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Inverse viscoelastic material characterization using POD reduced-order modeling in acoustic-structure interaction

Publication ,  Journal Article
Brigham, JC; Aquino, W
Published in: Computer Methods in Applied Mechanics and Engineering
February 15, 2009

A strategy is presented for applying the proper orthogonal decomposition (POD) technique for model reduction in computational inverse solution strategies for viscoelastic material characterization. POD is used to derive a basis of optimal dimension from a selection of possible solution fields which are generated through a traditional acoustic-structure interaction finite element model for a given vibroacoustic experiment. The POD bases are applied with the Galerkin weak-form finite element method to create a reduced-order numerical model with decreased computational cost, but which still maintains accuracy close to that of the original full-order finite element model. The reduced-order model is then combined with a global optimization technique to identify estimates to the viscoelastic material properties of a fluid immersed solid from vibroacoustic tests. A strategy is also presented to select the viscoelastic parameters of the initial full-order analyses used to create the POD bases. The selection process is shown through an example to maximize the generalization capabilities of the reduced-order model over the material search space for a minimal number of full-order analyses. Two examples are then presented in which the parameters of rheological viscoelastic models are identified for solids immersed in water, which are subject to a steady-state harmonic pressure while the acoustic response is measured at a point in the surrounding fluid. The POD reduced-order models were able to generalize over the material search domains for the inverse problems. Therefore, the reduced-order solution strategy was capable of identifying accurate estimates to the viscoelastic behavior of the solids with minimal computational expense. © 2008 Elsevier B.V. All rights reserved.

Duke Scholars

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

February 15, 2009

Volume

198

Issue

9-12

Start / End Page

893 / 903

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Brigham, J. C., & Aquino, W. (2009). Inverse viscoelastic material characterization using POD reduced-order modeling in acoustic-structure interaction. Computer Methods in Applied Mechanics and Engineering, 198(9–12), 893–903. https://doi.org/10.1016/j.cma.2008.10.018
Brigham, J. C., and W. Aquino. “Inverse viscoelastic material characterization using POD reduced-order modeling in acoustic-structure interaction.” Computer Methods in Applied Mechanics and Engineering 198, no. 9–12 (February 15, 2009): 893–903. https://doi.org/10.1016/j.cma.2008.10.018.
Brigham JC, Aquino W. Inverse viscoelastic material characterization using POD reduced-order modeling in acoustic-structure interaction. Computer Methods in Applied Mechanics and Engineering. 2009 Feb 15;198(9–12):893–903.
Brigham, J. C., and W. Aquino. “Inverse viscoelastic material characterization using POD reduced-order modeling in acoustic-structure interaction.” Computer Methods in Applied Mechanics and Engineering, vol. 198, no. 9–12, Feb. 2009, pp. 893–903. Scopus, doi:10.1016/j.cma.2008.10.018.
Brigham JC, Aquino W. Inverse viscoelastic material characterization using POD reduced-order modeling in acoustic-structure interaction. Computer Methods in Applied Mechanics and Engineering. 2009 Feb 15;198(9–12):893–903.
Journal cover image

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

February 15, 2009

Volume

198

Issue

9-12

Start / End Page

893 / 903

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences