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Experimental Path Following of Unstable Static Equilibria for Snap-Through Buckling

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Nonlinear Dynamics, Volume 1

Abstract

Understanding the potential energy surface of bistable systems is critical for predicting dynamic snap-through response. Static equilibria create peaks, valleys, and saddle points, guiding a beam or plate through its vibration. Numerical methods allow detailed study of these points, but experimental work has been more limited in scope. Unstable equilibria are not possible to observe with current experimental methods. This paper presents the design and implementation of a control system and testing apparatus able to stabilize unstable equilibria and follow unstable equilibrium paths. The results for a buckled beam with a point load at midspan are presented.

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Authors and Affiliations

  1. Department of Civil & Environmental Engineering, University of Washington, Seattle, WA, USA

    T. van Iderstein & R. Wiebe

Authors
  1. T. van Iderstein
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  2. R. Wiebe
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Corresponding author

Correspondence to T. van Iderstein .

Editor information

Editors and Affiliations

  1. Mechanical Engineering, S3L, Quartier Polytech, University of Liege, Department of Aerospace, Liege, Belgium

    Gaetan Kerschen

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© 2019 The Society for Experimental Mechanics, Inc.

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van Iderstein, T., Wiebe, R. (2019). Experimental Path Following of Unstable Static Equilibria for Snap-Through Buckling. In: Kerschen, G. (eds) Nonlinear Dynamics, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-74280-9_2

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  • DOI: https://doi.org/10.1007/978-3-319-74280-9_2

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-74279-3

  • Online ISBN: 978-3-319-74280-9

  • eBook Packages: EngineeringEngineering (R0)

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