Objectives
For the periodic structures, the definitions of the effect of quasi-periodicity remain to be investigated in order to understand how this can be modeled. More important will be to analyze if and how the presence of imperfection or irregularity can have a significant impact on the vibrational and/or acoustic behavior of elastic systems. The effects on micro-scale can influence the performance on macro-scale and thus it will be studied the possibility, inside the (quasi)-periodic structure to include and design by including these effects. Several effect are known in literature (the Anderson localization is one of the most famous) but some insights are now necessary in order to improve not only the simulation of these kind of problems but also to move to prototypes which can demonstrate on experimental basis the achievement of increased vibroacoustic performances (structural damping and/or acoustic transmission loss). The problems to be faced are inherently multidisciplinary and will require a high degree of collaboration at task level (synergy with ESR9), and at consortium level in order to well define the range of the possible activities in view also of the industrial needs. The work will move from a good definition of the quasi-periodicity to the analysis of the nature and sizes of the members, which alter the perfect periodicity. Their effect could be evaluated adding each of them on a predictive environment: this will foresee a development of a new code based on a combination of wave finite element, spectral finite element, transfer matrix methods and the adoption of stochastic variables if needed. It has to be considered also the possibility to use non-deterministic (possibilistic) algebras as those associated to the fuzzy-logic or the interval algebra.
In literature, it is already shown that a sandwich panel, optimized versus the vibroacoustic performance, with added random properties of the core can exhibit stop-band characteristics in some frequency ranges. Therefore, an additional target can consist in framing the above-mentioned property under the wave finite element method in order to lead to some design guidelines. It will be important to analyse the effect of the manufacturing issues, too. In fact, it becomes mandatory for the new designs whoch could arise form the present research to verify if the given degree of accuracy of manufacturing preses the requirements. Form this point of view, the cited synergy with ESR9 and with the industrial partner will be a crucial step.
Expected Results: Assessments of quasi-periodicity influences on the vibroacoustic signature of periodic media.
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