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Influence of damping and fluid loading on the plate vibration control

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Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to present the effect of acknowledging viscous damping, structural internal damping and fluid loading on active vibration control of a circular plate in case of axially symmetrical vibrations. It was assumed that a planar vibrating structure located in a finite baffle and interacting with fluid is driven by a periodic force with constant amplitude, so the structure radiates the acoustic waves into a surrounding fluid and the axially-symmetrically located circular piezoelectric actuators are used to reduce its vibrations. For the purpose of control strategy designing process the continuous model derived from physical principles for the system under consideration has been developed. Next, the linear state model was obtained by reduction and approximation of the continuous model using the orthogonal series method. After that, the acquired model was used to produce body plots and to solve corresponding Riccati equation. Obtained control forces led to significant reduction of the plate vibration and attenuation of accompanied acoustic waves. The simulations of the active cancellation of the plate vibrations were made with a Simulink/Matlab computer program.
Rocznik
Strony
531--540
Opis fizyczny
Bibliogr. 16 poz., rys.
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autor
Bibliografia
  • [1] ASTROM K., WITTENMARK B., Computer Controlled Systems. Theory and Design, Pren. Hall, 1990.
  • [2] CRIGHTON D.G., The 1988 Rayleigh Medal Lecture: Fluid loading – the interaction between sound and vibration, Journal of Sound and Vibration, 133, 1, 1–27 (1989).
  • [3] DAVIES H.G., Acoustic radiation from fluid-loaded rectangular plates, MIT, report No. 71476-1.
  • [4] DINGGUO Z., CROCKER M.J., Sound power radiated from a plate, Archives of Acoustics (submitted for publication).
  • [5] FULLER C.R., Active control of sound transmission/radiation from elastic plates by vibration inputs I: Analysis, Journal of Sound and Vibration, 136, 1, 1–15 (1990).
  • [6] GU Y., FULLER C.R., Active control of sound radiation from a fluid-loaded rectangular uniform plate, Acoustical Society of America, 93, 337–345 (1993).
  • [7] JUNGER M.C., FEIT D., Sound, Structures and Their Interaction, MIT Press, Boston 1986.
  • [8] KWAK M.K., KIM K.C., Axisymmetric vibration of circular plates in contact with fluid, Journal of Sound and Vibration, 146, 3, 381–389 (1991).
  • [9] LENIOWSKA L., Acoustic power of fluid-loaded circular plate located in finite baffle, Archives of Acoustic, 22, 4, 423–435 (1997).
  • [10] LENIOWSKA L., Vibrations of circular plate interacting with an ideal compressible fluid, Archives of Acoustics, 24, 4, 435–449 (1999).
  • [11] LENIOWSKA L., Active vibration control of a circular plate, Pub. Office of UR, Rzeszów 2006.
  • [12] LENIOWSKA L., Vibration control of a fluid-loaded circular plate via pole placement, Mechanics, 27, 1, 20–26 (2008).
  • [13] LEVINE H., LEPPINGTON F.G., A note on the acoustic power output of a circular plate, Journal of Sound and Vibration, 121, 2, 269–275 (1988).
  • [14] MEIROVITCH L., A theory for the optimal control of the far-field acoustic pressure radiating from submerged structures, Acoustical Society of America, 93, 356–362 (1993).
  • [15] RAYLEIGH J.W., Theory of Sound, MacMillan, London 1929.
  • [16] RDZANEK W., Acoustic radiation of circular plate including the attenuation effect and influence of surroundings, Archives of Acoustics, 16, 3–4, 581–590 (1991).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT8-0014-0017
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