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Pires F, Avril S, Vanlanduit S, et al. Structural intensity assessment on shells via a finite element approximation. J Acoust Soc Am. 2019;145(1):312doi: 10.1121/1.5087564.
Pires, F., Avril, S., Vanlanduit, S., & Dirckx, J. (2019). Structural intensity assessment on shells via a finite element approximation. The Journal of the Acoustical Society of America, 145(1), 312. https://doi.org/10.1121/1.5087564
Pires, Felipe, et al. "Structural intensity assessment on shells via a finite element approximation." The Journal of the Acoustical Society of America vol. 145,1 (2019): 312. doi: https://doi.org/10.1121/1.5087564
Pires F, Avril S, Vanlanduit S, Dirckx J. Structural intensity assessment on shells via a finite element approximation. J Acoust Soc Am. 2019 Jan;145(1):312. doi: 10.1121/1.5087564. PMID: 30710965.
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J Acoust Soc Am. 2019 Jan;145(1):312. doi: 10.1121/1.5087564.

Structural intensity assessment on shells via a finite element approximation.

The Journal of the Acoustical Society of America

Felipe Pires, Stéphane Avril, Steve Vanlanduit, Joris Dirckx

Affiliations

  1. Department of Physics, University of Antwerp, Groenenborgerlaan 171, Antwerp 2020, Belgium.
  2. Mines Saint-Étienne, Université Lyon, INSERM, U 1059 Sainbiose, Centre CIS, F, Saint-Étienne 42023, France.
  3. Department of Electromechanical Engineering, University of Antwerp, Groenenborgerlaan 171, Antwerp 2020, Belgium.

PMID: 30710965 DOI: 10.1121/1.5087564

Abstract

Structural intensity on plates or shells can provide insights on how the vibrational energy is transmitted throughout a sample. Its assessment via experimental deflections are widely documented in the case of plates, which just requires the computation of spatial derivatives of out-of-plane displacements or velocities and a knowledge of the sample's material properties. However, if the structural intensity is to be assessed on arbitrary shells, a more elaborate data processing is required. The in-plane displacements become relevant terms and the spatial derivatives along a predefined local coordinate system need to be computed. Here, a method from which experimental data is interpolated on a finite element mesh is proposed. First, the global displacements and shape of a sample's outer-surface are measured. These data are then projected on a quadratic mesh, where the Kirchhoff plate theory is invoked for the individual elements. The data differentiation is computed via quadratic shape functions, from which the strains and structural intensity are estimated. Through the obtained vibrational energy results on the basis of measured displacement and shape data and by validating the method via a numerical simulation, the proposed work has shown to be a reliable tool to assess energy transmission on irregular shells.

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