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

CHEN Sheng-li; CHEN Long-zhu

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Article Navigation > Applied Mathematics and Mechanics > 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.

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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

Received Date: 1999-12-14
Rev Recd Date: 2001-09-18
Publish Date: 2002-02-15

Abstract

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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References(7)

References

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