The application of shift cell technique is presented and discussed for periodic porous media described with equivalent fluid models: as it can be found in literature, it consists in a reformulation of classical Floquet-Bloch (F-B) conditions, in which the phase shift of the boundary conditions, related to wave propagation, is integrated into the partial derivative operator. Consequently, the periodicity is included in the overall behavior of the structure, while continuity conditions are imposed at the edges of the unit cell. Its major advantage stands in allowing the introduction of a generic frequency dependence of porous material behavior, through the resolution a quadratic eigenvalue problem, providing an efficient way to compute the dispersion curves of a porous material modeled as an equivalent fluid.
Computation of dispersion diagrams for periodic porous materials modeled as equivalent fluids / Magliacano, Dario; Ouisse, Morvan; Khelif, Abdelkrim; DE ROSA, Sergio; Franco, Francesco; Atalla, Noureddine; Collet, Manuel. - In: MECHANICAL SYSTEMS AND SIGNAL PROCESSING. - ISSN 0888-3270. - 142:Paper 106749(2020), pp. 1-16. [10.1016/j.ymssp.2020.106749]
Computation of dispersion diagrams for periodic porous materials modeled as equivalent fluids
Magliacano Dario;DE ROSA Sergio;
2020
Abstract
The application of shift cell technique is presented and discussed for periodic porous media described with equivalent fluid models: as it can be found in literature, it consists in a reformulation of classical Floquet-Bloch (F-B) conditions, in which the phase shift of the boundary conditions, related to wave propagation, is integrated into the partial derivative operator. Consequently, the periodicity is included in the overall behavior of the structure, while continuity conditions are imposed at the edges of the unit cell. Its major advantage stands in allowing the introduction of a generic frequency dependence of porous material behavior, through the resolution a quadratic eigenvalue problem, providing an efficient way to compute the dispersion curves of a porous material modeled as an equivalent fluid.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2989035
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