A vibroacoustic study of multi-layered micro-perforated plates (MPP) coupled to an enclosure cavity excited by internal and external acoustic excitations is presented. Most previous research centered on the multi-layered MPPs structure itself, the absorption and transmission performances were often calculated or tested in a simple acoustic environment. In a more realistic setting, the surrounding systems may affect the efficiency of MPPs. The proper modeling of the MPPs within acoustic enclosures requires careful study. The break-out sound from an enclosure via multi-layered MPP and the energy transmission of the structure into an acoustic enclosure undergoing exterior excitation are studied with an emphasis on the use of MPP in acoustic enclosures to suppress specific resonances of the enclosure. Therefore, an analytical formulation is proposed to model the behavior of the coupled system to address this issue. Using a modified Fourier series for the acoustic pressure, the continuity of the normal velocities at the interfaces of the plate or the MPP and the acoustic medium is assured accurately. A modified variational form for the acoustic and structure medium yields a completely coupled vibroacoustic system. Comparison with the finite element method (FEM) and available literature findings prove the efficacy and precision of the current approach. The effect of important parameters on the vibroacoustic behavior of multi-layered MPPs structure connected to an acoustic enclosure is examined. These parameters include micro-perforation of the plate, hole diameter, air gap thickness, acoustic enclosure dimensions, and the insertion of absorbent material in the gap.
LiuYDaudinC.Analytical modelling of sound transmission through finite clamped double-wall sandwich panels lined with poroelastic materials. Compos Struct2017; 172: 359–373.
2.
LiuYHeC.Diffuse field sound transmission through sandwich composite cylindrical shells with poroelastic core and external mean flow. Compos Struct2016; 135: 383–396.
3.
WangTLiSRajaramS, et al. Predicting the sound transmission loss of sandwich panels by statistical energy analysis approach. J Vib Acoust2010; 132(1). 011004.
4.
XinFXLuTJChenCQ.Sound transmission through simply supported finite double-panel partitions with enclosed air cavity. J Vib Acoust2010; 132(1): 011008.
5.
PriceAJCrockerMJ.Sound transmission through double panels using statistical energy analysis. J Acoust Soc Am1970; 47: 683–693.
6.
ChazotJDGuyaderJL.Prediction of transmission loss of double panels with a patch-mobility method. J Acoust Soc Am2007; 121(1): 267–278.
7.
CraikRJM. Non-resonant sound transmission through double walls using statistical energy analysis. Appl Acoust2003; 64(3): 325–341.
8.
XinFXLuTJ.Analytical and experimental investigation on transmission loss of clamped double panels: implication of boundary effects. J Acoust Soc Am2009; 125(3): 1506–1517.
9.
SunWLiuY.Vibration analysis of hard-coated composite beam considering the strain dependent characteristic of coating material. Acta Mech Sinica2016; 32(4): 731–742.
10.
ChazotJDGuyaderJL.Transmission loss of double panels filled with porogranular materials. J Acoust Soc Am2009; 126(6): 3040–3048.
11.
DoutresOAtallaN.Acoustic contributions of a sound absorbing blanket placed in a double panel structure: absorption versus transmission. J Acoust Soc Am2010; 128(2): 664–671.
12.
BoltonJSGreenE.Normal incidence sound transmission through double panel systems lined with relatively stiff, partially reticulated polyurethane foam. Appl Acoust1993; 39: 23–51.
13.
PannetonRAtallaN.Numerical prediction of sound transmission through finite multilayer systems with poroelastic materials. J Acoust Soc Am1996; 100(1): 346–354.
14.
KangYJBoltonJS.A finite element model for sound transmission through foam-lined double-panel structures. J Acoust Soc Am1996; 99(5): 2755–2765.
15.
BoltonJSShiauNMKangYJ.Sound transmission through multi-panel structures lined with elastic porous materials. J Sound Vib1996; 191(3): 317–347.
16.
GhanbariMHossainpourSRezazadehG.Studying thin film damping in a micro-beam resonator based on non-classical theories. Acta Mech Sinica2016; 32(3): 369–379.
17.
MengHXinFXLuTJ.External mean flow effects on sound transmission through acoustic absorptive sandwich structure. AIAA J2012; 50(10): 2268–2276.
18.
SantoniADavyJLFaustiP, et al. A review of the different approaches to predict the sound transmission loss of building partitions. J Build Acoust2020; 27(3): 1–27.
19.
MaaD-Y.Theory and design of microperforated panel sound-absorbing constructions. Sci China1975; 18(1): 38–50.
AtallaNSgardF.Modeling of perforated plates and screens using rigid frame porous models. J Sound Vib2007; 303(1): 195–208.
22.
NgCFHao-MingQ.Double perforated honeycomb panel as a low frequency acoustic absorber. J Build Acoust1997; 4(1): 21–37.
23.
RaoKNMunjalM.Experimental evaluation of impedance of perforates with grazing flow. J Sound Vib1986; 108(2): 283–295.
24.
LeeDHKwonYP.Estimation of the absorption performance of multiple layer perforated panel systems by transfer matrix method. J Sound Vib2004; 278: 847–860.
25.
YuvarajLJeyanthiS.Acoustic performance of countersunk micro-perforated panel in multilayer porous material. J Build Acoust2019; 27(1): 1-18.
26.
