A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
Vertical vibration of rigid strip footings on saturated soil layer with single-phase superstratum
https://orcid.org/0000-0003-2882-7352
https://orcid.org/0000-0003-2419-9723
https://orcid.org/0000-0002-9240-8411
Abstract This paper presents a mathematical formulation that accounts for the effects of groundwater table on the dynamic responses of a rigid strip footing on a finite-thickness soil layer subjected to harmonic vertical loading. The soil layer above the groundwater table is treated as viscoelastic single-phase medium, while the bottom layer is treated as saturated two-phase medium. The governing equations of the single-phase and saturated soil are cast based on the classical elastodynamic theory and Biot’s poroelastodynamic theory, respectively. The mixed-boundary value problem is converted into a pair of dual integral equations, which are subsequently transformed to a set of linear equations by means of Jacobi orthogonal polynomials and numerically solved. The validity of the derived solution is verified by comparisons with a couple of existing solutions. The effects of the variation of groundwater table and soil parameters on the dynamic compliance of footing and ground surface displacement are examined based on the proposed formulation in frequency domain.
Vertical vibration of rigid strip footings on saturated soil layer with single-phase superstratum
https://orcid.org/0000-0003-2882-7352
https://orcid.org/0000-0003-2419-9723
https://orcid.org/0000-0002-9240-8411
Abstract This paper presents a mathematical formulation that accounts for the effects of groundwater table on the dynamic responses of a rigid strip footing on a finite-thickness soil layer subjected to harmonic vertical loading. The soil layer above the groundwater table is treated as viscoelastic single-phase medium, while the bottom layer is treated as saturated two-phase medium. The governing equations of the single-phase and saturated soil are cast based on the classical elastodynamic theory and Biot’s poroelastodynamic theory, respectively. The mixed-boundary value problem is converted into a pair of dual integral equations, which are subsequently transformed to a set of linear equations by means of Jacobi orthogonal polynomials and numerically solved. The validity of the derived solution is verified by comparisons with a couple of existing solutions. The effects of the variation of groundwater table and soil parameters on the dynamic compliance of footing and ground surface displacement are examined based on the proposed formulation in frequency domain.
Vertical vibration of rigid strip footings on saturated soil layer with single-phase superstratum
https://orcid.org/0000-0003-2882-7352
https://orcid.org/0000-0003-2419-9723
https://orcid.org/0000-0002-9240-8411
Abstract This paper presents a mathematical formulation that accounts for the effects of groundwater table on the dynamic responses of a rigid strip footing on a finite-thickness soil layer subjected to harmonic vertical loading. The soil layer above the groundwater table is treated as viscoelastic single-phase medium, while the bottom layer is treated as saturated two-phase medium. The governing equations of the single-phase and saturated soil are cast based on the classical elastodynamic theory and Biot’s poroelastodynamic theory, respectively. The mixed-boundary value problem is converted into a pair of dual integral equations, which are subsequently transformed to a set of linear equations by means of Jacobi orthogonal polynomials and numerically solved. The validity of the derived solution is verified by comparisons with a couple of existing solutions. The effects of the variation of groundwater table and soil parameters on the dynamic compliance of footing and ground surface displacement are examined based on the proposed formulation in frequency domain.
Vertical vibration of rigid strip footings on saturated soil layer with single-phase superstratum
Zheng, Changjie (author) / He, Yuze (author) / Qu, Liming (author)
2024-03-29
Article (Journal)
Electronic Resource
English
Vertical compliance function of adjacent surface rigid footings in heterogeneous soil layer
| British Library Conference Proceedings | 2006
Rocking vibration of a rigid strip footing on saturated soil
| Online Contents | 2009
Rocking vibration of a rigid strip footing on saturated soil
| Online Contents | 2009
Rocking vibration of a rigid strip footing on saturated soil
| Elsevier | 2009