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弹性地基中三维动力问题的耦合粘性边界
引用本文:严细水. 弹性地基中三维动力问题的耦合粘性边界[J]. 岩土工程学报, 2006, 28(8): 937-939
作者姓名:严细水
作者单位:浙江大学建筑工程学院;浙江杭州310027;
摘    要:根据波在地基的3个方向(x、y、z轴)都可以进行传播的特点,假定了地基中质点沿3个方向的振动表达式,通过胡克定律和波动理论,推导了弹性地基中三维动力问题的耦合粘性边界的公式。数值计算结果与理论精确解的比较表明:有限区域的有限元与截断边界的耦合粘性边界结合,能够较准确地求解弹性半空间的三维波动问题。本文耦合粘性边界是和频率无关的,可以适用于频域和时域的计算。

关 键 词:耦合粘性边界  三维  弹性地基  
文章编号:1000-4548(2006)08-0937-03
收稿时间:2005-04-30
修稿时间:2005-04-30

Coupled viscous boundary of three dimensional dynamic problem in elastic foundation
YAN Xi-shui. Coupled viscous boundary of three dimensional dynamic problem in elastic foundation[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(8): 937-939
Authors:YAN Xi-shui
Affiliation:College of Civil Engineering and Architecture Zhejiang University Hangzhou 310027 China
Abstract:Based on wave propagating in three directions(x,y,z axis) of elastic foundation,vibrating displacement could be assumed to be in three forms along three directions.Hooke’s law and theory of waves were adopted to deduce the formula of coupled viscous boundary.The coupled viscous boundary could be applied in finite element method.Compared with the theoretical exact solution of Lamb problem,numerical solution could accurately solve the axisymmetric dynamic problems.Although it was deduced in frequency domain,the coupled viscous boundary was independent on frequency.The coupled viscous boundary could be used not only in frequency domain but also in time domain.
Keywords:coupled viscous boundary   three dimension   elastic foundation
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