Application of the Modified Vlasov Model to the Free Vibration Analysis of Thick Plates Resting on Elastic Foundations

Daloglu

2015

CJSMEC

The purpose of this study is to determine the effects of various parameters such as the aspect ratio, subgrade reaction modulus and thickness/span ratio on the frequency parameters of thick plates resting on Winkler-type elastic foundations. For this purpose, 4-noded (PBQ4) and 8-noded (PBQ8) Mindlin plate elements are adopted for the analysis using Winkler foundation model. Two different integration rules, namely the full integration (FI) and the selective reduced integration (SRI) techniques, are used to obtain stiffness matrix of plates. The results obtained in this study are compared with the results that are obtained by SAP2000 structural analysis software.

Section: Mathematical Modelmentioning

confidence: 99%

Free vibration analysis of thick plates resting on Winkler elastic foundation

Daloglu

2015

CJSMEC

“…It is obvious that the solution technique for γ parameter have to be an iterative procedure. More details for the modified Vlasov model can be found in references [14] and [15].…”

Section: Modified Vlasov Modelmentioning

confidence: 99%

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

International Journal of Engineering &Amp; Applied Sciences

Daloglu

2014

Self Cite

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.

“…The solution technique for γ parameter is an iterative process. More details for the modified Vlasov model can be found in references [11][12][13].…”

Section: Modified Vlasov Modelmentioning

confidence: 99%

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

2013

Shock and Vibration

Self Cite

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.