Restricted accessResearch articleFirst published online 2018-5
Broadband sound transmission loss enhancement of an arbitrary-thick hybrid smart composite plate using multi-objective particle swarm optimization–based active control
The active damping control strategy upgraded by a multi-objective particle swarm optimization algorithm is utilized for improved broadband suppression of sound transmission through a simply supported piezo-laminated rectangular panel of arbitrary thickness featuring an orthotropic functionally graded viscoelastic material interlayer. The controller parameters are tuned optimally through multi-objective particle swarm optimization which yields the Pareto optimal frontiers of certain applicable conflicting objective functions. Extensive numerical simulations include the calculated sound transmission loss of the passive, active, and hybrid (active–passive) piezo-composite panels under normally or obliquely incident plane waves. It is found that the overall sound transmission loss levels substantially rise with increasing thickness of (carbon fiber–reinforced) viscoelastic interlayer, which can further be improved by augmenting the fiber volume fraction. Also, the purely active multi-objective particle swarm optimization–based control system performs well in the low-frequency region, while the good performance of the hybrid smart panel is achieved by balancing an optimal trade-off between the active and passive control configurations in a relatively wide frequency range. Accuracy of formulation is confirmed by comparisons with the existing data as well as with those of a finite element model software package. Furthermore, a frequency-domain subspace identification scheme is applied to estimate the state matrices of proposed control systems, and the closed-loop stability is established based on eigenvalue analysis of identified systems.
AzzouzMSRoJ (2002) Control of sound radiation of an active constrained layer damping plate/cavity system using the structural intensity approach. Journal of Vibration and Control8(6): 903–918.
2.
BaillargeonBPVelSS (2005) Exact solution for the vibration and active damping of composite plates with piezoelectric shear actuators. Journal of Sound and Vibration282(3): 781–804.
3.
BauchauOACraigJI (2009) Structural Analysis: With Applications to Aerospace Structures. Rotterdam: Springer.
4.
BenjeddouA (2001) Advances in hybrid active-passive vibration and noise control via piezoelectric and viscoelastic constrained layer treatments. Journal of Vibration and Control7(4): 565–602.
5.
CabellRHGibbsGP (2000) Hybrid active/passive control of sound radiation from panels with constrained layer damping and model predictive feedback control. The Journal of the Acoustical Society of America108: 2451.
6.
CameronCJNordgrenELWennhagePet al. (2014) On the balancing of structural and acoustic performance of a sandwich panel based on topology, property, and size optimization. Journal of Sound and Vibration333(13): 2677–2698.
ChandraRSinghSGuptaK (2003) A study of damping in fiber-reinforced composites. Journal of Sound and Vibration262(3): 475–496.
9.
ChenLZhangY (2013) A study on the application of material selection optimization approach for structural-acoustic optimization. Materials & Design52: 207–213.
10.
ChenWDingH (2002) On free vibration of a functionally graded piezoelectric rectangular plate. Acta Mechanica153(3): 207–216.
11.
ChielloOSgardFAtallaN (2003) On the use of a component mode synthesis technique to investigate the effects of elastic boundary conditions on the transmission loss of baffled plates. Computers & Structures81(28): 2645–2658.
12.
CoelloCAC (2006) Evolutionary multi-objective optimization: a historical view of the field. IEEE Computational Intelligence Magazine1(1): 28–36.
13.
CoelloCACPulidoGTLechugaMS (2004) Handling multiple objectives with particle swarm optimization. IEEE Transactions on Evolutionary Computation8(3): 256–279.
14.
COMSOL Inc. (2013) COMSOL Multiphysics Reference Manual (2013), version 4.3, Burlington, USA, www.comsol.com.
15.
D’AlessandroVPetroneGFrancoFet al. (2013) A review of the vibroacoustics of sandwich panels: models and experiments. Journal of Sandwich Structures and Materials15(5): 541–582.
16.
DebK (2001) Multi-Objective Optimization Using Evolutionary Algorithms. Hoboken, NJ: John Wiley & Sons.
17.
DenliHSunJ (2007) Structural-acoustic optimization of composite sandwich structures: a review. Shock and Vibration Digest39: 189–202.
18.
DingHChenWXuR (2001) On the bending, vibration and stability of laminated rectangular plates with transversely isotropic layers. Applied Mathematics and Mechanics22(1): 17–24.
19.
FahyFWalkerJ (1998) Fundamentals of Noise and Vibration. Boca Raton, FL: CRC Press.
20.
FahyFJGardonioP (2007) Sound and Structural Vibration: Radiation, Transmission and Response. New York: Academic press.
21.
GuideMUs (2012) Natick, MA: The MathWorks, Inc.
22.
HansenCSnyderSQiuXet al. (2012) Active Control of Noise and Vibration. Boca Raton, FL: CRC Press.
23.
