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Gain-scheduled H∞ buckling control of a circular beam-column subject to time-varying axial loads

Schaeffner, Maximilian ; Platz, Roland (2021)
Gain-scheduled H∞ buckling control of a circular beam-column subject to time-varying axial loads.
In: Smart Materials and Structures, 2018, 27 (6)
doi: 10.26083/tuprints-00017751
Article, Secondary publication, Postprint

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Item Type: Article
Type of entry: Secondary publication
Title: Gain-scheduled H∞ buckling control of a circular beam-column subject to time-varying axial loads
Language: English
Date: 15 April 2021
Place of Publication: Darmstadt
Year of primary publication: 2018
Publisher: IOP
Journal or Publication Title: Smart Materials and Structures
Volume of the journal: 27
Issue Number: 6
Collation: 18 Seiten
DOI: 10.26083/tuprints-00017751
Corresponding Links:
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, an approach for gain-scheduled H∞ buckling control of a slender beam-column with circular cross-section subject to time-varying axial loads is investigated experimentally. Piezo-elastic supports with integrated piezoelectric stack actuators at the beam-column ends allow an active stabilization in arbitrary lateral directions. The axial loads on the beam-column influence its lateral dynamic behavior and, eventually, cause the beam-column to buckle. A reduced modal model of the beam-column subject to axial loads including the dynamics of the electrical components is set up and calibrated with experimental data. Particularly, the linear parameter-varying open-loop plant is used to design a model-based gain-scheduled H∞ buckling control that is implemented in an experimental test setup. The beam-column is loaded by ramp- and step-shaped time-varying axial compressive loads that result in a lateral deformation of the beam-column due to imperfections, such as predeformation, eccentric loading or clamping moments. The lateral deformations and the maximum bearable loads of the beam-column are analyzed and compared for the beam-column with and without gain-scheduled H∞ buckling control or, respectively, active and passive configuration. With the proposed gain-scheduled H∞ buckling control it is possible to increase the maximum bearable load of the active beam-column by 19% for ramp-shaped axial loads and to significantly reduce the beam-column deformations for step-shaped axial loads compared to the passive structure.

Status: Postprint
URN: urn:nbn:de:tuda-tuprints-177512
Additional Information:

Accepted Manuscript

Classification DDC: 600 Technology, medicine, applied sciences > 600 Technology
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)
TU-Projects: DFG|SFB805|C2 Mechanische, mech
Date Deposited: 15 Apr 2021 09:07
Last Modified: 10 Apr 2024 10:57
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/17751
PPN: 478533438
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