The Modal Low Frequency Noise of an Elastically Supported Circular Plate

Abstract

The modal low frequency noise generated by a vibrating elastically supported circular plate embedded into a flat infinite baffle has been examined. The low frequency noise radiation efficiency circular plate hatchwayCorrespondence and requests for offprints should be sent to Wojciech P. Rdzanek,

Study of the sound radiation of a rectangular plate resting on a winkler elastic foundation

“…(9) and (10) is [21] N. A. Bastián-Monarca and J. P. Arenas Study sound radiation rectangular plate resting elastic foundation (11) where , , , and are mode shapes parameters which can be determined from boundary conditions. The boundary conditions for this case are [22] over (12) over (13) Substituting Eq.…”

On the Sound Radiation From a Circular Hatchway

“…In Rdzanek et al [4] an exact integral expression for the sound radiation efficiency related to the mode (m, n) is derived from its Hankel representation (see Equation 21 of Rdzanek et al). Evidently, sound radiation efficiency may be dependent on the particular boundary condition at the edge of the circular plate, which can be defined through the appropriate values of p and q.…”

“…In particular, there have been many studies on predicting the sound power radiated from a circular plate [3]. In a recent article, Rdzanek, Rdzanek, Engel, et al reported a motivating study on the modal low-frequency noise generated by a vibrating elastically supported circular plate embedded into a flat infinite baffle [4]. Their approach allows one to estimate the low-frequency sound power radiated from both axisymmetric and asymmetric modes, and virtually for any uniform boundary condition at the contour of the plate.…”

“…Assuming time-harmonic solution of Equation 1, i.e., w(r, φ, t) = W(r, φ)e jωt , and following Rdza nek et al's [4] notation, the forced harmonic response of the plate can be written as the modal superposition ω mn -corresponding eigenfrequency of mode (m, n), (6) and is the structural wavenum ber. The constants A mn and C mn in Equation 4 are determined from the boundary conditions of the circular plate.…”

“…Uniform boundary conditions at the contour of the plate are expressed with Equations 7-8 [6] (9) into Equations 7-8 (see Equation 11 in Rdzanek et al [4]). The values at which a resonance of mode (m, n) takes place are given with the eigenvalue λ mn = k mn a.…”