Spectral properties of non-homogeneous Timoshenko beam and its controllability
Controllability of slowly rotating non-homogeneous 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 and achieve desired position. The rotor of propelling engine is in the middle of the d...
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| Дата: | 2007 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2007
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| Назва видання: | Механика твердого тела |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/27947 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Spectral properties of non-homogeneous Timoshenko beam and its controllability / G.M. Sklyar, G. Szkibiel // Механика твердого тела: Межвед. сб. науч. тр. — 2007. — Вип 37. — С. 175-183. — Бібліогр.: 16 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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dspace |
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irk-123456789-279472011-10-25T12:19:27Z Spectral properties of non-homogeneous Timoshenko beam and its controllability Sklyar, G.M. Szkibiel, G. Controllability of slowly rotating non-homogeneous 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 and achieve desired position. The rotor of propelling engine is in the middle of the disk. The movement is governed by the system of two di erential equations with non-constant coe cients: linear mass density, exural rigidity, rotational inertia and shear sti ness. To solve the problem of controllability, the spectrum of the operator generating the dynamics of the model is studied. Then the problem of controllability is reduced to the moment problem that is, in turn, solved with the use of the asymptotics of the spectrum and Ullrich Theorem. 2007 Article Spectral properties of non-homogeneous Timoshenko beam and its controllability / G.M. Sklyar, G. Szkibiel // Механика твердого тела: Межвед. сб. науч. тр. — 2007. — Вип 37. — С. 175-183. — Бібліогр.: 16 назв. — англ. 0321-1975 http://dspace.nbuv.gov.ua/handle/123456789/27947 531.38 en Механика твердого тела Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Controllability of slowly rotating non-homogeneous 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 and achieve desired position. The rotor of propelling engine is in the middle of the disk. The movement is governed by the system of two di erential equations with non-constant coe cients: linear mass density, exural rigidity, rotational inertia and shear sti ness. To solve the problem of controllability, the spectrum of the operator generating the dynamics of the model is studied. Then the problem of controllability is reduced to the moment problem that is, in turn, solved with the use of the asymptotics of the spectrum and Ullrich Theorem. |
| format |
Article |
| author |
Sklyar, G.M. Szkibiel, G. |
| spellingShingle |
Sklyar, G.M. Szkibiel, G. Spectral properties of non-homogeneous Timoshenko beam and its controllability Механика твердого тела |
| author_facet |
Sklyar, G.M. Szkibiel, G. |
| author_sort |
Sklyar, G.M. |
| title |
Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_short |
Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_full |
Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_fullStr |
Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_full_unstemmed |
Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_sort |
spectral properties of non-homogeneous timoshenko beam and its controllability |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/27947 |
| citation_txt |
Spectral properties of non-homogeneous Timoshenko beam and its controllability / G.M. Sklyar, G. Szkibiel // Механика твердого тела: Межвед. сб. науч. тр. — 2007. — Вип 37. — С. 175-183. — Бібліогр.: 16 назв. — англ. |
| series |
Механика твердого тела |
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2023-10-18T17:24:59Z |
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2023-10-18T17:24:59Z |
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