Archives of Acoustics, 42, 2, pp. 273–286, 2017

Active Transient Acousto-Structural Response Control of a Smart Cavity-Coupled Circular Plate System

Iran University of Science and Technology
Iran, Islamic Republic of

Iran University of Science and Technology
Iran, Islamic Republic of

The transient vibroacoustic response suppression of a piezo-coupled sandwich circular plate backed by a rigid-walled cylindrical acoustic enclosure is investigated. Problem formulation is based on the linear acoustic wave theory, Kirchhoff thin plate model, fluid/structure compatibility relations, Rayleigh integral formula, and active damping control (ADC) strategy. Matlab’s Genetic Algorithm (GA) is utilized to identify and optimize the feedback controller gain parameter based on a multi-objective performance index function. Durbin’s numerical Laplace inversion scheme is then used to calculate the key acousto-structural response parameters due to a transverse impulsive shock force for selected cavity depths. Numerical simulations demonstrate satisfactory performance of adopted control methodology in effective suppression of panel displacement response and radiated external sound pressure for enclosures of shallow and moderate depths. Limiting cases are considered and accuracy of the proposed model is rigorously verified.
Keywords: sound radiation; structural-borne noise control; coupled multi-field problem; piezoelectric disc actuator; cylindrical enclosure; GA-tuned controller
Full Text: PDF


ABAQUS. Analysis User’s Manual Version 6.11 On-line Documentation.

Abramowitz M., Stegun I. (1964), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 3rd ed, New York: National Bureau of Standards.

Al-Bassyiouni M., Balachandran B. (2005), Sound transmission through a flexible plate into an enclosure: structural-acoustics model, Journal of Sound and Vibrations, 284, 467-486.

Azzouz M.S., Ro J. (2002), Control of sound radiation of an active constrained layer damping plate/cavity system using the structural intensity approach, Journal of Vibration and Control, 8, 903-918.

Balachandran B., Sampath A. (1996), Active control of interior noise in a three-dimensional enclosure, Smart Materials and Structures, 5, 89-97.

Caresta M., Kessissoglou N.J. (2010), Acoustic signature of a submarine hull under harmonic excitation, Applied Acoustics, 71, 17-31.

Casadei F., Dozio L., Ruzzene M., Cunefare K.A. (2010), Periodic shunted arrays for the control of noise radiation in an enclosure, Journal of Sound and Vibrations, 329, 3632-3646.

Cheng L., Nicolas J. (1992), Radiation of sound into a cylindrical enclosure from a point driven end plate with general boundary conditions, Journal of Acoustical Society of America, 91, 1504-1513.

Comrie J.L., Korde U.A. (2012), Vibroacoustic studies on sounding rocket bulkheads, Proceedings of SPIE - The International Society for Optical Engineering, 8341, 17-33.

Duan W.H., Quek S.T., Wang Q. (2005), Free vibration analysis of piezoelectric coupled thin and thick annular plate, Journal of Sound and Vibrations, 281, 119-139.

Durbin F. (1973), Numerical inversion of Laplace transforms: an effective improvement of Dubner and Abate’s method, Computer Journal, 17, 371-376.

Fuller C.R. (1990), Active control of sound transmission/radiation from elastic plates by vibration inputs, I-analysis, Journal of Sound and Vibrations, 136, 1-15.

Genetic Algorithm Toolbox Available

Gorman D.G., Reese J.M., Horacek J., Dedouch K. (2001), Vibration analysis of a circular disc backed by a cylindrical cavity, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 215, 1303-1311.

Gorman D.G., Trendafilova I., Mulholland A.J., Horacek J. (2008), Vibration analysis of a circular plate in interaction with an acoustic cavity leading to extraction of structural modal parameters, Thin walled Structures, 46, 878-886.

Hasheminejad S.M., Shakeri R., Rezaei S. (2012), Vibro-acoustic response of an elliptical plate-cavity coupled system to external shock loads, Applied Acoustics, 73, 757-769.