HasheminejadSMGudarziM (2014) Active sound radiation control of a submerged piezocomposite hollow sphere. Journal of Intelligent Material Systems and Structures26(15): 2073–2091.
24.
HasheminejadSMKeshavarzpourH (2013) Active sound radiation control of a thick piezolaminated smart rectangular plate. Journal of Sound and Vibration332(20): 4798–4816.
25.
HasheminejadSMRabbaniV (2015) Active transient sound radiation control from a smart piezocomposite hollow cylinder. Archives of Acoustics40(3): 359–381.
IshibuchiHTsukamotoNNojimaY (2008) Evolutionary many-objective optimization: a short review. IEEE Congress on Evolutionary Computation, Hong Kong, China, 1–6June, pp. 2419–2426. New York: IEEE.
28.
JaliliN (2009) Piezoelectric-Based Vibration Control: From Macro to Micro/Nano Scale Systems. New York: Springer.
29.
JungerMCFeitD (1986) Sound, Structures, and their Interaction. Cambridge, MA: MIT Press.
30.
KamalAMTahaIM (2010) Vibration damping behavior of fiber reinforced composites: a review. Key Engineering Materials425: 179–194.
31.
KangYKKimCM (2003) Hybrid control of sound fields from vibrating laminated plate using piezoelectric and viscoelastic material. SAE technical paper 2003-01-1416.
32.
KattimaniSRayM (2014) Smart damping of geometrically nonlinear vibrations of magneto-electro-elastic plates. Composite Structures114: 51–63.
33.
KennedyJKennedyJFEberhartRCet al. (2001) Swarm Intelligence. Burlington, MA: Morgan Kaufmann.
KucukIYildirimKAdaliS (2015) Optimal piezoelectric control of a plate subject to time-dependent boundary moments and forcing function for vibration damping. Computers & Mathematics with Applications69(4): 291–303.
36.
KumarNSinghS (2012) Vibration control of curved panel using smart damping. Mechanical Systems and Signal Processing30: 232–247.
37.
KuoY-MLinH-JWangC-N (2008) Sound transmission across orthotropic laminates with a 3D model. Applied Acoustics69(11): 951–959.
38.
LiS (2011) Active modal control simulation of vibro-acoustic response of a fluid-loaded plate. Journal of Sound and Vibration330(23): 5545–5557.
MaoQPietrzkoS (2010) Experimental study for control of sound transmission through double glazed window using optimally tuned Helmholtz resonators. Applied Acoustics71(1): 32–38.
41.
MarburgSShepherdMHambricSA (2016) Structural–acoustic optimization. In: HambricSASungSHNefskeDJ (eds) Engineering Vibroacoustic Analysis: Methods and Applications. Chichester: John Wiley & Sons, pp. 268–304.
42.
Matroc Inc. (1993) Guide to Modern Piezoelectric Ceramics. Bedford, Ohio: Morgan Matroc Electro Ceramics Division.
43.
MoheimaniSRVautierBJBhikkajiB (2006) Experimental implementation of extended multivariable PPF control on an active structure. IEEE Transactions on Control Systems Technology14(3): 443–455.
44.
NashifADJonesDIHendersonJP (1985) Vibration Damping. Hoboken, NJ: John Wiley & Sons.
45.
NouriAAstarakiS (2014) Optimization of sound transmission loss through a thin functionally graded material cylindrical shell. Shock and Vibration2014: 814682.
46.
PlattenburgJSinghR (2015) Significant reduction of vibration and sound in plates at selected modes with combined active and passive damping patches. INTER-NOISE and NOISE-CON Congress and Conference Proceedings250(6): 879–887.
47.
PlattenburgJDreyerJTSinghR (2015a) Active and passive damping patches on a thin rectangular plate: a refined analytical model with experimental validation. Journal of Sound and Vibration353: 75–95.
48.
PlattenburgJDreyerJTSinghR (2015b) Modeling of active and passive damping patches with application to a transmission casing cover. SAE International Journal of Passenger Cars-Mechanical Systems8: 928–937.
49.
PlumpJHubbardJ (1986) Modeling of an active constrained layer damper. In: 12th international congress on acoustics, Toronto, ON, Canada, 24–31 July, Paper no. D41, The Technical Program Committee by the Executive Committee.
50.
PreumontA (2002) Vibration Control of Active Structures: An Introduction. Rotterdam: Springer.
51.
RayMFayeA (2009) Active structural-acoustic control of laminated composite plates using vertically/obliquely reinforced 1–3 piezoelectric composite patch. International Journal of Mechanics and Materials in Design5(2): 123–141.
52.
RoJBazA (1999) Control of sound radiation from a plate into an acoustic cavity using active constrained layer damping. Smart Materials and Structures8(3): 292.
53.
