Rectangular mindlin plates on elastic foundations

Rectangular mindlin plates on elastic foundations

Rectangular plates on Winkler foundations are analysed on the basis of Mindlin's thick plate theory. The plates are simply supported on the two opposite edges and the other two edges may be arbitrarily restrained, e.g. simply supported, clamed or free. Solutions are presented in the Levytype si...

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Veröffentlicht in:International journal of mechanical sciences 1989, Vol.31 (9), p.679-692
Hauptverfasser: Kobayashi, Harutoshi, Sonoda, Keiichiro
Format: Artikel
Sprache:eng
Schlagworte:
deflection
elasticity
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
numerical analysis
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
supports
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creator Kobayashi, Harutoshi
Sonoda, Keiichiro
description Rectangular plates on Winkler foundations are analysed on the basis of Mindlin's thick plate theory. The plates are simply supported on the two opposite edges and the other two edges may be arbitrarily restrained, e.g. simply supported, clamed or free. Solutions are presented in the Levytype single series forms, of which forms must be distinguished into three different forms depending upon the properties of plate materials and the modulus of foundation. The effects of shear deformation are first showed numerically for the deflections and strees resultants at major points of the plate. Furthermore, the twisting moment and shear force distributions along the edges and centre lines of the plate are illustrated graphically to demonstrate the principal difference between Mindlin's plate theory and classical thin plate theory.
doi_str_mv 10.1016/S0020-7403(89)80003-7
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The plates are simply supported on the two opposite edges and the other two edges may be arbitrarily restrained, e.g. simply supported, clamed or free. Solutions are presented in the Levytype single series forms, of which forms must be distinguished into three different forms depending upon the properties of plate materials and the modulus of foundation. The effects of shear deformation are first showed numerically for the deflections and strees resultants at major points of the plate. 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subjects deflection
elasticity
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
numerical analysis
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
supports
title Rectangular mindlin plates on elastic foundations
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