Vertical vibration response of rigid strip footings on a viscoelastic soil layer overlying bedrock

ZHENG Chang-jie; HE Yu-ze; DING Xuan-ming; LUAN Lu-bao; CHEN Ye-wei

doi:10.16285/j.rsm.2021.1512

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Vertical vibration response of rigid strip footings on a viscoelastic soil layer overlying bedrock

更新时间：2026-06-25

- Vertical vibration response of rigid strip footings on a viscoelastic soil layer overlying bedrock
- Vol. 43, Issue 6, Pages: 1434-1440(2022)
- 作者机构：
  
  1. 福建工程学院土木工程学院,福建,福州,350118
  2. 福建工程学院福建省土木工程新技术与信息化重点实验室,福建,福州,350118
  3. 重庆大学山地城镇建设与新技术教育部重点实验室,重庆,400045
  4. 中国海洋大学工程学院,山东,青岛,266100
  5. 中建四局建设发展有限公司,福建,厦门,361000
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2021.1512
  CLC： TU471.12
- Online First：29 June 2022，
  
  Published：2022
- 稿件说明：
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ZHENG Chang-jie, HE Yu-ze, DING Xuan-ming, et al. Vertical vibration response of rigid strip footings on a viscoelastic soil layer overlying bedrock[J]. 2022, 43(6): 1434-1440.
DOI：

ZHENG Chang-jie, HE Yu-ze, DING Xuan-ming, et al. Vertical vibration response of rigid strip footings on a viscoelastic soil layer overlying bedrock[J]. 2022, 43(6): 1434-1440. DOI： 10.16285/j.rsm.2021.1512.

摘要

考虑地基土层厚度的影响，对黏弹性地基上刚性条形基础承受竖向荷载下的动力响应问题进行了理论研究。通过Fourier积分变换求解了地基土的动力控制方程，并结合基底和地基的混合边界条件及土层刚性基岩边界条件，得到了刚性条形基础的对偶积分方程。通过Jacobi正交多项式将其转化为线性方程组并进行数值求解。将所得解退化至弹性半空间，并与已有文献进行了对比，验证了解析解的合理性。分析结果表明：地基土层厚度是影响地基振动产生的表面波衰减以及条形基础动力柔度系数变化的重要因素。通过数值算例发现，只有在土层厚度超过基底宽度大约50倍的情况下，现有的将地基土视为无限半空间的理论解才是合理的。

Abstract

Considering the influence of soil thickness

the vertical vibration response of rigid strip footings on viscoelastic soil is theoretically investigated. Based on the assumptions for footing and foundation with rigid bedrock boundary condition

employing the method of Fourier transform

this mixed-boundary value problem is expressed as a pair of dual integral equations

which are transformed to a set of linear equations by means of Jacobi orthogonal polynomials and solved numerically. The solution in this study is compared with the solution of elastic half-space in the literature to verify its rationality. The results demonstrate that the attenuation of ground waves generated by the vibration of the footing

as well as the variation in dynamic compliance coefficient of the foundation

is sensitive to the thickness of the foundation soil layer. The numerical results suggest that considering the foundation soil as infinite half-space

as in existing solutions

is reasonable only in cases where the thickness of the top soil layer exceeds approximately fifty times the width of the footing.

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