Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam
The controllability of a slowly rotating beam clamped to a disc is considered. It is assumed that at the beginning the beam remains at the position of rest and it is supposed to rotate by the given angle to achieve a desired position. The movement is governed by the system of two differential equati...
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| Published in: | Журнал математической физики, анализа, геометрии |
|---|---|
| Date: | 2008 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/106509 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam / G.M. Sklyar, G. Szkibiel // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 2. — С. 305-318. — Бібліогр.: 15 назв. — англ. |
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nasplib_isofts_kiev_ua-123456789-106509 |
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Sklyar, G.M. Szkibiel, G. 2016-09-29T18:12:35Z 2016-09-29T18:12:35Z 2008 Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam / G.M. Sklyar, G. Szkibiel // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 2. — С. 305-318. — Бібліогр.: 15 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106509 The controllability of a slowly rotating beam clamped to a disc is considered. It is assumed that at the beginning the beam remains at the position of rest and it is supposed to rotate by the given angle to achieve a desired position. The movement is governed by the system of two differential equations with nonhomogeneous coe cients: mass density, rotary inertia, exural rigidity and shear sti ness. The problem of controllability is reduced to the moment problem that is, in turn, solved with the use of the asymptotics of the spectrum of the operator connected with the movement. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam |
| spellingShingle |
Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam Sklyar, G.M. Szkibiel, G. |
| title_short |
Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam |
| title_full |
Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam |
| title_fullStr |
Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam |
| title_full_unstemmed |
Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam |
| title_sort |
controllability from rest to arbitrary position of the nonhomogeneous timoshenko beam |
| author |
Sklyar, G.M. Szkibiel, G. |
| author_facet |
Sklyar, G.M. Szkibiel, G. |
| publishDate |
2008 |
| language |
English |
| container_title |
Журнал математической физики, анализа, геометрии |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
The controllability of a slowly rotating beam clamped to a disc is considered. It is assumed that at the beginning the beam remains at the position of rest and it is supposed to rotate by the given angle to achieve a desired position. The movement is governed by the system of two differential equations with nonhomogeneous coe cients: mass density, rotary inertia, exural rigidity and shear sti ness. The problem of controllability is reduced to the moment problem that is, in turn, solved with the use of the asymptotics of the spectrum of the operator connected with the movement.
|
| issn |
1812-9471 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/106509 |
| citation_txt |
Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam / G.M. Sklyar, G. Szkibiel // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 2. — С. 305-318. — Бібліогр.: 15 назв. — англ. |
| work_keys_str_mv |
AT sklyargm controllabilityfromresttoarbitrarypositionofthenonhomogeneoustimoshenkobeam AT szkibielg controllabilityfromresttoarbitrarypositionofthenonhomogeneoustimoshenkobeam |
| first_indexed |
2025-12-07T21:02:05Z |
| last_indexed |
2025-12-07T21:02:05Z |
| _version_ |
1850884830606131200 |