Effect of transverse shear strains on plates resting on elastic foundation using modified Vlasov model

Özgan, Korhan; Daloglu, Ayse T.

doi:10.1016/j.tws.2008.02.006

Cited by 18 publications

(7 citation statements)

References 18 publications

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“…The number of points of integration for shear energy terms of plate stiffness matrix are reduced 2x2 in the selective reduced integration whereas 3x3 of Gauss points are used for both bending and shear energy terms of plate stiffness matrix in the full integration. The element stiffness matrices are given in explicit forms by reference [19] for plate element and by reference [20] for the vertical deflection of foundation and the shear deformation of foundation.…”

Section: Evaluation Of the Stiffness Matrixmentioning

confidence: 99%

Dynamic Response of Thick Plates on Two Parameter Elastic Foundation Under Time Variable Loading

Özgan

Daloglu

2014

International Journal of Engineering &Amp; Applied Sciences

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In this paper, behavior of foundation plates with transverse shear deformation under time variable loading is presented using modified Vlasov foundation model. Finite element formulation of thick plates on elastic foundation is derived by using an 8-noded finite element based on Mindlin plate theory. Selective reduced integration technique is used to avoid shear locking problem which arises when smaller plate thickness is considered for the evaluation of the stiffness matrices. After comparisons are made with the results given in the literature, the effects of the ratio of plate thickness to shorter span of the plate, aspect ratio, subsoil depth, loaded area, time variable loading type and pulse duration of impulsive load on its responses are analyzed. The results demonstrate that these parameters have significant influence on the dynamic behavior of the plate on elastic foundation.

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Section: Evaluation Of the Stiffness Matrixmentioning

confidence: 99%

Dynamic Response of Thick Plates on Two Parameter Elastic Foundation Under Time Variable Loading

Özgan

Daloglu

2014

International Journal of Engineering &Amp; Applied Sciences

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“…The number of points of integration for shear energy terms of stiffness matrix is reduced one step for both of the beam and the plate element. The element stiffness matrices are given in explicit forms by Ozgan [13] for the plate element and by Ozgan and Daloglu [10] for the vertical deflection and the shear deformation of the foundation.…”

Section: Evaluation Of the Stiffness Matrixmentioning

confidence: 99%

“…The effect of the infinite soil domain outside the plate is applied as equivalent stiffness parameters on the plate boundaries in the modified Vlasov model. Equivalent forces due to surrounding soil domain on the boundary of the plate are computed as a function of the displacement on the boundary [10,12].…”

Section: Evaluation Of the Stiffness Matrixmentioning

confidence: 99%

“…Ozgan and Daloglu [10] studied the effects of transverse shear strain on plates resting on elastic foundation. They compared 4 node and 8 node Mindlin plate element with both of full (FI) and selective reduced integration (SRI) technique in the study and the results showed that 8-node element (SRI) was more reliable than 8 node (FI), 4-node (FI) and 4-node (SRI) elements for analyzing thin and thick plates on elastic foundation under any type of load cases and boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Analysis of Thick Plates Including Deep Beams on Elastic Foundations Using Modified Vlasov Model

Özgan

2013

Shock and Vibration

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Dynamic analysis of foundation plate-beam systems with transverse shear deformation is presented using modified Vlasov foundation model. Finite element formulation of the problem is derived by using an 8-node (PBQ8) finite element based on Mindlin plate theory for the plate and a 2-node Hughes element based on Timoshenko beam theory for the beam. Selective reduced integration technique is used to avoid shear locking problem for the evaluation of the stiffness matrices for both the elements. The effect of beam thickness, the aspect ratio of the plate and subsoil depth on the response of plate-beam-soil system is analyzed. Numerical examples show that the displacement, bending moments and shear forces are changed significantly by adding the beams.

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“…Liu [9] has developed a differential quadrature method to solve the bending problems of thick rectangular plates resting on Winkler's foundation. Ozgan and Daloglu [10] have adopted the Mindlin's plate elements for modeling the thin and the thick plates resting on elastic foundation using modified Vlasov's model.…”

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confidence: 99%

Bending of orthotropic plates resting on Pasternak’s foundations using mixed shear deformation theory

Zenkour

2011

Acta Mech Sin

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The mixed first-order shear deformation plate theory (MFPT) is employed to study the bending response of simply-supported orthotropic plates. The present plate is subjected to a mechanical load and resting on Pasternak's model or Winkler's model of elastic foundation or without any elastic foundation. Several examples are presented to verify the accuracy of the present theory. Numerical results for deflection and stresses are presented. The proposed MFPT is shown simplely to implement and capable of giving satisfactory results for shear deformable plates under static loads and resting on two-parameter elastic foundation. The results presented here show that the characteristics of deflection and stresses are significantly influenced by the elastic foundation stiffness, plate aspect ratio and side-to-thickness ratio.

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Effect of transverse shear strains on plates resting on elastic foundation using modified Vlasov model

Cited by 18 publications

References 18 publications

Dynamic Response of Thick Plates on Two Parameter Elastic Foundation Under Time Variable Loading

Dynamic Response of Thick Plates on Two Parameter Elastic Foundation Under Time Variable Loading

Dynamic Analysis of Thick Plates Including Deep Beams on Elastic Foundations Using Modified Vlasov Model

Bending of orthotropic plates resting on Pasternak’s foundations using mixed shear deformation theory

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