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Spectral properties of non-homogeneous Timoshenko beam and its controllability

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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Main Authors: Sklyar, G.M., Szkibiel, G.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2007
Series:Механика твердого тела
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/27947
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spelling 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
work_keys_str_mv AT sklyargm spectralpropertiesofnonhomogeneoustimoshenkobeamanditscontrollability
AT szkibielg spectralpropertiesofnonhomogeneoustimoshenkobeamanditscontrollability
first_indexed 2023-10-18T17:24:59Z
last_indexed 2023-10-18T17:24:59Z
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