 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| S.A. Nazarov and A.S. Slutskii, "Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements," Mech. Solids. 53 (S1), 101-115 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S1 |
Pages |
101-115 |
| DOI |
10.3103/S002565441803010X |
| Title |
Asymptotics of Natural Oscillations of Elastic Junctions with Readily Movable Elements |
| Author(s) |
S.A. Nazarov (St Petersburg State University, St. Petersburg, 199034 Russia; Institute for Problems in Mechanical Engineering, St. Petersburg, 110526 Russia, s.nazarov@spbu.ru)
A.S. Slutskii (St Petersburg State University, St. Petersburg, 199034 Russia; Institute for Problems in Mechanical Engineering, St. Petersburg, 110526 Russia, a.slutsky@spbu.ru) |
| Abstract |
A one-dimensional model of harmonic oscillations of a junction of several thin elastic rods
has been developed. In contrast to the classical model of a single rod, the constructed model of the
junction is not purely differential but includes new algebraic unknowns and algebraic equations evoked
by the so-called readily movable elements of the structure. The asymptotic representations have been
found for frequencies and natural modes of the elastic body oscillations and estimates of asymptotic residues have been obtained. |
| Keywords |
thin rods, elastic structure, one-dimensional model, asymptotics, frequencies of natural oscillations |
| Received |
18 March 2016 |
| Link to Fulltext |
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