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Special Topics in Structural Dynamics, Volume 6 pp 177–185Cite as

Fuzzy Arithmetical Assessment of Wave Propagation Models for Multi-Wire Cables

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Abstract

To localize damages in engineering structures, such as power lines, ultrasonic wave-based techniques are widely used for Structural Health Monitoring applications. In a cylindrical waveguide, longitudinal, flexural and torsional modes may propagate. Additionally, the wave propagation is generally of dispersive nature. Since cable structures usually consist of several smaller wires, coupling in between individual wires must also be considered. Friction contact causes energy transfer and dissipation as well as mode conversion of propagating waves. Precise transient simulation of wave propagation in multi-wire cables with common FE software results in tremendous computational costs. Therefore, recent research follows a different strategy: only power flows due to propagating waves are considered. Since these models incorporate significant simplifications, a model assessment strategy through advanced fuzzy arithmetic is applied. Uncertainty in model parameters, especially due to simplification and idealization during the modeling process, is considered as epistemic uncertainty. Therefore, the effects of uncertain model parameters represented as fuzzy numbers are investigated by simulations with the use of the Transformation Method. Different models are simulated and an inverse fuzzy arithmetical technique is used to identify parameter uncertainty based on experimentally derived data. Finally, the models’ validity is verified.

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Author information

Authors and Affiliations

  1. Institute of Applied and Experimental Mechanics, University of Stuttgart, Pfaffenwaldring 9, D-70550, Stuttgart, Germany

    Christoph Schaal

  2. Institute of Engineering and Computational Mechanics, University of Stuttgart, Pfaffenwaldring 9, D-70550, Stuttgart, Germany

    Michael Hanss

Authors
  1. Christoph Schaal
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  2. Michael Hanss
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Corresponding author

Correspondence to Christoph Schaal .

Editor information

Editors and Affiliations

  1. University of Cincinnati, Cincinnati, 45221-0018, Ohio, USA

    Randall Allemang

  2. , The Enterprise Program, Michigan Technological University, Townsend Drive 1400, Houghton, 49931, Mississippi, USA

    James De Clerck

  3. , Dept. of Mechanical Engineering, University of Massachusetts Lowell, Riverside St. 197, Lowell, 01854, Massachusetts, USA

    Christopher Niezrecki

  4. & State University, Department of Mechanical Engineering, Virginia Polytechnic Institute, Randolph Hall 114 T, Blacksburg, 24060, Virginia, USA

    Alfred Wicks

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© 2013 The Society for Experimental Mechanics, Inc.

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Schaal, C., Hanss, M. (2013). Fuzzy Arithmetical Assessment of Wave Propagation Models for Multi-Wire Cables. In: Allemang, R., De Clerck, J., Niezrecki, C., Wicks, A. (eds) Special Topics in Structural Dynamics, Volume 6. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6546-1_18

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  • DOI: https://doi.org/10.1007/978-1-4614-6546-1_18

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6545-4

  • Online ISBN: 978-1-4614-6546-1

  • eBook Packages: EngineeringEngineering (R0)

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