Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration Reduction

In this paper an active general beam vibration reduction via one actuator is considered. The optimal actuator distribution is analyzed with two methods: an exact mathematical principles and the LQ problem idea. It turned out, that the same mathematical expressions are derived. So these methods are e...

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Main Authors: Elżbieta ŻOŁOPA, Adam BRAŃSKI
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 2014-11-01
Series:Archives of Acoustics
Subjects:
Online Access:https://acoustics.ippt.pan.pl/index.php/aa/article/view/1437
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author Elżbieta ŻOŁOPA
Adam BRAŃSKI
author_facet Elżbieta ŻOŁOPA
Adam BRAŃSKI
author_sort Elżbieta ŻOŁOPA
collection DOAJ
description In this paper an active general beam vibration reduction via one actuator is considered. The optimal actuator distribution is analyzed with two methods: an exact mathematical principles and the LQ problem idea. It turned out, that the same mathematical expressions are derived. So these methods are equivalent.
format Article
id doaj-art-88e6aa134d084ca895f7478e1661c28e
institution Kabale University
issn 0137-5075
2300-262X
language English
publishDate 2014-11-01
publisher Institute of Fundamental Technological Research Polish Academy of Sciences
record_format Article
series Archives of Acoustics
spelling doaj-art-88e6aa134d084ca895f7478e1661c28e2025-08-20T03:50:44ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2014-11-0139410.2478/aoa-2014-0064Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration ReductionElżbieta ŻOŁOPAAdam BRAŃSKI0Rzeszów University of TechnologyIn this paper an active general beam vibration reduction via one actuator is considered. The optimal actuator distribution is analyzed with two methods: an exact mathematical principles and the LQ problem idea. It turned out, that the same mathematical expressions are derived. So these methods are equivalent.https://acoustics.ippt.pan.pl/index.php/aa/article/view/1437beamactuatoractive vibration reductionLQ problemsystem controlcontrol of vibration.
spellingShingle Elżbieta ŻOŁOPA
Adam BRAŃSKI
Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration Reduction
Archives of Acoustics
beam
actuator
active vibration reduction
LQ problem
system control
control of vibration.
title Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration Reduction
title_full Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration Reduction
title_fullStr Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration Reduction
title_full_unstemmed Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration Reduction
title_short Comparison of Formulas Obtained for Analytical and LQ Idea Approaches to Determine the Optimal Actuator Location in Active Multimodal Beam Vibration Reduction
title_sort comparison of formulas obtained for analytical and lq idea approaches to determine the optimal actuator location in active multimodal beam vibration reduction
topic beam
actuator
active vibration reduction
LQ problem
system control
control of vibration.
url https://acoustics.ippt.pan.pl/index.php/aa/article/view/1437
work_keys_str_mv AT elzbietazołopa comparisonofformulasobtainedforanalyticalandlqideaapproachestodeterminetheoptimalactuatorlocationinactivemultimodalbeamvibrationreduction
AT adambranski comparisonofformulasobtainedforanalyticalandlqideaapproachestodeterminetheoptimalactuatorlocationinactivemultimodalbeamvibrationreduction