 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| << Previous article | Volume 55, Issue 6 / 2020 | Next article >> |
| 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 2020 | Revised |
04 June 2020 | Accepted |
15 June 2020 |
| Link to Fulltext |
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