Parametric Study of Beams on Elastic Foundations

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

doi:10.1061/(asce)0733-9399(1988)114:12(2072)

Cited by 136 publications

(69 citation statements)

References 3 publications

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“…These figures show that the PM has smaller displacements and smaller slopes of surface displacements than the FEM. These tendencies were pointed out earlier by Vallabhan et al, (1988Vallabhan et al, ( , 1991. Although the errors due to Vlasov's assumptions are unavoidable to some extent, they are large enough that accuracy must be improved and the parameters modified within reason.…”

Section: Comparison With Fem Solutionsmentioning

confidence: 88%

“…(16) needs a surface displacement distribution. Thus, Vallabhan et al, (1988) proposed an iterative method to solve Eqs. (6) and (15) simultaneously.…”

Section: Determination Of Parametersmentioning

confidence: 99%

“…Furthermore, Jones et al, (1977) established a rigorous theoretical base for the shape function of the vertical displacement profile suggested by Vlasov et al, (1960). Vallabhan et al, (1988) modified the Vlasov model and showed solutions for an elastic beam on an elastic layer. Using an iterative procedure, they also accurately solved the equations for two parameters established by Jones et al, (1977).…”

Section: Introductionmentioning

confidence: 99%

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Pasternak Model Formulation of Elastic Displacements in the Case of a Rigid Circular Foundation

Tanahashi

2007

Journal of Asian Architecture and Building Engineering

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The classical Winkler model has often been used in many engineering fields. However, it has some shortcomings, because the adjacent displacements are discontinuous. In this paper, the Pasternak model -an improved continuum model -is applied to the surface displacement distribution analysis of an elastic layer with a finite depth in an axisymmetric condition. The parameters of the Pasternak model are determined by comparing its surface displacement distributions with those of a finite element analysis. On the basis of the results, the author proposes the non-dimensional characteristic values for the Pasternak model with a simple closed-form formulation of surface displacement distributions in the case of a rigid circular foundation on an elastic layer with a finite depth. The author then discusses the accuracy of the approximate formulation and the limits of its applicability.

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Section: Comparison With Fem Solutionsmentioning

confidence: 88%

“…(16) needs a surface displacement distribution. Thus, Vallabhan et al, (1988) proposed an iterative method to solve Eqs. (6) and (15) simultaneously.…”

Section: Determination Of Parametersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Pasternak Model Formulation of Elastic Displacements in the Case of a Rigid Circular Foundation

Tanahashi

2007

Journal of Asian Architecture and Building Engineering

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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].…”

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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Kinematic response of single piles to vertically incident P‐waves

Liu

Deng

2013

Earthq Engng Struct Dyn

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SUMMARYDynamic response of single piles to seismic waves is fundamentally different from the free‐field motion because of the interaction between the pile and the surrounding soil. Considering soil–pile interaction, this paper presents a new displacement model for the steady‐state kinematic response of single piles to vertically incident P‐waves on the basis of a continuum model. The governing equations and boundary conditions of the two undetermined functions in the model are obtained to be coupled by using Hamilton's principle. Then, the two unknown functions are decoupled and solved by an iterative algorithm numerically. A parametric study is performed to investigate the effects of the properties of the soil–pile system on the kinematic response of single piles. It is shown that the effects of the pile–soil modulus ratio, the slenderness ratio of the pile, and the frequency of the incident excitations are very significant. By contrast, the influence of soil damping on the kinematics of the system is slight and can be neglected. Copyright © 2013 John Wiley & Sons, Ltd.

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Parametric Study of Beams on Elastic Foundations

Cited by 136 publications

References 3 publications

Pasternak Model Formulation of Elastic Displacements in the Case of a Rigid Circular Foundation

Pasternak Model Formulation of Elastic Displacements in the Case of a Rigid Circular Foundation

Effects of soil structure interaction on behavior of reinforced concrete structures

Kinematic response of single piles to vertically incident P‐waves

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