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Transforming a Simple Structure Model to Represent a Complex Dynamic System with Unknown Boundary Restraints

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Abstract

Imposing a boundary condition on a structure can significantly alter its dynamic properties. However, sometimes the specifics of the new boundary conditions are not known. When the effects of a boundary condition are uncertain or there is not enough information, engineers need to excite the complex structure to obtain these modified properties. In order to experimentally obtain the new properties, engineers need multiple experiments and many outputs for interpolation in order to sufficiently represent the entire structure. The researchers attached a stinger to a cantilever beam, acting as a new transverse restraint of unknown properties. This paper presents a conversion expression that predicts the dynamic behavior of any point in the system with the new boundary condition. This expression relies only on one impact hammer experiment with one output and the model of the stinger-free cantilever beam, referred to as the simple structure. Researchers estimated the Transfer Function (TRF) of the beam and compared it with an experimentally measured TRF to validate the method. The mean absolute error of the estimated TRF compared to the experimental TRF is 1.99 dB. This demonstrates the use of the proposed method for estimating unmeasured TRFs in a system with an uncertain boundary condition using a single input, single output (SISO) test and a model of the simple structure.

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Acknowledgments

The financial support of this research is provided by Sandia National Laboratories Grant 1985700, under Project Manager Dr. John Pott, Manager, Environments Engineering, to whom the authors are grateful. The authors of this paper want to express their gratitude as well to the critical feedback provided by Dr. Tom Paez and Norm Hunter.

Sandia National Laboratories is a multimission laboratory managed and operated by National Technology & Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International Inc., for the U.S. Department of Energy’s National Nuclear Security Administration under contract DE-NA0003525.

This paper describes objective technical results and analysis. Any subjective views or opinions that might be expressed in the paper do not necessarily represent the views of the U.S. Department of Energy or the United States Government. Conflict of Interest: The authors declare that they have no conflict of interest.

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Authors and Affiliations

  1. Department of Civil, Construction, and Environmental Engineering, University of New Mexico, Albuquerque, NM, USA

    J. Woodall

  2. Department of Mechanical Engineering, University of New Mexico, Albuquerque, NM, USA

    M. Hossain

  3. Sandia National Laboratories, Albuquerque, NM, USA

    A. Maji

  4. Department of Civil, Construction, and Environmental Engineering, University of New Mexico, MSC01 1070, 1, Albuquerque, NM, 87131, USA

    F. Moreu

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  1. J. Woodall
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Woodall, J., Hossain, M., Maji, A. et al. Transforming a Simple Structure Model to Represent a Complex Dynamic System with Unknown Boundary Restraints. Exp Tech 46, 563–574 (2022). https://doi.org/10.1007/s40799-021-00494-w

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