## 留言板

 引用本文: 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[J]. 应用数学和力学, 2002, 23(2): 201-206.
CHEN Sheng-li, CHEN Long-zhu. The Axisymmetric Mixed Boundary-Value Problem of the Vertical Vibration of a Rigid Foundation on Saturated Layered Soil Subgrade[J]. Applied Mathematics and Mechanics, 2002, 23(2): 201-206.
 Citation: CHEN Sheng-li, CHEN Long-zhu. The Axisymmetric Mixed Boundary-Value Problem of the Vertical Vibration of a Rigid Foundation on Saturated Layered Soil Subgrade[J]. Applied Mathematics and Mechanics, 2002, 23(2): 201-206.

• 中图分类号: TU435

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

• 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Cv随无量纲频率a0的变化曲线。
•  [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.

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##### 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

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