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Magnetic Excitation System for Experimental Nonlinear Vibration Analysis

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Nonlinear Structures & Systems, Volume 1

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Abstract

Traditional modal shakers are generally unsuitable for direct modal testing of extremely lightweight and thin structures. For small structures, a base excitation technique may be applied but the technique has many disadvantages. In this paper, a novel magnetic excitation system is explored for obtaining linear and nonlinear modal characteristics of an extremely thin double-clamped beam. The linear modal testing uses established experimental modal analysis techniques, and a software phase-locked loop (sPLL) system is employed for nonlinear modal testing of the double-clamped beam. Comprehensive results and challenges associated with the magnetic excitation system are discussed in this paper. A comparison is also provided to highlight the advantages of a magnetic excitation over traditional modal testing based on an earlier similar work.

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References

  1. Nagesh, M.: Nonlinear modal testing and system modeling techniques. PhD dissertation, University of Cincinnati, Cincinnati (2021)

    Google Scholar 

  2. Allemang, R.J., Phillips, A.W.: The unified matrix polynomial approach to understanding modal parameter estimation: an update. In: Proceedings of the 2004 International Conference on Noise and Vibration Engineering, pp. 2373–2401. ISMA (2004)

    Google Scholar 

  3. Phillips, A.W., Allemang, R.J.: An overview of MIMO-FRF excitation/averaging/processing techniques. J. Sound Vib. 262(3), 651–675 (2003)

    Article  Google Scholar 

  4. Allemang, R.J.: UC SDRL CN-20-263-663/664 Vibrations: Experimental Modal Analysis. University of Cincinnati (2013)

    Google Scholar 

  5. Nagesh, M., Allemang, R.J., Phillips, A.W.: Challenges of characterizing geometric nonlinearity of a double-clamped thin beam using nonlinear modal testing methods. In: Nonlinear Structures & Systems, vol. 1. Conference Proceedings of the Society for Experimental Mechanics Series

    Google Scholar 

  6. Van Damme, C.I.: Model correlation and updating of geometrically nonlinear structural models using nonlinear normal modes and the multi-harmonic balance method by. PhD dissertation, University of Wisconsin-Madison (2019)

    Google Scholar 

  7. Boivin, N., Pierre, C., Shaw, S.W.: Non-linear normal modes, invariance, and modal dynamics approximations of non-linear systems. Nonlinear Dyn. 8(3), 315–346 (1995)

    Article  MathSciNet  Google Scholar 

  8. Kwarta, M., Allen, M.S.: Nonlinear normal mode estimation with near-resonant steady state inputs. Mech. Syst. Signal Process. 162(2021), 85–88 (2021)

    Google Scholar 

  9. Florian, M., et al.: Comparison Between Control-Based Continuation and Phase-Locked Loop Methods for the Identification of Backbone Curves & Nonlinear Frequency Responses Department of Mechanical and Process Engineering, Characterization Methods (1827)

    Google Scholar 

  10. Renson, L., Gonzalez-buelga, A., Barton, D.A.W., Neild, S.A.: Robust identification of backbone curves using control-based continuation. J. Sound Vib. 367, 145–158 (2016)

    Article  Google Scholar 

  11. Van Damme, C.I., Allen, M.S., Hollkamp, J.J.: Evaluating reduced order models of curved beams for random response prediction using static equilibrium paths. J. Sound Vib. 468, 115018 (2020)

    Article  Google Scholar 

  12. Müller, F., et al.: Comparison between control-based continuation and phase-locked loop methods for the identification of backbone curves and nonlinear frequency responses. Nonlinear Struct. Syst. 1, 75–78 (2021)

    Google Scholar 

  13. Baver, B.C., Phillips, A.W., Allemang, R.J., Kim, J.: Magnetic excitation and the effects on modal frequency and damping. Top. Modal Anal. Test. 10, 347–354 (2016)

    Google Scholar 

  14. Baver, B.C.: Property Identification of Viscoelastic Coatings Through Non-contact Experimental Modal Analysis. University of Cincinnati (2016)

    Google Scholar 

  15. Walker, J., Halliday, D., Resnick, R.: Fundamentals of Physics, 8th edn. Wiley, Hoboken (2008)

    MATH  Google Scholar 

  16. Pandiya, N.: Design and validation of a MIMO nonlinear vibration test rig with hardening stiffness characteristics in multiple degrees of freedom. MS thesis, University of Cincinnati, p. 133 (2017)

    Google Scholar 

  17. Nagesh, M., Allemang, R.J., Phillips, A.W.: Characterization of nonlinearities in a structure using nonlinear modal testing methods. In: Nonlinear Structures & Systems, vol. 1. Conference Proceedings of the Society for Experimental Mechanics Series

    Google Scholar 

  18. Nayfeh, A.H., Pai, P.F.: Linear and Nonlinear Structural Mechanics. Wiley (2008)

    MATH  Google Scholar 

  19. Sathyamoorthy, M.: Nonlinear Analysis of Structures. Taylor & Francis (1997)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, College of Engineering and Applied Science, University of Cincinnati, Cincinnati, OH, USA

    Mahesh Nagesh, Randall J. Allemang & Allyn W. Phillips

Authors
  1. Mahesh Nagesh
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  2. Randall J. Allemang
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  3. Allyn W. Phillips
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Corresponding author

Correspondence to Mahesh Nagesh .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Rice University, Houston, TX, USA

    Matthew R.W. Brake

  2. Department of Mechanical Engineering, Imperial College London, London, UK

    Ludovic Renson

  3. Sandia National Laboratories, Albuquerque, NM, USA

    Robert J. Kuether

  4. Department of Mechanical and Process Engineering, ETH Zürich, Zürich, Switzerland

    Paolo Tiso

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Nagesh, M., Allemang, R.J., Phillips, A.W. (2023). Magnetic Excitation System for Experimental Nonlinear Vibration Analysis. In: Brake, M.R., Renson, L., Kuether, R.J., Tiso, P. (eds) Nonlinear Structures & Systems, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-031-04086-3_39

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  • DOI: https://doi.org/10.1007/978-3-031-04086-3_39

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-04085-6

  • Online ISBN: 978-3-031-04086-3

  • eBook Packages: EngineeringEngineering (R0)

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