Hasheminejad S.M., Alaei-Varnosfaderani M. (2012), Vibroacoustic response and active control of a fluid-filled functionally graded piezoelectric material composite cylinder, Journal of Intelligent Materials Systems and Structures, 23, 775-790.

Hasheminejad S.M., Keshavarzpour H. (2013), Active sound radiation control of a thick piezolaminated smart rectangular plate, Journal of Sound and Vibrations, 332, 4798-4816.

Hasheminejad S.M., Rabbani V. (2015), Active damping of transient sound radiation from a smart piezocomposite hollow cylinder, Archives of Acoustics, 40, 359-381.

Jin G., Liu X., Liu Z., Yang T. (2011), Active control of structurally radiated sound from an elastic cylindrical shell, Journal of Marine Science and Application, 10, 88-97.

Junger M.C, Feit D. (1986), Sound, Structures and Their Interaction, 3rd ed, Cambridge: MIT Press.

Kim J., Ko B., Lee J.K., Cheong C.C. (1999), Finite element modeling of a piezoelectric smart structure for the cabin noise problem, Smart Materials and Structures, 8, 380-389.

Koshigoe S., Murdock J.W. (1993) A new approach for active control of sound transmission through an elastic plate backed by a rectangular cavity, Journal of Acoustical Society of America, 94, 900-907.

Nashif A.D., Jones D.I.G., Henderson J.P. (1986), Vibration Damping. New York: Wiley.

Niekerk J.L., Tongue B.H. (1997), On the active control of transient noise transmission, Applied Acoustics, 50, 1-22.

Niezrecki C., Cudney H.H. (2001), Feasibility to control launch vehicle internal acoustic using piezoelectric actuators, Journal of Intelligent Material Systems and Structures, 12, 647-660.

Pan J., Hansen C.H. (1991), Active control of noise transmission through a panel into a cavity III: Effect of the actuator location, Journal of Acoustical Society of America, 90, 1493-1501.

Rao S.S. (2007), Vibration of Continuous Systems, New York: Wiley.

Ray M.C., Reddy J.N. (2004), Performance of piezoelectric fiber reinforced composites for active structural-acoustic control of laminated composite plates, IEEE Transactions Ultrasonics Ferroelectrics and Frequency Control, 51, 1477-1490.

Ray M.C., Faye A., Patra S., Bhattacharyya R. (2009), Theoretical and experimental investigations on the active structural-acoustic control of a thin plate using a vertically reinforced 1-3 piezoelectric composite, Smart Materials and Structures, 18, 1-13.

Ro J., Baz A. (1999), Control of sound radiation from a plate into an acoustic cavity using active constrained layer damping, Smart Materials and Structures, 8, 292-300.

Sampath A., Balachandran B. (1999), Active control of multiple tones in an enclosure, Journal of Acoustical Society of America, 106, 211-225.

Shakeri R., Younesian D. (2015), Broad-band noise mitigation in vibrating annular plates by dynamic absorbers, International Journal of Structural Stability and Dynamics, 16, 1-30.

Shields W., Ro J., Baz A. (1998), Control of sound radiation from a plate into an acoustic cavity using active piezoelectric–damping composites, Smart Materials and Structures, 7, 1-11.

Veeramani S., Wereley N.M. (1996), Hybrid passive/active damping for robust multivariable acoustic control in composite plates, Proceeding SPIESymp Smart Materials and Structures, 374-387.

Vel S.S., Baillargeon B.P. (2005), Analysis of static deformation vibration and active damping of cylindrical composite shells with piezoelectric shear actuators, Journal of Vibration and Acoustics, 127, 395-407.

Wang Q., Quek S.T., Sun C.T., Liu X. (2001), Analysis of piezoelectric coupled circular plate, Smart Materials and Structures, 10, 229-39.

Yang X., Lang J.H., Slocum A.H. (2007), Circular plate electrostatic zipping actuator for the application of a tunable electromagnetic cavity resonator, IEEE, 655-658.

DOI: 10.1515/aoa-2017-0030

Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN)