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Active buckling control of an imperfect beam-column with circular cross-section using piezoelastic supports and integral LQR control

Schäffner, Maximilian Frederic ; Platz, Roland (2023)
Active buckling control of an imperfect beam-column with circular cross-section using piezoelastic supports and integral LQR control.
In: Journal of Physics: Conference Series, 2016, 2016 (744)
doi: 10.26083/tuprints-00023755
Article, Secondary publication, Publisher's Version

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Item Type: Article
Type of entry: Secondary publication
Title: Active buckling control of an imperfect beam-column with circular cross-section using piezoelastic supports and integral LQR control
Language: English
Date: 2023
Place of Publication: Darmstadt
Year of primary publication: 2016
Publisher: IOP Publishing
Journal or Publication Title: Journal of Physics: Conference Series
Volume of the journal: 2016
Issue Number: 744
Collation: 12 Seiten
DOI: 10.26083/tuprints-00023755
Corresponding Links:
Origin: Secondary publication service
Abstract:

For slender beam-columns loaded by axial compressive forces, active buckling control provides a possibility to increase the maximum bearable axial load above that of a purely passive structure. In this paper, the potential of active buckling control of an imperfect beam-column with circular cross-section using piezo-elastic supports is investigated numerically. Imperfections are given by an initial deformation of the beam-column caused by a constant imperfection force. With the piezo-elastic supports, active bending moments in arbitrary directions orthogonal to the beam-column's longitudinal axis can be applied at both beam- column's ends. The imperfect beam-column is loaded by a gradually increasing axial compressive force resulting in a lateral deformation of the beam-column. First, a finite element model of the imperfect structure for numerical simulation of the active buckling control is presented. Second, an integral linear-quadratic regulator (LQR) that compensates the deformation via the piezo-elastic supports is derived for a reduced modal model of the ideal beam-column. With the proposed active buckling control it is possible to stabilize the imperfect beam-column in arbitrary lateral direction for axial loads above the theoretical critical buckling load and the maximum bearable load of the passive structure.

Status: Publisher's Version
URN: urn:nbn:de:tuda-tuprints-237551
Additional Information:

Zugleich Konferenzveröffentlichung: 13th International Conference on Motion and Vibration Control (MOVIC 2016) and the 12th International Conference on Recent Advances in Structural Dynamics (RASD 2016) 04.-06.07.2016, Southampton, UK

Classification DDC: 500 Science and mathematics > 530 Physics
600 Technology, medicine, applied sciences > 620 Engineering and machine engineering
Divisions: 16 Department of Mechanical Engineering > Research group System Reliability, Adaptive Structures, and Machine Acoustics (SAM)
Date Deposited: 25 Apr 2023 12:30
Last Modified: 22 Jun 2023 09:31
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/23755
PPN: 508949718
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