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半空间饱和土在埋置扭转振动荷载作用下的响应
引用本文:陈刚,徐长节,吴大志,刘飞禹. 半空间饱和土在埋置扭转振动荷载作用下的响应[J]. 浙江大学学报(工学版), 2005, 39(10): 1566-1570
作者姓名:陈刚  徐长节  吴大志  刘飞禹
作者单位:陈刚,徐长节,吴大志,刘飞禹(浙江大学 土木工程学系,浙江 杭州 310027)
摘    要:研究了埋置扭转振动荷载作用在半空间饱和土体的稳态响应问题,假设扭转振动荷载为柱坐标内轴对称分布的 剪应力,土体的运动方程为Biot饱和土波动方程,利用Hankel变换对基本方程进行求解,结合边界条件,求出变换后的 应力及位移,利用Hankel逆变换得出饱和土体内部的应力及位移,并分析了土体参数变化带来的影响.计算结果表明:荷 载频率对土体内部应力及位移的影响较大;在应力作用面附近,土体的应力及位移变化较急剧,而远离作用面其变化并 不显著;渗透系数的影响并不是很显著,当渗透系数较小时,渗透系数的变化对土体的应力及位移几乎没有影响.

关 键 词:饱和土半空间; 埋置荷载; 扭转振动; Hankel变换
文章编号:1008-973X(2005)10-1566-05
收稿时间:2004-09-17
修稿时间:2004-09-17

Dynamic response of buried torsional oscillations in saturated half-space
CHEN Gang,XU Chang-jie,WU Da-zhi,LIU Fei-yu. Dynamic response of buried torsional oscillations in saturated half-space[J]. Journal of Zhejiang University(Engineering Science), 2005, 39(10): 1566-1570
Authors:CHEN Gang  XU Chang-jie  WU Da-zhi  LIU Fei-yu
Affiliation:Department of Civil Engineering, Zhejiang University, Hangzhou 310027 ,China
Abstract:The torsional steady-state response of buried loads in poloelastic soil was studied.In cylindrical coordinates,the dynamic loads were considered as axasymmetric shearing stress.With the soil governed by Biot's dynamic equations,the governing equations were solved by using Hankel transform.Considering boundary conditions,the stress and displacement of soil were obtained in the transform fields.Hankel inverse transform was finally used to obtained the stress and displacement of the poloelastic soil,and the influences of relevant parameters were analyzed.Numerical results indicate that the frequency has obvious effect on the stress and displacement of the soil,but the permeability coefficient has little effect especially when the permeability coefficient is small.Furthermore,the stress and displacement change rapidly with depth near the load acting face.
Keywords:saturated half-space  buried loads  torsional oscillations  Hankel transform
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