The derivation of the equilibrium and motion equations for reinforced plates and shells taking into account the discrete arrangement of the ribs is the subject of numerous studies [5–8,217,218]. One can conclude on the basis of the corresponding results that a 3D theory of elasticity is needed for the correct description of the plate (shell) behavior in the vicinity of the rib and shell ends.. Out of these narrow regions the results obtained for different contact hypotheses coincide if the width of the rib is not large compared to the thickness of the plate (shell). There fore, the line contact approximation will be explored further. The ribs themselves are treated in the framework of the Kirchhoff-Clebsch hypotheses.
KeywordsElastic Foundation Circular Plate Flexural Vibration Torsion Rigidity Conjugation Condition
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