹性波散射 /
- 屏障隔震 /
- 有限差分
Abstract: Based on the 3-dimensional (3D) fractional order constitutive equation of viscoelastic body waves, the frequency dispersion characteristics of viscoelastic P- and S-waves were analyzed. Also, the isolation effects of the discontinuous rigid pile barrier and the elastic pile barrier in soft clay on viscoelastic SH waves were comparatively studied. With the finite difference method (FDM), an array of vibration amplitude reduction factors for different pile spacing-to-diameter ratios, different fractional orders and different frequencies of incident waves were obtained, and the isolation effect of the elastic pile isolation system in comparison with the rigid was analyzed. The results exhibit that the smaller pile spacing-to-diameter ratio is, or the larger the fractional order is, the better isolation effect of the rigid barrier will be. In contrast, the elastic barrier has better isolation effect in some special target area when the fractional order becomes smaller.
- time fractional derivative /
- viscoelastic wave scattering /
- barrier isolation /
- finite difference method (FDM)

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参考文献(25)

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应用分数阶导数模拟桩屏障对粘弹性SH波的隔离

doi: 10.3879/j.issn.1000-0887.2014.09.001

作者简介:
李源（1990—），女，河南新乡人，硕士生（E-mail: gclxliyuan@126.com）；陈文（1967—），男，江苏镇江人，教授，博士生导师（通讯作者.E-mail: chenwen@hhu.edu.cn）.

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Application of Fractional Calculus to Simulate the Isolation Effects of Discontinuous Pile Barriers on Viscoelastic SH Waves

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应用分数阶导数模拟桩屏障对粘弹性SH波的隔离

doi: 10.3879/j.issn.1000-0887.2014.09.001

作者简介: 李源（1990—），女，河南新乡人，硕士生（E-mail: gclxliyuan@126.com）；陈文（1967—），男，江苏镇江人，教授，博士生导师（通讯作者.E-mail: chenwen@hhu.edu.cn）.

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出版历程

Application of Fractional Calculus to Simulate the Isolation Effects of Discontinuous Pile Barriers on Viscoelastic SH Waves

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出版历程

目录

作者简介:
李源（1990—），女，河南新乡人，硕士生（E-mail: gclxliyuan@126.com）；陈文（1967—），男，江苏镇江人，教授，博士生导师（通讯作者.E-mail: chenwen@hhu.edu.cn）.