Szczegóły publikacji
Opis bibliograficzny
Analysis of sound radiation from a vibrating elastically supported annular plate using compatibility layer and radial polynomials / Wojciech P. Rdzanek, Jerzy WICIAK, Marek Pawelczyk // Journal of Sound and Vibration ; ISSN 0022-460X. — 2022 — vol. 519 art. no. 116593, s. 1–24. — Bibliogr. s. 23–24, Abstr. — Publikacja dostępna online od: 2021-11-08
Autorzy (3)
- Rdzanek Wojciech P.
- AGHWiciak Jerzy
- Pawelczyk Marek
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 138111 |
|---|---|
| Data dodania do BaDAP | 2021-12-10 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jsv.2021.116593 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp | |
| Czasopismo/seria | Journal of Sound and Vibration |
Abstract
This study investigates the problem of sound radiation from a thin vibrating annular plate. The plate is supported elastically at its circumference and embedded into the bottom of a circular cavity in a rigid plane. The selected model provides results covering the occurrence of sound radiation from the thin annular plates with any arbitrary boundary configurations. The cavity and the half-space are filled with air, and the air in the cavity plays the role of the compatibility layer. Therefore, the vibrations of the plate are coupled with that of air. Application of the compatibility layer allows the decomposition of the coupled problem of sound radiation to two problems: one for the vibration of the plate coupled with the cavity and the other for the sound radiation from the cavity to the half-space. Consequently, the plate is not coupled to the half-space directly. Therefore, the modal impedance coefficient of the plate is not required to solve the problem. The coefficients of the cavity are sufficient for the calculations, and they can be calculated significantly faster than in the case of performing a numerical integration while simultaneously satisfying the assumed accuracy by using radial polynomials. This also makes it possible to simplify numerical calculations. Finally, the total acoustic power, the acoustic pressure, and the vibration velocity have been obtained using the proposed approach and analyzed numerically. In the specific case when the cavity depth is reduced to zero, the nondimensionalized added virtual mass incremental as well as the modal impedance coefficients of the plate are calculated. Using the obtained results, the resonant frequencies can be accurately determined within a broad frequency band. The described method can be used for calculating the sound radiation for any arbitrary boundary configuration of the thin annular plates. In addition, the proposed approximation reduces the time required for the numerical calculations by roughly 2000 times compared to the time required for the numerical integration.