Электронный архив

Transmission of sound waves through a rectangular plate supported by a system of cross ribs

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dc.contributor.author Gazizullin R.
dc.contributor.author Paimushin V.
dc.date.accessioned 2018-04-05T07:10:12Z
dc.date.available 2018-04-05T07:10:12Z
dc.date.issued 2017
dc.identifier.issn 1995-0802
dc.identifier.uri http://dspace.kpfu.ru/xmlui/handle/net/130273
dc.description.abstract © 2017, Pleiades Publishing, Ltd. The stationary monoharmonic sound wave transmission through a thin plate of infinite extent, supported by a system of cross ribs on both sides is studied. It is assumed that the cross ribs are arranged with uniform steps along axes of Cartesian coordinate system related to the median plane of the plate and at the points of intersection centerlines plate rests on the ribs of finite length. Transverse loads acting on the plate cause only tension-compression deformation state on the ribs at zero displacement of their end sections. On cell of periodicity cut from the plate, concerned acousto-elasticity problem is formulated, which describes the interaction of the plate with acoustic environments located on both sides in the corresponding half-spaces. Dynamic deformation of the plate is described by the linearized equations of the classical theory of plates based on Kirchhoff–Love hypothesis, which take into account the internal friction of plate’s and reinforcing ribs material by Thomson–Kelvin–Voigt hysteresis model, and the motion of acoustic environments—by well-known wave equations. On the basis of the Ritz method using trigonometric basis functions at the exact satisfaction of the periodicity conditions of solutions on the boundary points of the periodicity cell and in its corner points—the conditions of compatibility of strains of the plate and support ribs, exact analytical solution of the problem is constructed. It is shown that the plate of this class at frequencies that do not coincide with the resonance is characterized by less than the value of sound insulation parameter than simply supported at all edges rectangular plate, and introducing reinforcing ribs into the mechanical system and increasing their rigidity leads to a significant change in the resonance frequencies and the dependencies of the parameters of stress-strain state and sound insulation of plates on the incident sound wave frequency.
dc.relation.ispartofseries Lobachevskii Journal of Mathematics
dc.subject acoustic parameter
dc.subject frequency
dc.subject incident
dc.subject Kirchhoff–Love model
dc.subject periodicity cell
dc.subject reflected and emitted sound waves
dc.subject reinforcing ribs
dc.subject Ritz method
dc.subject stress-strain state
dc.subject the analytic solution of the problem
dc.subject Thin plate
dc.subject Thomson–Kelvin–Voigt hysteresis model
dc.subject trigonometric basis functions
dc.subject wave equation
dc.title Transmission of sound waves through a rectangular plate supported by a system of cross ribs
dc.type Article
dc.relation.ispartofseries-issue 5
dc.relation.ispartofseries-volume 38
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 794
dc.source.id SCOPUS19950802-2017-38-5-SID85029753960


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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