Abstract

The general problem of the bending and stretching of two elastically coupled circular plates on elastic foundation subjected to axisymmetric thermal and static loadings is defined and solved exactly. Coupling between in-plane and out-of-plane deformation is considered as well as the arbitrary location of the points of fixity of the coupling elements with respect to the plate middle surfaces. Stiffness matrices of the coupling and the foundation elements introduced in the definition of the strain energy allow any desired degree of sophistication when evaluating the compliance of these elements. The general decoupled solution, together with a number of special cases of practical importance, is also given. The equations for the computer programming of the general solution are included. The solution is well suited for the analysis of core support plates of nuclear reactor pressure vessels as well as to the closely spaced double tube sheet heat exchangers of nuclear submarines.

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