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Robust Stability and Performance Analysis for Multi-actuator Real-Time Hybrid Substructuring

  • Conference paper
Dynamics of Coupled Structures, Volume 4

Abstract

Real-time hybrid substructuring (RTHS) is a relatively new method of vibration testing for characterizing the system-level performance of physical components or substructures. With RTHS, the coupled system is partitioned into physical and numerical substructures and interfaced together in real-time as cyber-physical system similar to hardware-in-the-loop testing. Control actuation and sensing is used to enforce the compatibility and equilibrium conditions between the physical and numerical substructures. Since RTHS involves a feedback loop, the frequency-dependent magnitude and inherent time delay of the actuator dynamics can introduce inaccuracy and instability. This paper presents a robust stability and performance analysis method for multi-actuator RTHS based on robust stability theory for multiple-input-multiple-output (MIMO) feedback control. This analysis method involves casting the actuator dynamics as a multiplicative uncertainty and applying the small gain theorem to derive the sufficient conditions for robust stability and performance. The attractive feature of this robust stability and performance analysis method is that it accommodates linearized modeled or measured frequency response functions for both the physical substructure and actuator dynamics.

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Acknowledgments

The work is supported by the Office of Naval Research under project DOD/NAVY/ONR, Award No. N00014-11-1-0260, Program Director: Deborah Nalchajian.

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, University of Connecticut, 261 Glenbrook Road Unit 3037, Storrs, CT, 06269-3037, USA

    Rui M. Botelho & Richard E. Christenson

Authors
  1. Rui M. Botelho
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  2. Richard E. Christenson
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Corresponding author

Correspondence to Rui M. Botelho .

Editor information

Editors and Affiliations

  1. Engineering Physics Department, University of Wisconsin Madison, Madison, Wisconsin, USA

    Matt Allen

  2. Sandia National Laboratories, Albuquerque, New Mexico, USA

    Randall L. Mayes

  3. Lehrstuhl fur Angewandte Mechanik, Technische Universitat Munchen, Garching, Germany

    Daniel J. Rixen

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© 2015 The Society for Experimental Mechanics, Inc.

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Botelho, R.M., Christenson, R.E. (2015). Robust Stability and Performance Analysis for Multi-actuator Real-Time Hybrid Substructuring. In: Allen, M., Mayes, R., Rixen, D. (eds) Dynamics of Coupled Structures, Volume 4. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-15209-7_1

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  • DOI: https://doi.org/10.1007/978-3-319-15209-7_1

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-15208-0

  • Online ISBN: 978-3-319-15209-7

  • eBook Packages: EngineeringEngineering (R0)

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