ChenK-T.Study on the acoustic transmission loss of a rigid perforated screen. Appl Acoust1996; 47(4): 303–318.
27.
DupontTPavicGLaulagnetB.Acoustic properties of lightweight microperforated plate systems. Acta Acust United Ac2003; 89(2): 201–212.
28.
ToyodaMTakahashiD.Sound transmission through a microperforated-panel structure with subdivided air cavities. J Acoust Soc Am2008; 124(6): 3594–3603.
29.
BravoTMauryCPinhèdeC.Sound absorption and transmission through flexible micro-perforated panels backed by an air layer and a thin plate. J Acoust Soc Am2012; 131(5): 3853–3863.
30.
BravoTMauryCPinhèdeC.Enhancing sound absorption and transmission through flexible multi-layer micro-perforated structures. J Acoust Soc Am2013; 134(5): 3663–3673.
31.
MuRLToyodaMTakahashiD.Sound insulation characteristics of multi-layer structures with a microperforated panel. Appl Acoust2011; 72(11): 849–855.
32.
KimH-SKimS-RKimB-K, et al. Sound transmission loss of multilayered infinite micro-perforated plates. J Acoust Soc Am2020; 147(1): 508–515.
33.
KimH-SMaP-SKimB-KN, et al. Sound transmission loss of multi-layered elastic micro-perforated plates in an impedance tube. Appl Acoust2020, 166: 107348.
34.
PanJ.The forced response of an acoustic-structural coupled system. J Acoust Soc Am1992; 91: 949–956.
35.
ChengLLiYYGaoJX.Energy transmission in a mechanically-linked double-wall structure coupled to an acoustic enclosure. J Acoust Soc Am2005; 117: 2742–2751.
36.
PanJHansenCHBiesDA. Active control of noise transmission through a panel into a cavity: I. Analytical study. J Acoust Soc Am1990; 87: 2098–2108.
37.
PanJHansenCH.Active control of noise transmission through a panel into a cavity. II: experimental study. J Acoust Soc Am1991; 90: 1488–1492.
38.
BravoTElliottSJ.Variability of low frequency sound transmission measurements. J Acoust Soc Am2004; 115: 2986–2997.
39.
VenkateshamBTiwariMMunjalML.Analytical prediction of the breakout noise from a rectangular cavity with one compliant wall. J Acoust Soc Am2008; 124: 2952–2962.
40.
VenkateshamBTiwariMMunjalML.Analytical prediction of break-out noise from a reactive rectangular plenum with four flexible walls. J Acoust Soc Am2010; 128: 1789–1799.
BecotFXSgardF.On the use of poroelastic materials for the control of the sound radiated by a cavity backed plate. J Acoust Soc Am2006; 120: 2055–2006.
43.
KimSMKimYH.Structural-acoustic coupling in a partially opened plate-cavity system: experimental observation by using nearfield acoustic holography. J Acoust Soc Am2001; 109: 65–74.
44.
KimYHKimSM.Solution of coupled acoustic problems: A partially opened cavity coupled with a membrane and a semi-infinite exterior field. J Sound Vib2002; 254: 231–244.
45.
ClasenDLangerS.Finite element approach for flanking transmission in building acoustics. J Build Acoust2007; 14(1): 1–14.
46.
DuJTLiWLXuHA, et al. Vibro-acoustic analysis of a rectangular cavity bounded by a flexible panel with elastically restrained edges. J Acoust Soc Am2012; 131: 2799–2810.
47.
DuJTLiWLLiuZG, et al. Acoustic analysis of a rectangular cavity with general impedance boundary conditions. J Acoust Soc Am2011130: 807–817.
48.
WangGLiWLDuJT, et al. Prediction of break-out sound from a rectangular cavity via an elastically mounted panel. J Acoust Soc Am2016; 139(2): 684–692.
ThomazelliRBertoliS.An experimental study on the optimization of the production and efficiency of tunable Helmholtz absorbers for the modal control of small rooms. J Build Acoust2019; 26(2): 1–23.
51.
TakahashiDTanakaM.Flexural vibration of perforated plates and porous elastic materials under acoustic loading. J Acoust Soc Am2002; 112(4): 1456–1464.
52.
XinFXLuTJChenCQ.Vibroacoustic behavior of clamp mounted double-panel 26 partition with enclosure air cavity. J Acoust Soc Am2008; 124: 3604–3612.
53.
CarnealJPFullerCR.An analytical and experimental investigation of active structural acoustic control of noise transmission through double panel system. J Sound Vib2004; 272: 749–771.
54.
QuYGHuaHXMengG.A domain decomposition approach for vibration analysis of isotropic and composite cylindrical shells with arbitrary boundaries. Compos Struct2013; 95: 307–321.
55.
QuYGChenYLongXH, et al. A modified variational approach for vibration analysis of ring-stiffened conical–cylindrical shell combinations. Eur J Mech A Solids2013; 37: 200–215.
56.
ChienWZ. Method of high-order Lagrange multiplier and generalized variational principles of elasticity with more general forms of functional. Appl Math Mech1983; 4: 143–157.
57.
BeranekLL.Acoustical properties of homogeneous, isotropic rigid tiles and flexible blankets. J Acoust Soc Am1947; 19(4): 556–568.
58.
DelanyMEBazleyEN.Acoustical properties of fibrous materials. Appl Acoust1970; 3(2): 105–116.
