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Vertical vibration of rigid strip footings on poroelastic soil layer of finite thickness
https://orcid.org/0000-0002-0906-5607
https://orcid.org/0000-0002-3563-2222
Abstract This paper presents a numerical solution that describes the response to forced vertical vibrations of rigid strip footings founded on the surface of a poroelastic soil layer of finite thickness. To mathematically describe this mixed boundary value problem, we relax the boundary conditions and cast it as a pair of dual integral equations, which are transformed to a system of linear equations by means of Jacobi orthogonal polynomials. The system is solved numerically to provide the frequency-dependent footing compliance, and the associated nearby soil displacement. Results obtained with the model at hand underline the important contribution of standing waves to the response of the soil-foundation system, and draw the limits of existing solutions that consider the foundation soil as infinite half-space, where standing waves cannot form.
Highlights The interaction between a rigid strip footing and poroelastic soil layer is considered. The mixed boundary conditions are transferred to Jacobi polynomials and solved. The contribution of standing waves to the dynamic response is identified. The footing compliance and surface soil displacement are discussed.
Vertical vibration of rigid strip footings on poroelastic soil layer of finite thickness
https://orcid.org/0000-0002-0906-5607
https://orcid.org/0000-0002-3563-2222
Abstract This paper presents a numerical solution that describes the response to forced vertical vibrations of rigid strip footings founded on the surface of a poroelastic soil layer of finite thickness. To mathematically describe this mixed boundary value problem, we relax the boundary conditions and cast it as a pair of dual integral equations, which are transformed to a system of linear equations by means of Jacobi orthogonal polynomials. The system is solved numerically to provide the frequency-dependent footing compliance, and the associated nearby soil displacement. Results obtained with the model at hand underline the important contribution of standing waves to the response of the soil-foundation system, and draw the limits of existing solutions that consider the foundation soil as infinite half-space, where standing waves cannot form.
Highlights The interaction between a rigid strip footing and poroelastic soil layer is considered. The mixed boundary conditions are transferred to Jacobi polynomials and solved. The contribution of standing waves to the dynamic response is identified. The footing compliance and surface soil displacement are discussed.
Vertical vibration of rigid strip footings on poroelastic soil layer of finite thickness
https://orcid.org/0000-0002-0906-5607
https://orcid.org/0000-0002-3563-2222
Abstract This paper presents a numerical solution that describes the response to forced vertical vibrations of rigid strip footings founded on the surface of a poroelastic soil layer of finite thickness. To mathematically describe this mixed boundary value problem, we relax the boundary conditions and cast it as a pair of dual integral equations, which are transformed to a system of linear equations by means of Jacobi orthogonal polynomials. The system is solved numerically to provide the frequency-dependent footing compliance, and the associated nearby soil displacement. Results obtained with the model at hand underline the important contribution of standing waves to the response of the soil-foundation system, and draw the limits of existing solutions that consider the foundation soil as infinite half-space, where standing waves cannot form.
Highlights The interaction between a rigid strip footing and poroelastic soil layer is considered. The mixed boundary conditions are transferred to Jacobi polynomials and solved. The contribution of standing waves to the dynamic response is identified. The footing compliance and surface soil displacement are discussed.
Vertical vibration of rigid strip footings on poroelastic soil layer of finite thickness
Zheng, Changjie (author) / He, Yuze (author) / Kouretzis, George (author) / Ding, Xuanming (author)
2023-02-11
Article (Journal)
Electronic Resource
English
Vertical vibration of an embedded rigid foundation in a poroelastic soil
| Online Contents | 2006
Vertical vibration of an embedded rigid foundation in a poroelastic soil
| British Library Online Contents | 2006
Vertical vibration of an embedded rigid foundation in a poroelastic soil
| Elsevier | 2005