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Dimensional analysis of structural response in complex biological structures

Author

Listed:
  • Patel, Reena R.
  • Thompson, David S.
  • Riveros, Guillermo A.
  • Hodo, Wayne D.
  • Peters, John F.
  • Acosta, Felipe J.

Abstract

The solution to many engineering problems is obtained through the combination of analytical, computational and experimental methods. In many cases, cost or size constraints limit testing of full-scale articles. Similitude allows observations made in the laboratory to be used to extrapolate the behavior to full-scale system by establishing relationships between the results obtained in a scaled experiment and those anticipated for the full-scale prototype. This paper describes the application of the Buckingham Pi theorem to develop a set of non-dimensional parameters that are appropriate for describing the problem of a distributed load applied to the rostrum of the paddlefish. This problem is of interest because previous research has demonstrated that the rostrum is a very efficient structural system. The ultimate goal is to estimate the response of a complex, bio-inspired structure based on the rostrum to blast load. The derived similitude laws are verified through a series of numerical experiments having a maximum error of 3.39%.

Suggested Citation

  • Patel, Reena R. & Thompson, David S. & Riveros, Guillermo A. & Hodo, Wayne D. & Peters, John F. & Acosta, Felipe J., 2020. "Dimensional analysis of structural response in complex biological structures," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 172(C), pages 305-320.
    • Handle: RePEc:eee:matcom:v:172:y:2020:i:c:p:305-320
    DOI: 10.1016/j.matcom.2019.12.001
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    References listed on IDEAS

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    1. Jeffrey B. Allen & Guillermo Riveros, 2013. "Hydrodynamic Characterization of the Polyodon spathula Rostrum Using CFD," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, November.
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