Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2020-6pp.907-917

Archive of Issues

Total articles in the database: 4918
In Russian (. . ): 2350
In English (Mech. Solids): 2568

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Vatulyan A.O. and Yurov V.O., "On the Determination of the Mechanical Characteristics of Rod Elements Made of Functionally Graded Materials," Mech. Solids. 55 (6), 907-917 (2020)
Year 2020 Volume 55 Number 6 Pages 907-917
DOI 10.3103/S0025654420660036
Title On the Determination of the Mechanical Characteristics of Rod Elements Made of Functionally Graded Materials
Author(s) Vatulyan A.O. (Southern Federal University, Rostov-on-Don, 344006 Russia; Southern Mathematical Institute - the Affiliate of Vladikavkaz Scientific Center of Russian Academy of Sciences, Vladikavkaz, 362025 Russia, vatulyan@aaanet.ru)
Yurov V.O. (Southern Federal University, Rostov-on-Don, 344006 Russia; Southern Mathematical Institute - the Affiliate of Vladikavkaz Scientific Center of Russian Academy of Sciences, Vladikavkaz, 362025 Russia, vitja.jurov@yandex.ru)
Abstract The determining problem of the variable characteristics of an elastic rod made of a functionally graded material based on acoustic sounding data is considered. The amplitude-frequency characteristics of the rod during longitudinal and bending vibrations are used as additional information. A system of nonlinear integral equations is derived, the solution of which is based on an iterative scheme. The conditions under which the reconstruction is carried out in a unique way are presented. The results of computational experiments are discussed.
Keywords inverse problem, beam, inhomogeneity, uniqueness, iterative process, computational experiment, weak formulation, integral equations of the first kind
Received 15 May 2020Revised 04 June 2020Accepted 15 June 2020
Link to Fulltext https://link.springer.com/article/10.3103/S0025654420660036
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