Analysis of three-dimensional dynamic response of a circular lining tunnel in saturated soil to harmonic loading
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Analysis of three-dimensional dynamic response of a circular lining tunnel in saturated soil to harmonic loading
Vol. 35, Issue 4, (2014)
作者机构:
1. 浙江大学 滨海和城市岩土工程研究中心,杭州,310058
2. 浙江大学 软弱土与环境土工教育部重点实验室,杭州,310058
3. 温州大学 建筑与土木工程学院,浙江,温州,325035
作者简介:
基金信息:
DOI:
CLC:U451
Online First:18 April 2014,
Published:2014
稿件说明:
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ZENG Chen, SUN Hong-lei, CAI Yuan-qiang, et al. Analysis of three-dimensional dynamic response of a circular lining tunnel in saturated soil to harmonic loading[J]. 2014, 35(4).
DOI:
ZENG Chen, SUN Hong-lei, CAI Yuan-qiang, et al. Analysis of three-dimensional dynamic response of a circular lining tunnel in saturated soil to harmonic loading[J]. 2014, 35(4).DOI:
Analysis of three-dimensional dynamic response of a circular lining tunnel in saturated soil to harmonic loading
Three-dimensional dynamic response of a circular lining tunnel surrounded by a full-space saturated soil to a harmonic point load acting in the radial direction is investigated. The lining is modeled as a cylindrical shell of infinite length; and the soil is modeled as a saturated poroelastic medium using Biot’s theory. Two kinds of potential functions are introduced to represent the displacements of the soil skeleton and the excess pore fluid pressure; and the modified Bessel equations are utilized to obtain the expressions of the potentials function. According to boundary conditions
the analytical solutions of displacements of lining and soil and pore pressure are derived in frequency-wave number domain. Finally
the time-space domain solutions of the dynamic responses are obtained by inverse Fourier transformation. The effects of load vibration frequency and soil permeability on displacement and pore pressure responses are investigated. Numerical results show that the displacement response of saturated soil is significantly different from that of single phase elastic soil. As the load vibration frequency increasing
the displacement amplitudes of soil and tunnel decrease
while the pore pressure amplitude increases. The displacement and pore pressure amplitudes of soil decrease as the soil permeability getting better.