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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 218-225.

• 论文 • 上一篇    下一篇

THE AXISYMMETRIC MIXED BOUNDARY-VALUE PROBLEM OF THE VERTICAL VIBRATION OF A RIGID FOUNDATIONON SATURATED LAYERED SOIL SUBGRADE

陈胜立1, 陈龙珠2   

  1. 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
  • 收稿日期:1999-12-14 修回日期:2001-09-18 出版日期:2002-02-18 发布日期:2002-02-18
  • 基金资助:
    the National Natural Science Foundation of China(59579018)

THE AXISYMMETRIC MIXED BOUNDARY-VALUE PROBLEM OF THE VERTICAL VIBRATION OF A RIGID FOUNDATIONON SATURATED LAYERED SOIL SUBGRADE

CHEN Sheng-li1, CHEN Long-zhu2   

  1. 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:1999-12-14 Revised:2001-09-18 Online:2002-02-18 Published:2002-02-18
  • Supported by:
    the National Natural Science Foundation of China(59579018)

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摘要： 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 elastic layer 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 Cv versus the dimensionless frequency a0 are presented.

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 elastic layer 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 Cv versus the dimensionless frequency a0 are presented.

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