English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We analyse the propagation of pressure waves within a fluid filled with athree-dimensional array of rigid coated spheres (shells). We first draw banddiagrams for corresponding Floquet-Bloch waves. We then dig a channelterminated by a cavity within each rigid shell and observe the appearance of alow frequency stop band. The underlying mechanism is that each holey shell nowacts as a Helmholtz resonator supporting a low frequency localized mode: Uponresonance, pressure waves propagate with fast oscillations in the thin waterchannel drilled in each shell and are localized in each fluid filled innercavity. The array of fluid filled shells is approximated by a simple mechanicalmodel of springs and masses allowing for asymptotic estimates of the lowfrequency stop band. We finally propose a realistic design of periodicmacrocell with a large defect surrounded by 26 resonators connected by thinstraight rigid wires, which supports a localized mode in the low frequency stopband.

Low frequency acoustic stop bands in cubic arrays of thick spherical shells with holes