上覆单相弹性层的饱和地基上刚性基础竖向振动的轴对称混合边值问题

陈胜立; 陈龙珠

上覆单相弹性层的饱和地基上刚性基础竖向振动的轴对称混合边值问题

陈胜立¹,
陈龙珠²

1.
清华大学土木水利学院, 北京 100084;
2.
海交通大学建筑工程与力学学院, 上海 200030

基金项目: 国家自然科学基金资助项目(59579018)

详细信息

作者简介:
陈胜立(1974- ),男,浙江温岭人,博士,主要研究方向为土动力学与地震工程.

中图分类号: TU435
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- 被引次数: 0
出版历程
- 收稿日期: 1999-12-14
- 修回日期: 2001-09-18
- 刊出日期: 2002-02-15

The Axisymmetric Mixed Boundary-Value Problem of the Vertical Vibration of a Rigid Foundation on Saturated Layered Soil Subgrade

CHEN Sheng-li¹,
CHEN Long-zhu²

1.
School of Civil and Hydraulic Engineering, Tsinghua University, Beijing 100084, P R China;
2.
School of Architecture and Civil Engineering, Shanghai Jiaotong University, Shanghai 200030, P R China

摘要

摘要: 运用作者提出的饱和土弹性波动方程,从理论上研究了上覆单相弹性土层的饱和地基上刚性基础的竖向振动轴对称问题,即采用Hankel积分变换技术并按混合边值条件建立了部分饱和地基上刚性基础竖向振动的对偶积分方程,并将其蜕化为完全饱和地基的情形;该对偶积分方程可化为易于数值计算的第二类Fredholm积分方程。文末的算例给出了地基表面动力柔度系数C_v随无量纲频率a₀的变化曲线。
- 部分饱和地基 /
- 刚性基础 /
- 动力柔度系数
Abstract: Based on the theory of elastic wave propagation in saturated soil subgrade established by the author of this paper, the axisymmetric vertical vibration of a rigid circular foundation resting on partially saturated soil subgrade which is composed of a dry elasti clayer and a saturated substratum is studied. The analysis relied on the use of integral transform techniques and a pair of dual integral equations governing the vertical vibration of the rigid foundation is listed under the consideration of mixed boundary-value condition. The results are reduced to the case for saturated half-space. The set of dual integral equations are reduced to a Fredholm integral equation of the second kind and solved by numerical procedures. Numerical examples are given at the end of the paper and plots of the dynamic compliance coefficient C_v versus the dimensionless frequency a₀ are presented.
- partially saturated soil subgrade /
- rigid foundation /
- dynamic compliance coefficient

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参考文献(7)

[1]	Luco J E,Westmann R A.Dynamic response of circular footings[J].J Eng Mech,ASCE,1971,97(5):1381-1395.
[2]	Halpern M R,Christiano P.Response of poroelastic halfspace to steady-state harmonic surface tractions[J].Int J Numer Anal Meth Geomech,1986,10(6):609-632.
[3]	Philippacopoulos A J.Axisymmetric vibration of disk resting on saturated layered half-space[J].J Eng Mech,ASCE,1989,115(10):2301-2322.
[4]	Bougacha S,Tassoulas J L,Roesset J M.Analysis of foundation on fluid-filled poroelastic stratum[J].J Eng Mech,ASCE,1993,119(8):1632-1648.
[5]	陈龙珠,陈胜立.饱和地基上刚性基础的竖向振动分析[J].岩土工程学报,1999,21(4):392-397.
[6]	陈龙珠.饱和土中弹性波的传播速度及其应用[D].杭州:浙江大学,1987.
[7]	Noble B.The solution of Bessel function dual integral equations by a multiplying-factor method[J].Proc Camb Phil Soc,1963,59(351):315-362.