A refined model for beams on elastic foundations

Vallabhan, C. V. Girija; Das, Y. C.

doi:10.1016/0020-7683(91)90217-4

Cited by 67 publications

(35 citation statements)

References 4 publications

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“…The two parameters k and k in terms of the elastic constants and the dimensions of the plate and the soil foundation have been evaluated by Vallabhan et al [23]. These parameters applied to a foundation with a "nite depth of soil, h, can be de"ned by…”

Section: Foundation Parameters K 0 and Kmentioning

confidence: 99%

Finite element modelling of thick plates on two‐parameter elastic foundation

Buczkowski

Torbacki

2001

Num Anal Meth Geomechanics

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SUMMARYThis paper is intended to give some information about how to build a model necessary for bending analysis of rectangular and circular plates resting on a two-parameter elastic foundation, subjected to combined loading and permitting various types of boundary conditions. The formulation of the problem takes into account the shear deformation of the plate and the surrounding interaction e!ect outside the plate. The numerical model based on an 18-node zero-thickness isoparametric interface element interacting with a thick Reissner}Mindlin plate element with three degrees of freedom at each of the nine nodes, which enforce C continuity requirements for the displacements and rotations of the midsurface, is proposed. Sti!ness matrices of a special interface element are superimposed on the global sti!ness matrix to represent the sti!ening elastic foundation under and beyond the plate. Some numerical examples are given to illustrate the advantages of the method presented.

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Section: Foundation Parameters K 0 and Kmentioning

confidence: 99%

Finite element modelling of thick plates on two‐parameter elastic foundation

Buczkowski

Torbacki

2001

Num Anal Meth Geomechanics

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“…(1)(2)(3)(4), it is seen that the modulus of subgrade reaction, k, and the soil shear parameter, 2t, mode shape function () z  , the depth of the subsoil, Hs, the third parameter of the soil,  , and vertical surface displacement of the subsoil are dependent variables. Therefore, the solution of this complex soil-structure interaction problem can be performed using an iterative technique [4]. The third soil parameter,  , is set to be equal to 1 to start iterations.…”

Section: Modified Vlasov Modelmentioning

confidence: 99%

“…Modified Vlasov model facilitates the calculation of soil parameters depending on properties soil and the structure and type and the distribution of loads. There are many studies available on plates or beams resting on elastic foundation in literature [1][2][3][4][5][6][7]. Beside this, studies have been also carried out to investigate the effect of the subsoil on building behavior [8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Effects of soil structure interaction on behavior of reinforced concrete structures

Kiliçer¹,

Özgan²,

Daloglu³

2018

JSEAM

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The effects of the subsoil have a very important role on the behavior of the structures. For many years, these effects have been neglected and the superstructure is designed without considering the soil-structure interaction. However, earthquakes in recent years have clearly shown the importance of soil-structure interaction on the design of the structures, and studies on soil-structure interaction have increased especially in the last 50 years. In this study, the effect of soil-structure interaction on behavior of reinforced concrete structures is investigated. The effect of subsoil has been taken into account using Winkler and Vlasov Model in addition to rigid base assumption. For this purpose, an interface that allows SAP2000 and MATLAB to be used simultaneously has been developed in MATLAB. It is observed that soil-structure interaction has a significant effect on the column longitudinal reinforcement ratio of reinforced concrete structures.

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“…For tunnels, such models typically consist of beams on independent Winkler-type springs (Winkler, 1867), involving both numerical (e.g., Anastasopoulos et al, 2007;Yu et al, 2017;Oh and Moon, 2018) and analytical schemes (St. John and Zarah, 1987;Karadeniz, 2001;SanchezMerino et al, 2009;Yu et al, 2016b). However, the seismic response of continua (i.e., soil) can be modeled better by including a shear beam over the Winkler base, allowing for interaction among individual springs (Girija-Vallabhan and Das, 1991), rather than using a single layer of independent springs (Nogami and Lam, 1987). In geotechnical earthquake engineering, a similar approach has been employed for assessing the seismic response of piled foundations (Valsangkar and Pradhanang, 1988) and retaining walls (Younan et al, 1997).…”

Section: Introductionmentioning

confidence: 99%

System Identification of Tunnel Response to Ground Motion Considering a Simplified Model

Alonso‐Rodríguez

Nikitas

Knappett

et al. 2018

Front. Built Environ.

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This paper presents a simplified model using coupled Bernoulli and shear beams supported by Winkler-type springs for system identification of tunnels subjected to earthquake-induced ground motions. The model formulation is introduced and closed-form solutions to the modal characteristic equation and mode shapes are derived. The latter are verified against the results of numerical models. Then, the system identification algorithm is presented, showcasing its ability to recover model parameters when recorded acceleration time histories along the tunnel are compromised by noise and sensor locations are varied. The presented framework can be used to initially and, simply, recover tunnel response when monitoring data is available, or to plan for monitoring campaigns in newly constructed or existing tunnels.

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A refined model for beams on elastic foundations

Cited by 67 publications

References 4 publications

Finite element modelling of thick plates on two‐parameter elastic foundation

Finite element modelling of thick plates on two‐parameter elastic foundation

Effects of soil structure interaction on behavior of reinforced concrete structures

System Identification of Tunnel Response to Ground Motion Considering a Simplified Model

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