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Linear Parameter-Varying (LPV) Buckling Control of an Imperfect Beam-Column Subject to Time-Varying Axial Loads

Schaeffner, Maximilian ; Platz, Roland (2021):
Linear Parameter-Varying (LPV) Buckling Control of an Imperfect Beam-Column Subject to Time-Varying Axial Loads. (Postprint)
In: Conference Proceedings of the Society for Experimental Mechanics Series, Volume 3, In: Model Validation and Uncertainty Quantification, pp. 103-112,
Darmstadt, Springer, ISBN 978-3-319-54858-6,
DOI: 10.26083/tuprints-00017752,
[Conference or Workshop Item]

Abstract

In this paper, active buckling control of an imperfect slender beam-column with circular cross-section by piezo-elastic supports and Linear Parameter-Varying (LPV) control is investigated experimentally. The beam-column is loaded by a time-varying axial compressive load resulting in a lateral deflection of the beam-column due to imperfections. A finite element model of the beam-column under axial load is designed as an LPV system. A reduced and augmented modal model is used to design a quadratically stable gain scheduled LPV control. The control is implemented in an experimental test setup and the maximum bearable loads of the beam-column are obtained. Two cases are tested: with and without LPV control or, respectively, active and passive configuration. With the proposed active LPV buckling control it is possible to compensate the influence of beam-column imperfections and to compensate uncertainty in mounting and loading that in passive configuration without LPV control may lead to early buckling. Eventually, the maximum bearable axial compressive load is increased above the theoretical critical buckling load.

Item Type: Conference or Workshop Item
Erschienen: 2021
Creators: Schaeffner, Maximilian ; Platz, Roland
Status: Postprint
Title: Linear Parameter-Varying (LPV) Buckling Control of an Imperfect Beam-Column Subject to Time-Varying Axial Loads
Language: English
Abstract:

In this paper, active buckling control of an imperfect slender beam-column with circular cross-section by piezo-elastic supports and Linear Parameter-Varying (LPV) control is investigated experimentally. The beam-column is loaded by a time-varying axial compressive load resulting in a lateral deflection of the beam-column due to imperfections. A finite element model of the beam-column under axial load is designed as an LPV system. A reduced and augmented modal model is used to design a quadratically stable gain scheduled LPV control. The control is implemented in an experimental test setup and the maximum bearable loads of the beam-column are obtained. Two cases are tested: with and without LPV control or, respectively, active and passive configuration. With the proposed active LPV buckling control it is possible to compensate the influence of beam-column imperfections and to compensate uncertainty in mounting and loading that in passive configuration without LPV control may lead to early buckling. Eventually, the maximum bearable axial compressive load is increased above the theoretical critical buckling load.

Title of Book: Model Validation and Uncertainty Quantification
Series Name: Conference Proceedings of the Society for Experimental Mechanics Series
Volume: Volume 3
Place of Publication: Darmstadt
Publisher: Springer
ISBN: 978-3-319-54858-6
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Research group System Reliability, Adaptive Structures, and Machine Acoustics (SAM)
16 Department of Mechanical Engineering > Research group System Reliability, Adaptive Structures, and Machine Acoustics (SAM) > Development, modelling, evaluation, and use of smart structure components and systems
16 Department of Mechanical Engineering > Research group System Reliability, Adaptive Structures, and Machine Acoustics (SAM) > Characterization, evaluation, and control of the reliability of mechanical systems
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|C2 Mechanische, mech
Date Deposited: 04 Jun 2021 07:18
DOI: 10.26083/tuprints-00017752
Official URL: https://tuprints.ulb.tu-darmstadt.de/17752
URN: urn:nbn:de:tuda-tuprints-177520
Additional Information:

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