Dynamic response of multiple flexible strips on a multilayered poroelastic half-plane

Senjuntichai, Teerapong; Kaewjuea, Wichairat

doi:10.2140/jomms.2008.3.1885

Cited by 21 publications

(5 citation statements)

References 22 publications

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“…Recent research has focused on gaining a better understanding of these problems using modern numerical methods. For example, Senjuntichai and Kaewjuea (2008) studied multiple strip-footings on a multilayered poroelastic half-plane, while Senjuntichai et al (2018) investigated the problem of vertical vibration of rigid footings in a multilayered poroelastic medium. Other studies include the dynamic response of circular foundations in a transversely isotropic poroelastic soil, the influence of anisotropic properties and layering of saturated soils on the dynamic response of a circular foundation under vertical loading, and the vertical vibrations of a group of flexible strip foundations on multilayered transversely isotropic poroelastic soils (Senjuntichai et al, 2020(Senjuntichai et al, , 2021.…”

Section: Dynamic Response Of Foundation Using the Boundary Element Me...mentioning

confidence: 99%

Lumped parameter model for vertical vibrations of surface circular foundations on nonhomogeneous soil

Zahafi

Hadid

Bencharif³

2023

WJE

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Purpose A newly developed frequency-independent lumped parameter model (LPM) is the purpose of the present paper. This new model’s direct outcome ensures high efficiency and a straightforward calculation of foundations’ vertical vibrations. A rigid circular foundation shape resting on a nonhomogeneous half-space subjected to a vertical time-harmonic excitation is considered. Design/methodology/approach A simple model representing the soil–foundation system consists of a single degree of freedom (SDOF) system incorporating a lumped mass linked to a frequency-independent spring and dashpot. Besides that, an additional fictitious mass is incorporated into the SDOF system. Several numerical methods and mathematical techniques are used to identify each SDOF’s parameter: (1) the vertical component of the static and dynamic foundation impedance function is calculated. This dynamic interaction problem is solved by using a formulation combining the boundary element method and the thin layer method, which allows the simulation of any complex nonhomogeneous half-space configuration. After, one determines the static stiffness’s expression of the circular foundation resting on a nonhomogeneous half-space. (2) The system’s parameters (dashpot coefficient and fictitious mass) are calculated at the resonance frequency; and (3) using a curve fitting technique, the general formulas of the frequency-independent dashpot coefficients and additional fictitious mass are established. Findings Comparisons with other results from a rigorous formulation were made to verify the developed model’s accuracy; these are exceptional cases of the more general problems that can be addressed (problems like shallow or embedded foundations of arbitrary shape, other vibration modes, etc.). Originality/value In this new LPM, the impedance functions will no longer be needed. The engineer only needs a limited number of input parameters (geometrical and mechanical characteristics of the foundation and the soil). Moreover, a simple calculator is required (i.e. we do not need any sophisticated software).

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Section: Dynamic Response Of Foundation Using the Boundary Element Me...mentioning

confidence: 99%

Lumped parameter model for vertical vibrations of surface circular foundations on nonhomogeneous soil

Zahafi

Hadid

Bencharif³

2023

WJE

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“…(11)(12)(13), to the Eq. (1), the coupling lateral-rocking impedance matrix of adjacent footings can be obtained …”

Section: Coupling Lateral-rocking Impedancementioning

confidence: 99%

“…Dynamic interaction of a group of flexible strip footings resting on smooth contact with a homogeneous elastic half-space was studied by Wang et al [10] based on a classical Green function for a concentrated vertical line load. It was extended later by Senjuntichai and Kaewjuea [11] to a multilayered poroelastic half-space. Their studies were limited to vertical dynamic interaction.…”

Section: Introductionmentioning

confidence: 98%

Simplified Model for Coupled Vibration of Adjacent Strip Footings

Wang¹,

Zhou²,

Liu³

2015

Proceedings of the 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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“…The elastodynamic theory for poroelastic medium is first developed by Biot, 32,33 which constitutes a series of partial differential equations governing the wave propagations in poroelasity. Under the Biot theory, Senjuntichai and Kaewjuea 34 studied dynamic interaction between a strip foundation and a layered poroelastic half-space with the coupled variational-Green's function scheme 25 . Cai et al 35 described the foundation flexibility by Jacobi polynomials and studied vertical vibration of an elastic strip footing on saturated soil.…”

Section: Introductionmentioning

confidence: 99%

Vertical and rocking motions of a flexible strip foundation placed on a layered transversely isotropic poroelastic half‐space

2022

Earthq Engng Struct Dyn

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An analytical method for vertical and rocking motions of a flexible strip foundation on a layered transversely isotropic proelastic half‐space is presented in this paper. The dynamic soil‐structure interactions are simultaneously restricted by the boundary conditions for the underlying media and the flexible strip foundation. For the underlying media, the plain strain dynamic responses of the layered poroelastic half‐space are obtained by the extended precise integration method. For the strip foundation, the deflection due to the vertical motion and the rocking motion are obtained by analytically solving the dynamic equilibrium of the thin plate. Then, the mixed boundary conditions for the dynamic interactions are degenerated into a set of linear equations by assuming Bessel series expansions for the contact stress. The series solutions for these linear equations can be utilized to yield the compliance functions and the dynamic responses for the underlying media. Finally, a calculation program is compiled to verify the presented theory and discuss the effects of the stratifications, the dynamic permeability, and the foundation flexibility.

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Dynamic response of multiple flexible strips on a multilayered poroelastic half-plane

Cited by 21 publications

References 22 publications

Lumped parameter model for vertical vibrations of surface circular foundations on nonhomogeneous soil

Lumped parameter model for vertical vibrations of surface circular foundations on nonhomogeneous soil

Simplified Model for Coupled Vibration of Adjacent Strip Footings

Vertical and rocking motions of a flexible strip foundation placed on a layered transversely isotropic poroelastic half‐space

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