弾性平板の静的・動的解析理論に関する二,三の考察 : Reissner理論およびMindlin理論の修正

概要

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In plate bending problems, it is well known that the effects of shear deformation on rectangular and circular plates are studied by the use of Reissner's theory, while the effects of shear deformation and rotatory inertia on dynamic rectangular and circular plates are studied by the use of Mindlin's theory. Their theories have been used with almost strict separation for the cases of static and dynamic plate problems. But, their theories are very similar for almost level of their formulation process with exceptions of difference of shear correction factors and neglection of the terms of time derivatives. The first purpose of the present paper is to propose a refined theory considering to shear deformation, rotatory inertia and thickness normal stress of plate. The second purpose of the paper is to give an account of the modification of Reissner's and Mindlin's plate theories.