A study of the medium frequency response of sound field in a panel–cavity system

Abstract

Vibration and absorption properties of structures which are used to form an enclosure have significant effects on the acoustical response of the enclosed sound field. Boundary structures such as panels and partitions found in real enclosures like buildings and vehicles are often elastic, thus their perturbational/coupling effect cannot be isolated from the vibrational motion of boundary-induced acoustic modes in the enclosed sound field. The effect of acoustic-structural coupling on the transient and steady-state responses of the sound field has been investigated in both low-and high-frequency ranges. In the medium-frequency range, acoustic-structural coupling problems are not well understood. In this paper, acoustic-structural interactions at medium frequencies are investigated using the modal coupling method and the effect of the coupling on the medium frequency response of the sound field in a panel-cavity system is studied. Features associated with the sound field response are then obtained when modal properties of the boundary structures are varied.

A variational formulation for vibro-acoustic analysis of a panel backed by an irregularly-bounded cavity

“…In general, structural vibration radiates sound into the enclosure through its coupling with acoustic modes of the interior fluid, while the acoustic mode shapes greatly depend on the cavity geometry. Since traditional modal-based approaches largely rely on the availability of the acoustic modes [3,5], which are not analytically known in the existence of the geometry irregularity, this work aims at removing this limitation.…”

Vibroacoustic Analysis of a Rectangular Enclosure Bounded by a Flexible Panel with Clamped Boundary Condition

“…where ( ) = cosh( ) − cos( ), ( ) = sinh( ) − sin( ). , V are determined by (10), and , V are mode indices of clamped panel modes:…”

“…Similar to an enclosure with a simply supported flexible wall, the modal density of uncoupled clamped panel and enclosure will affect energy transfer between them. The modal density of uncoupled clamped panel and enclosure sound field are given by [3,10]…”

“…In the efforts of Pan et al [5] and Xin et al [6,7], the weighted residual method was used to calculate the response of a panel-enclosure coupled system. Based on the analysis of acoustic-structural coupling, the forced response of panel-enclosure coupled system with different kinds of excitation [8][9][10][11] and active noise control [12][13][14][15] were studied. In the effort of Balachandran et al [15], modal coupling method was used to study the active noise control of panel-enclosure coupled system, in which the flexible panel was clamped along its edges.…”

Analytical modelling of structure-borne sound transmission through I-junction using Chebyshev-Ritz method on cascaded rectangular plate–cavity system

“…In addition, the analytical approach does not restrict the frequency as compared to the energy and discretization method as seen above. The dynamic characteristics of a cavity subjected to individual vibrating panels have been extensively studied [5][6][7][8][9][10][11][12][13][14][15][16][17]. The structure-borne sound transmission is usually solved semi-analytically using modal coupling approaches [13] [6,[17][18][19][20]] that requires prior modal information.…”