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...
Збережено в:
| Дата: | 2008 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2008
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106509 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-106509 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1065092016-09-30T03:02:55Z Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam Sklyar, G.M. Szkibiel, G. 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. 2008 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106509 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Sklyar, G.M. Szkibiel, G. |
| spellingShingle |
Sklyar, G.M. Szkibiel, G. Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam Журнал математической физики, анализа, геометрии |
| author_facet |
Sklyar, G.M. Szkibiel, G. |
| author_sort |
Sklyar, G.M. |
| title |
Controllability from Rest to Arbitrary Position of the Nonhomogeneous Timoshenko Beam |
| 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 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
AT sklyargm controllabilityfromresttoarbitrarypositionofthenonhomogeneoustimoshenkobeam AT szkibielg controllabilityfromresttoarbitrarypositionofthenonhomogeneoustimoshenkobeam |
| first_indexed |
2023-10-18T20:13:06Z |
| last_indexed |
2023-10-18T20:13:06Z |
| _version_ |
1796149283495346176 |