RochaTLDiasM (2015) Improved sound transmission loss in an automotive component using piezoceramic patches and dissipative shunt circuits. Journal of Intelligent Material Systems and Structures26(4): 476–786.
54.
RossDUngarEKerwinEJr (1960) Damping of plate flexural vibrations by means of viscoelastic laminae. In: RuzickaJ.E (Ed.), Structural Damping, Pergamon Press, Oxford, pp. 49–87.
55.
RoussosLA (1984) Noise transmission loss of a rectangular plate in an infinite baffle. The Journal of the Acoustical Society of America75(S1): S2–S3.
56.
RuzzeneMBazA (2000) Active/passive control of sound radiation and power flow in fluid-loaded shells. Thin-Walled Structures38(1): 17–42.
57.
SahuKCTuhkuriJReddyJ (2015) Active piezoelectric-structure acoustic control of a soft-core sandwich panel using volume velocity and a weighted sum of spatial gradient control metric. Journal of Vibration and Control23(15): 2391–2400.
58.
SakumaTOshimaT (2001) Numerical vibro-acoustic analysis of sound insulation performance of wall members based on a 3-D transmission model with a membrane/plate. Acoustical Science and Technology22(5): 367–369.
59.
SanadaAHigashiyamaKTanakaN (2015) Active control of sound transmission through a rectangular panel using point-force actuators and piezoelectric film sensors. The Journal of the Acoustical Society of America137(1): 458–469.
60.
ShahPRayM (2013) Active structural-acoustic control of laminated composite truncated conical shells using smart damping treatment. Journal of Vibration and Acoustics135(2): 021001.
61.
ShieldsWRoJBazA (1998) Control of sound radiation from a plate into an acoustic cavity using active piezoelectric-damping composites. Smart Materials and Structures7(1): 1.
62.
SirohiJChopraI (2000) Fundamental understanding of piezoelectric strain sensors. Journal of Intelligent Material Systems and Structures11(4): 246–257.
63.
SoongTTCostantinouMC (2014) Passive and Active Structural Vibration Control in Civil Engineering. Wien: Springer.
64.
TrindadeMABenjeddouA (2002) Hybrid active-passive damping treatments using viscoelastic and piezoelectric materials: review and assessment. Journal of Vibration and Control8(6): 699–745.
65.
TsaiYTHuangJH (2015) Parameters optimization of the laminated composite plate for sound transmission problem. International Journal of Mechanical, Aerospace, Industrial, Mechatronic and Manufacturing Engineering9(7): 1301–1304.
66.
UngarEEKerwinEMJr (1962) Loss factors of viscoelastic systems in terms of energy concepts. The Journal of the Acoustical Society of America34(7): 954–957.
67.
Van OverscheePDe MoorB (1996) Continuous-time frequency domain subspace system identification. Signal Processing52(2): 179–194.
VasquesCMdACardosoL (2011) Viscoelastic damping technologies: finite element modeling and application to circular saw blades. In: VasquesCMdADias RodriguesJ (eds) Vibration and Structural Acoustics Analysis. Dordrecht: Springer, pp. 207–264.
70.
WangTSokolinskyVSRajaramSet al. (2005) Assessment of sandwich models for the prediction of sound transmission loss in unidirectional sandwich panels. Applied Acoustics66(3): 245–262.
71.
WangYQinXHuangSet al. (2017) Structural-borne acoustics analysis and multi-objective optimization by using panel acoustic participation and response surface methodology. Applied Acoustics116: 139–151.
72.
XuZHuangQZhaoZ (2011) Topology optimization of composite material plate with respect to sound radiation. Engineering Analysis with Boundary Elements35(1): 61–67.
73.
YangHLiHZhengH (2016) A structural-acoustic optimization of two-dimensional sandwich plates with corrugated cores. Journal of Vibration and Control23: 3007–3022.
ZenkourA (2005) A comprehensive analysis of functionally graded sandwich plates: part 1—deflection and stresses. International Journal of Solids and Structures42(18): 5224–5242.
76.
ZhangDZhengL (2014) Active vibration control of plate partly treated with ACLD using hybrid control. International Journal of Aerospace Engineering2014: 432970.
77.
ZhengHLuCLeeHP (2005) Comparison between control strategies for active constrained layer damping treatment to control the sound radiation from a vibrating structure. The Journal of the Acoustical Society of America117(4): 2602–2602.
78.
ZhengLZhangDWangY (2011) Vibration and damping characteristics of cylindrical shells with active constrained layer damping treatments. Smart Materials and Structures20(2): 025008.
79.
ZhouJBhaskarAZhangX (2013) Optimization for sound transmission through a double-wall panel. Applied Acoustics74(12): 1422–1428.
80.
ZhouXYuDShaoXet al. (2016) Research and applications of viscoelastic vibration damping materials: a review. Composite Structures136: 460–480.
