Thick Plates on Elastic Foundations by Finite Elements

1976 ◽  
Vol 102 (3) ◽  
pp. 461-477
Author(s):  
Otto J. Svec
Keyword(s):  
Finite Elements ◽  
Thick Plates ◽  
Elastic Foundations

Nonlinear stability of shear deformable eccentrically stiffened functionally graded plates on elastic foundations with temperature-dependent properties

2017 ◽  
Vol 24 (3) ◽  
pp. 455-469 ◽  
Author(s):  
Pham Hong Cong ◽  
Pham Thi Ngoc An ◽  
Nguyen Dinh Duc
Keyword(s):  
Nonlinear Stability ◽  
Geometrical Nonlinearity ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Temperature Dependent ◽  
Thick Plates ◽  
Geometrical Properties ◽  
Elastic Foundations ◽  
Moderately Thick Plates ◽  
Temperature Dependent Properties

AbstractThis article investigates the nonlinear stability of eccentrically stiffened moderately thick plates made of functionally graded materials (FGM) subjected to in-plane compressive, thermo-mechanical loads. The equilibrium and compatibility equations for the moderately thick plates are derived by using the first-order shear deformation theory of plates, taking into account both the geometrical nonlinearity in the von Karman sense and initial geometrical imperfections, temperature-dependent properties with Pasternak type elastic foundations. By applying the Galerkin method and using a stress function, the effects of material and geometrical properties, temperature-dependent material properties, elastic foundations, boundary conditions, and eccentric stiffeners on the buckling and post-buckling loading capacity of the eccentrically stiffened moderately thick FGM plates in thermal environments are analyzed and discussed.

Thermomechanical bending response of FGM thick plates resting on Winkler-Pasternak elastic foundations

2013 ◽  
Vol 14 (1) ◽  
pp. 85-104 ◽  
Author(s):  
Bachir Bouderba ◽  
Mohammed Sid Ahmed Houari ◽  
Abdelouahed Tounsi
Keyword(s):  
Thick Plates ◽  
Elastic Foundations ◽  
Bending Response

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

2009 ◽  
Vol 16 (5) ◽  
pp. 439-454 ◽  
Author(s):  
Korhan Ozgan ◽  
Ayse T. Daloglu
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Degrees Of Freedom ◽  
Plate Theory ◽  
Free Vibration Analysis ◽  
Mindlin Plate ◽  
Thick Plates ◽  
Elastic Foundations ◽  
Plates On Elastic Foundation ◽  
Quadrilateral Finite Element

The Modified Vlasov Model is applied to the free vibration analysis of thick plates resting on elastic foundations. The effects of the subsoil depth, plate dimensions and their ratio, the value of the vertical deformation parameter within the subsoil on the frequency parameters of plates on elastic foundations are investigated. A four-noded, twelve degrees of freedom quadrilateral finite element (PBQ4) is used for plate bending analysis based on Mindlin plate theory which is effectively applied to the analysis of thin and thick plates when selective reduced integration technique is used. The first ten natural frequency parameters are presented in tabular and graphical forms to show the effects of the parameters considered in the study. It is concluded that the effect of the subsoil depth on the frequency parameters of the plates on elastic foundation is generally larger than that of the other parameters considered in the study.

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