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Analytical Solutions to the 3D Problem on Free Vibrations of an Orthotropic Cuboid with Free Faces

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dc.contributor.author Paimushin V.
dc.contributor.author Polyakova T.
dc.date.accessioned 2020-01-15T21:17:16Z
dc.date.available 2020-01-15T21:17:16Z
dc.date.issued 2019
dc.identifier.issn 0191-5665
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/155536
dc.description.abstract © 2019, Springer Science+Business Media, LLC, part of Springer Nature. Analytical solutions of the problem on free vibrations of an orthotropic cuboid with free faces, based on the use of trigonometric functions as base ones in all three directions, are constructed. It is established that the solutions obtained describe the purely shearless vibration modes occurring in the body considered at particular ratios between its faces and physicomechanical characteristics of its material. It is shown that, on passing to the zero harmonics in one or two directions, or at zero values of six or all Poisson ratios, the solutions constructed are reduced to the equations corresponding to the classical theory of plates or rods. It is established that, at certain geometrical and physicomechanical parameters, the body considered can have natural frequencies much lower than the known ones.
dc.relation.ispartofseries Mechanics of Composite Materials
dc.subject analytical solutions
dc.subject classical models of rods and plates
dc.subject cuboid
dc.subject free faces
dc.subject free vibrations
dc.subject orthotropic material
dc.subject three dimensional trigonometric functions
dc.subject three-dimensional equations
dc.subject vibration frequencies and modes
dc.title Analytical Solutions to the 3D Problem on Free Vibrations of an Orthotropic Cuboid with Free Faces
dc.type Article
dc.relation.ispartofseries-issue 5
dc.relation.ispartofseries-volume 55
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 575
dc.source.id SCOPUS01915665-2019-55-5-SID85076342610


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  • Публикации сотрудников КФУ Scopus [22633]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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