Wave sensitivity analysis for periodic and arbitrarily complex composite structures

Purpose: This paper presents the development of a numerical continuum-discrete approach for computing the sensitivity of the waves propagating in periodic composite structures. The work can be directly employed for evaluating the sensitivity of the structural dynamic performance with respect to geom...

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Main Authors: Chronopoulos, Dimitrios, Collet, Manuel, Ichchou, Mohamed
Format: Article
Published: Emerald 2017
Subjects:
Online Access:https://eprints.nottingham.ac.uk/43599/
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author Chronopoulos, Dimitrios
Collet, Manuel
Ichchou, Mohamed
author_facet Chronopoulos, Dimitrios
Collet, Manuel
Ichchou, Mohamed
author_sort Chronopoulos, Dimitrios
building Nottingham Research Data Repository
collection Online Access
description Purpose: This paper presents the development of a numerical continuum-discrete approach for computing the sensitivity of the waves propagating in periodic composite structures. The work can be directly employed for evaluating the sensitivity of the structural dynamic performance with respect to geometric and layering structural modifications. Design/methodology/approach: A structure of arbitrary layering and geometric complexity is modelled using solid FE. A generic expression for computing the variation of the mass and the stiffness matrices of the structure with respect to the material and geometric characteristics is hereby given. The sensitivity of the structural wave properties can thus be numerically determined by computing the variability of the corresponding eigenvalues for the resulting eigenproblem. The exhibited approach is validated against the FD method as well as analytical results. Findings: An intense wavenumber dependence is observed for the sensitivity results of the sandwich structure. This exhibits the importance and potential of the presented tool with regard to the optimization of layered structures for specific applications. The model can also be used for computing the effect of the inclusion of smart layers such as auxetics and piezoelectrics. Originality/value: The paper presents the first continuum-discrete approach specifically developed for accurately and efficiently computing the sensitivity of the wave propagation data for periodic composite structures irrespective of their size. The considered structure can be of arbitrary layering and material characteristics as FE modelling is employed.
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spelling nottingham-435992020-05-04T18:48:40Z https://eprints.nottingham.ac.uk/43599/ Wave sensitivity analysis for periodic and arbitrarily complex composite structures Chronopoulos, Dimitrios Collet, Manuel Ichchou, Mohamed Purpose: This paper presents the development of a numerical continuum-discrete approach for computing the sensitivity of the waves propagating in periodic composite structures. The work can be directly employed for evaluating the sensitivity of the structural dynamic performance with respect to geometric and layering structural modifications. Design/methodology/approach: A structure of arbitrary layering and geometric complexity is modelled using solid FE. A generic expression for computing the variation of the mass and the stiffness matrices of the structure with respect to the material and geometric characteristics is hereby given. The sensitivity of the structural wave properties can thus be numerically determined by computing the variability of the corresponding eigenvalues for the resulting eigenproblem. The exhibited approach is validated against the FD method as well as analytical results. Findings: An intense wavenumber dependence is observed for the sensitivity results of the sandwich structure. This exhibits the importance and potential of the presented tool with regard to the optimization of layered structures for specific applications. The model can also be used for computing the effect of the inclusion of smart layers such as auxetics and piezoelectrics. Originality/value: The paper presents the first continuum-discrete approach specifically developed for accurately and efficiently computing the sensitivity of the wave propagation data for periodic composite structures irrespective of their size. The considered structure can be of arbitrary layering and material characteristics as FE modelling is employed. Emerald 2017-06-03 Article PeerReviewed Chronopoulos, Dimitrios, Collet, Manuel and Ichchou, Mohamed (2017) Wave sensitivity analysis for periodic and arbitrarily complex composite structures. Engineering Computations . ISSN 0264-4401 Sensitivity analysis Wave propagation Composite structures http://www.emeraldinsight.com/doi/pdfplus/10.1108/EC-06-2016-0200 doi:10.1108/EC-06-2016-0200 doi:10.1108/EC-06-2016-0200
spellingShingle Sensitivity analysis
Wave propagation
Composite structures
Chronopoulos, Dimitrios
Collet, Manuel
Ichchou, Mohamed
Wave sensitivity analysis for periodic and arbitrarily complex composite structures
title Wave sensitivity analysis for periodic and arbitrarily complex composite structures
title_full Wave sensitivity analysis for periodic and arbitrarily complex composite structures
title_fullStr Wave sensitivity analysis for periodic and arbitrarily complex composite structures
title_full_unstemmed Wave sensitivity analysis for periodic and arbitrarily complex composite structures
title_short Wave sensitivity analysis for periodic and arbitrarily complex composite structures
title_sort wave sensitivity analysis for periodic and arbitrarily complex composite structures
topic Sensitivity analysis
Wave propagation
Composite structures
url https://eprints.nottingham.ac.uk/43599/
https://eprints.nottingham.ac.uk/43599/
https://eprints.nottingham.ac.uk/43599/