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

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Model Validation and Uncertainty Quantification, Volume 3

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.

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Acknowledgements

The authors like to thank the German Research Foundation (DFG) for funding this project within the Collaborative Research Center (SFB) 805.

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Authors and Affiliations

  1. System Reliability, Adaptronics and Machine Acoustics SAM, Technische Universität Darmstadt, Magdalenenstraße 4, 64289, Darmstadt, Germany

    Maximilian Schaeffner

  2. Fraunhofer Institute for Structural Durability and System Reliability LBF, Bartningstraße 47, 64289, Darmstadt, Germany

    Roland Platz

Authors
  1. Maximilian Schaeffner
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  2. Roland Platz
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Corresponding author

Correspondence to Maximilian Schaeffner .

Editor information

Editors and Affiliations

  1. University of Sheffield, Sheffield, United Kingdom

    Robert Barthorpe

  2. Fraunhofer Institute Darmstadt, Darmstadt, Germany

    Roland Platz

  3. Lawrence Livermore National Laboratory, Livermore, California, USA

    Israel Lopez

  4. Tufts University, Medford, Massachusetts, USA

    Babak Moaveni

  5. University of Thessaly, Thessaly, Greece

    Costas Papadimitriou

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Schaeffner, M., Platz, R. (2017). Linear Parameter-Varying (LPV) Buckling Control of an Imperfect Beam-Column Subject to Time-Varying Axial Loads. In: Barthorpe, R., Platz, R., Lopez, I., Moaveni, B., Papadimitriou, C. (eds) Model Validation and Uncertainty Quantification, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54858-6_11

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  • DOI: https://doi.org/10.1007/978-3-319-54858-6_11

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54857-9

  • Online ISBN: 978-3-319-54858-6

  • eBook Packages: EngineeringEngineering (R0)

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