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Preprints of the Keldysh Institute of Applied Mathematics, 2019, 046, 17 pp.
DOI: https://doi.org/10.20948/prepr-2019-46 (Mi ipmp2684) 		 
Examples of exact solutions for problems of bending plate with free face planes

E. M. Zveryaev, M. D. Kovalenko, D. A. Abrukov, I. V. Menshova, A. P. Kerzhaev
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DOI: https://doi.org/10.20948/prepr-2019-46
Abstract: The paper discusses examples of exact solutions of the boundary problem on the bending of a thin elastic semi-infinite plate, in which the long sides are free, and at the end are self-balanced bending moment and generalized shear force are specified. The solutions are obtained in the form of the series in Papkovich–Fadle eigenfunctions. The unknown expansions coefficients are determined by formulas and are expressed via the Fourier integrals of the boundary functions specified at the plate side.
Keywords: bending, strip, plate, Papkovich–Fadle eigenfunctions, exact solutions.
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Document Type: Preprint
Language: Russian
Citation: E. M. Zveryaev, M. D. Kovalenko, D. A. Abrukov, I. V. Menshova, A. P. Kerzhaev, “Examples of exact solutions for problems of bending plate with free face planes”, Keldysh Institute preprints, 2019, 046, 17 pp.
Citation in format AMSBIB
\Bibitem{ZveKovAbr19}
\by E.~M.~Zveryaev, M.~D.~Kovalenko, D.~A.~Abrukov, I.~V.~Menshova, A.~P.~Kerzhaev
\paper Examples of exact solutions for problems of bending plate with free face planes
\jour Keldysh Institute preprints
\yr 2019
\papernumber 046
\totalpages 17
\mathnet{http://mi.mathnet.ru/ipmp2684}
\crossref{https://doi.org/10.20948/prepr-2019-46}
\elib{https://elibrary.ru/item.asp?id=37596709}
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    		Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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