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Nonlinear Parameter Identification of a Mechanical Interface Based on Primary Wave Scattering

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Abstract

We study stress-wave propagation in an impulsively forced split Hopkinson bar system incorporating a threaded interface. We first consider only primary transmission and reflection and reduce the problem to a first-order, strongly nonlinear ordinary differential equation governing the displacement across the interface, called the primary-pulse model. The interface is modeled as an adjusted-Iwan element, which is characterized by matching experimental and numerical eigenfrequencies as well as primary pulse amplitudes. We find that the adjusted-Iwan element parameters are dependent on preload and impact velocity (input force). A high-order finite element model paired with the identified adjusted-Iwan element is used to simulate multiple transmissions and reflections across the interface. We find that the finite element simulation reproduces the experimental results in both the wavelet and Fourier domains, validating the identification method. Our findings demonstrate that the primary-pulse model can be used for experimental parameter identification of nonlinear interfaces in waveguides.

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Acknowledgements

This work was supported in part by the National Science Foundation Graduate Research Fellowship Program under Grant Number DGE-1144245.

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Authors and Affiliations

  1. Department of Mechanical Science and Engineering, University of Illinois, Urbana, IL, 61801, USA

    K. J. Moore & A. F. Vakakis

  2. Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    M. Kurt

  3. Department of Mechanical Engineering, University of Wisconsin at Madison, Madison, WI, 53706, USA

    M. Eriten

  4. Air Force Research Laboratory, 306 W. Eglin Blvd., Bldg. 432, Eglin AFB, Valparaiso, FL, 32542, USA

    J. C. Dodson, J. R. Foley & J. C. Wolfson

  5. Department of Aerospace Engineering, University of Illinois, Urbana, IL, 61801, USA

    D. M. McFarland & L. A. Bergman

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  1. K. J. Moore
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  2. M. Kurt
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  4. J. C. Dodson
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  8. L. A. Bergman
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  9. A. F. Vakakis
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Correspondence to K. J. Moore.

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Moore, K.J., Kurt, M., Eriten, M. et al. Nonlinear Parameter Identification of a Mechanical Interface Based on Primary Wave Scattering. Exp Mech 57, 1495–1508 (2017). https://doi.org/10.1007/s11340-017-0320-0

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  • DOI: https://doi.org/10.1007/s11340-017-0320-0

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