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Active buckling control of a beam-column with circular cross-section using piezo-elastic supports and integral LQR control

Schaeffner, Maximilian and Götz, Benedict and Platz, Roland (2021):
Active buckling control of a beam-column with circular cross-section using piezo-elastic supports and integral LQR control. (Postprint)
In: Smart Materials and Structures, 25 (6), IOP, ISSN 0964-1726,
DOI: 10.26083/tuprints-00017750,
[Article]

Abstract

Buckling of slender beam-columns subject to axial compressive loads represents a critical design constraint for light-weight structures. Active buckling control provides a possibility to stabilize slender beam-columns by active lateral forces or bending moments. In this paper, the potential of active buckling control of an axially loaded beam-column with circular solid cross-section by piezo-elastic supports is investigated experimentally. In the piezo-elastic supports, lateral forces of piezoelectric stack actuators are transformed into bending moments acting in arbitrary directions at the beam-column ends. A mathematical model of the axially loaded beam-column is derived to design an integral linear quadratic regulator (LQR) that stabilizes the system. The effectiveness of the stabilization concept is investigated in an experimental test setup and compared with the uncontrolled system. With the proposed active buckling control it is possible to stabilize the beam-column in arbitrary lateral direction for axial loads up to the theoretical critical buckling load of the system.

Item Type: Article
Erschienen: 2021
Creators: Schaeffner, Maximilian and Götz, Benedict and Platz, Roland
Origin: Secondary publication service
Status: Postprint
Title: Active buckling control of a beam-column with circular cross-section using piezo-elastic supports and integral LQR control
Language: English
Abstract:

Buckling of slender beam-columns subject to axial compressive loads represents a critical design constraint for light-weight structures. Active buckling control provides a possibility to stabilize slender beam-columns by active lateral forces or bending moments. In this paper, the potential of active buckling control of an axially loaded beam-column with circular solid cross-section by piezo-elastic supports is investigated experimentally. In the piezo-elastic supports, lateral forces of piezoelectric stack actuators are transformed into bending moments acting in arbitrary directions at the beam-column ends. A mathematical model of the axially loaded beam-column is derived to design an integral linear quadratic regulator (LQR) that stabilizes the system. The effectiveness of the stabilization concept is investigated in an experimental test setup and compared with the uncontrolled system. With the proposed active buckling control it is possible to stabilize the beam-column in arbitrary lateral direction for axial loads up to the theoretical critical buckling load of the system.

Journal or Publication Title: Smart Materials and Structures
Journal volume: 25
Number: 6
Publisher: IOP
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Research group System Reliability, Adaptive Structures, and Machine Acoustics (SAM)
DFG-Collaborative Research Centres (incl. Transregio)
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 805: Control of Uncertainty in Load-Carrying Structures in Mechanical Engineering
TU-Projects: DFG|SFB805|TP C7 Melz
DFG|SFB805|C2 Mechanische, mech
Date Deposited: 26 Mar 2021 14:53
DOI: 10.26083/tuprints-00017750
Official URL: https://tuprints.ulb.tu-darmstadt.de/17750
URN: urn:nbn:de:tuda-tuprints-177500
Additional Information:

Accepted Manuscript

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