Shape optimization of phononic band gap structures using the homogenization approach

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43931782" target="_blank" >RIV/49777513:23520/17:43931782 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.ijsolstr.2017.01.038" target="_blank" >http://dx.doi.org/10.1016/j.ijsolstr.2017.01.038</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ijsolstr.2017.01.038" target="_blank" >10.1016/j.ijsolstr.2017.01.038</a>

Result language
angličtina
Original language name
Shape optimization of phononic band gap structures using the homogenization approach
Original language description
The paper deals with optimization of the acoustic band gaps computed using the homogenized model of strongly heterogeneous elastic composite which is constituted by soft inclusions periodically distributed in stiff elastic matrix. We employ the homogenized model of such medium to compute intervals — band gaps — of the incident wave frequencies for which acoustic waves cannot propagate. It was demonstrated that the band gaps distribution can be influenced by changing the shape of inclusions. Therefore, we deal with the shape optimization problem to maximize low-frequency band gaps; their bounds are determined by analysing the effective mass tensor of the homogenized medium. Analytic transformation formulas are derived which describe dispersion effects of resizing the inclusions. The core of the problem lies in sensitivity of the eigenvalue problem associated with the microstructure. Computational sensitivity analysis is developed, which allows for efficient usage of the gradient based optimization methods. Numerical examples with 2D structures are reported to illustrate the effects of optimization with stiffness constraint. This study is aimed to develop modelling tools which can be used in optimal design of new acoustic devices for “smart systems”.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20505 - Composites (including laminates, reinforced plastics, cermets, combined natural and synthetic fibre fabrics; filled composites)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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