Sliding Mode Control for Semi-Active Damping of Vibrations Using on/off Viscous Structural Nodes

Structural vibrations have adverse effects and can lead to catastrophic failures. Among various methods for mitigation of vibrations, the semi-active control approaches have the advantage of not requiring a large external power supply. In this paper, we propose and test a sliding mode control method...

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Main Authors: Mariusz Ostrowski, Aleksandra Jedlińska, Błażej Popławski, Bartlomiej Blachowski, Grzegorz Mikułowski, Dominik Pisarski, Łukasz Jankowski
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Buildings
Subjects:
Online Access:https://www.mdpi.com/2075-5309/13/2/348
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author Mariusz Ostrowski
Aleksandra Jedlińska
Błażej Popławski
Bartlomiej Blachowski
Grzegorz Mikułowski
Dominik Pisarski
Łukasz Jankowski
author_facet Mariusz Ostrowski
Aleksandra Jedlińska
Błażej Popławski
Bartlomiej Blachowski
Grzegorz Mikułowski
Dominik Pisarski
Łukasz Jankowski
author_sort Mariusz Ostrowski
collection DOAJ
description Structural vibrations have adverse effects and can lead to catastrophic failures. Among various methods for mitigation of vibrations, the semi-active control approaches have the advantage of not requiring a large external power supply. In this paper, we propose and test a sliding mode control method for the semi-active mitigation of vibrations in frame structures. The control forces are generated in a purely dissipative manner by means of on/off type actuators that take the form of controllable structural nodes. These nodes are essentially lockable hinges, modeled as viscous dampers, which are capable of the on/off control of the transmission of bending moments between the adjacent beams. The control aim is formulated in terms of the displacement of a selected degree of freedom. A numerically effective model of such a node is developed, and the proposed control method is verified in a numerical experiment of a four-story shear structure subjected to repeated random seismic excitations. In terms of the root-mean-square displacement, the control reduced the response by 48.4–78.4% on average, depending on the number and placement of the applied actuators. The peak mean amplitude at the first mode of natural vibrations was reduced by as much as 70.6–96.5%. Such efficiency levels confirm that the proposed control method can effectively mitigate vibrations in frame structures.
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spelling doaj.art-cb7c0e0df52d49ce987de7c25582db592023-11-16T19:31:20ZengMDPI AGBuildings2075-53092023-01-0113234810.3390/buildings13020348Sliding Mode Control for Semi-Active Damping of Vibrations Using on/off Viscous Structural NodesMariusz Ostrowski0Aleksandra Jedlińska1Błażej Popławski2Bartlomiej Blachowski3Grzegorz Mikułowski4Dominik Pisarski5Łukasz Jankowski6Institute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, PolandInstitute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, PolandInstitute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, PolandInstitute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, PolandInstitute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, PolandInstitute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, PolandInstitute of Fundamental Technological Research, Polish Academy of Sciences, 02-106 Warsaw, PolandStructural vibrations have adverse effects and can lead to catastrophic failures. Among various methods for mitigation of vibrations, the semi-active control approaches have the advantage of not requiring a large external power supply. In this paper, we propose and test a sliding mode control method for the semi-active mitigation of vibrations in frame structures. The control forces are generated in a purely dissipative manner by means of on/off type actuators that take the form of controllable structural nodes. These nodes are essentially lockable hinges, modeled as viscous dampers, which are capable of the on/off control of the transmission of bending moments between the adjacent beams. The control aim is formulated in terms of the displacement of a selected degree of freedom. A numerically effective model of such a node is developed, and the proposed control method is verified in a numerical experiment of a four-story shear structure subjected to repeated random seismic excitations. In terms of the root-mean-square displacement, the control reduced the response by 48.4–78.4% on average, depending on the number and placement of the applied actuators. The peak mean amplitude at the first mode of natural vibrations was reduced by as much as 70.6–96.5%. Such efficiency levels confirm that the proposed control method can effectively mitigate vibrations in frame structures.https://www.mdpi.com/2075-5309/13/2/348semi-active controlsliding mode controlstructural controlcontrollable nodeson/off nodesdamping of vibrations
spellingShingle Mariusz Ostrowski
Aleksandra Jedlińska
Błażej Popławski
Bartlomiej Blachowski
Grzegorz Mikułowski
Dominik Pisarski
Łukasz Jankowski
Sliding Mode Control for Semi-Active Damping of Vibrations Using on/off Viscous Structural Nodes
Buildings
semi-active control
sliding mode control
structural control
controllable nodes
on/off nodes
damping of vibrations
title Sliding Mode Control for Semi-Active Damping of Vibrations Using on/off Viscous Structural Nodes
title_full Sliding Mode Control for Semi-Active Damping of Vibrations Using on/off Viscous Structural Nodes
title_fullStr Sliding Mode Control for Semi-Active Damping of Vibrations Using on/off Viscous Structural Nodes
title_full_unstemmed Sliding Mode Control for Semi-Active Damping of Vibrations Using on/off Viscous Structural Nodes
title_short Sliding Mode Control for Semi-Active Damping of Vibrations Using on/off Viscous Structural Nodes
title_sort sliding mode control for semi active damping of vibrations using on off viscous structural nodes
topic semi-active control
sliding mode control
structural control
controllable nodes
on/off nodes
damping of vibrations
url https://www.mdpi.com/2075-5309/13/2/348
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AT aleksandrajedlinska slidingmodecontrolforsemiactivedampingofvibrationsusingonoffviscousstructuralnodes
AT błazejpopławski slidingmodecontrolforsemiactivedampingofvibrationsusingonoffviscousstructuralnodes
AT bartlomiejblachowski slidingmodecontrolforsemiactivedampingofvibrationsusingonoffviscousstructuralnodes
AT grzegorzmikułowski slidingmodecontrolforsemiactivedampingofvibrationsusingonoffviscousstructuralnodes
AT dominikpisarski slidingmodecontrolforsemiactivedampingofvibrationsusingonoffviscousstructuralnodes
AT łukaszjankowski slidingmodecontrolforsemiactivedampingofvibrationsusingonoffviscousstructuralnodes