Technical Memorandum 527249322-1

Structural mobility of a simply supported plate
Publication date
2026-03-03
Document type
Bericht
Author
Organisational unit
Language
English
DDC Class
534 Schall und verwandte Schwingungen
530 Physik
621 Angewandte Physik
Keyword
Active structural acoustic control
Structural vibration
Near-field Acoustical Holography
Simply supported plate
Abstract
This memorandum is the first in a series of documents that reflect the content of the work plan in the project Near-field Acoustical Holography (NAH) - a new sensor concept for methods of active noise reduction. The initial step is to derive the structural mobility of a thin plate. This content is well documented in the literature but will be required at various points during the course of the project and is therefore created here as a separate document. Beyond that, a simple analytical model is needed to develop an Active Structural Acoustic Control (ASAC) sensor principle using NAH.
Description
An experimentally feasible approach is a thin vibrating plate in an infinite rigid baffle, where one of Rayleigh’s integral equations is used to calculate the radiated sound pressure from a finite excitation within the baffle plane. This excitation function comes from the plate's normal structural vibration velocity, assuming no backward coupling between the sound pressure and the vibration velocity. Thus, it is assumed that the structural velocity matches the particle velocity on the interface between fluid and plate. In-vacuo structural modes with simply supported boundaries will be used, and this report will derive related equations for the structural mobility.
Version
Author's original
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