| Title: | Železná jehlice z hradiště Kněží hora u Katovic (okres Strakonice) a obtížně datovatelné nálezy jehlic z výšinných sídlišť v širších souvislostech |
| Other Titles: | An iron pin from the Kněží hora hillfort, near Katovice (Strakonice district) and the finds of pins which are difficult to date from elevated sites in a broader context |
| Authors: | Hložek, Josef Profantová, Naďa Menšík, Petr |
| Citation: | ROHAN, E., LUKEŠ, V. Homogenization of the vibro–acoustic transmission on perforated plates. Applied Mathematics and Computation, 2019, roč. 361, č. 15 November, s. 821-845. ISSN 0096-3003. |
| Issue Date: | 2019 |
| Publisher: | Elsevier |
| Document type: | článek article |
| URI: | 2-s2.0-85067871390 http://hdl.handle.net/11025/35830 |
| ISSN: | 0231-5823 |
| Keywords in different language: | early Middle Ages;pin;hillfort;Kněží hora near Katovice;Tismice;south Bohemia;central Bohemia |
| Abstract: | Dosavadní, prozatím nečetné nálezy raně středověkých jehlic z českého prostředí jsou dokladem pokračující kontinuity využití tohoto typu šperku a oděvního doplňku od pravěku až po samý počátek vrcholného středověku. Nález fragmentu profilovaného těla železné jehlice, která prozatím nemá v českém prostředí analogie je výjimečným pramenem k poznání intenzity i komplikovanosti kulturních kontaktů v širších oblastech východní i západní Evropy. |
| Abstract in different language: | The paper deals with modelling of acoustic waves which propagate in inviscid fluids interacting with perforated elastic plates. The plate can be replaced by an interface on which transmission conditions are derived by homogenization of a problem describing vibroacoustic fluid-structure interactions in a transmission layer in which the plate is embedded. The Reissner-Mindlin theory of plates is adopted for periodic perforations designed by arbitrary cylindrical holes with axes orthogonal to the plate midplane. The homogenized model of the vibroacoustic transmission is obtained using the two-scale asymptotic analysis with respect to the layer thickness which is proportional to the plate thickness and to the perforation period. The nonlocal, implicit transmission conditions involve a jump in the acoustic potential and its normal one-side derivatives across the interface which represents the plate with a given thickness. The homogenized model was implemented using the finite element method and validated using direct numerical simulations of the non-homogenized problem. Numerical illustrations of the vibroacoustic transmission are presented. |
| Rights: | Plný text není přístupný. © Elsevier |
| Appears in Collections: | Články / Articles (NTIS) OBD |
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|---|---|---|---|
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