M. D. Kovalenko, A. P. Kerzhaev, I. V. Menshova, Yu. N. Karnet
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引用次数: 0
Abstract
A method is proposed for building exact solutions to boundary value problems of the theory of elasticity in a rectangle with stiffeners located inside a region (the inhomogeneous problem). The solutions are presented as series in Papkovich–Fadle eigenfunctions with explicitly determined coefficients. The method is based on the Papkovich orthogonality relation and the developed theory of expansions in the Papkovich–Fadle eigenfunctions in homogeneous boundary value problems of the theory of elasticity in a rectangle (the biharmonic problem). The solution sequence is demonstrated by the example of an even symmetric problem for a rectangle in which the sides are free and an external load acts along a stiffener located on the axis of symmetry of the rectangle.
期刊介绍：
Doklady Physics is a journal that publishes new research in physics of great significance. Initially the journal was a forum of the Russian Academy of Science and published only best contributions from Russia in the form of short articles. Now the journal welcomes submissions from any country in the English or Russian language. Every manuscript must be recommended by Russian or foreign members of the Russian Academy of Sciences.
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