 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| A.O. Vatulyan and V.O. Yurov, "On the Maximum of the First Resonance Frequency for Inhomogeneous Elastic Bodies," Mech. Solids. 59 (4), 1949-1957 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
1949-1957 |
| DOI |
10.1134/S002565442460421X |
| Title |
On the Maximum of the First Resonance Frequency for Inhomogeneous Elastic Bodies |
| Author(s) |
A.O. Vatulyan (Vorovich Institute of Mathematics, Mechanics and Computer Science, Southern Federal University, Rostov-on-Don, 344090 Russia, aovatulyan@sfedu.ru)
V.O. Yurov (Southern Mathematical Institute, Vladikavkaz Scientific Center of Russian Academy of Sciences, Vladikavkaz, 362025 Russia, vitja.jurov@yandex.ru) |
| Abstract |
The paper considers a non-classical optimization problem associated with the development of the production of new functionally graded materials. It is proposed to optimize the first natural frequency of oscillations by choosing the law of change in elastic moduli, and not the shape, as is done
in most works devoted to optimization. This formulation of the problem becomes practically justified
with the development of 3D printing and the production of FGM ceramics with specified properties.
As an example, the problems of oscillations of a FGM rod and a FGM beam with spring boundary conditions at one of the ends are considered. |
| Keywords |
inhomogeneity, optimization, rod, oscillations |
| Received |
25 May 2024 | Revised |
08 June 2024 | Accepted |
11 June 2024 |
| Link to Fulltext |
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