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KIAM Preprint № 46, Moscow, 2019
Authors: Zveryayev E.M., Kovalenko M.D., Abrukov D.A., Menshova I.V., Kerzhaev A.P.
Examples of exact solutions for problems of bending plate with free face planes
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–Fadl eigenfunctions, exact solutions
Publication language: russian,  pages: 17
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Zveryayev Evgeny Mihajlovich,  orcid.org/0000-0001-8097-6684KIAM RAS
  • Kovalenko Mikhail Denisovich,  orcid.org/0000-0002-3874-2750,  Институт теории прогноза землетрясений и математической геофизики Российской академии наук (ИТПЗ РАН)
  • Abrukov Denis Aleksandrovich,  orcid.org/0000-0001-6929-6995,  Чувашский государственный педагогический университет им. И. Я. Яковлева
  • Menshova Irina Vladimirovna,  orcid.org/0000-0002-5888-449X,  Институт теории прогноза землетрясений и математической геофизики Российской академии наук (ИТПЗ РАН)
  • Kerzhaev Alexander Petrovich,  orcid.org/0000-0002-8499-3753,  Институт теории прогноза землетрясений и математической геофизики Российской академии наук (ИТПЗ РАН)