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TECHNICAL PAPERS

Shape Control of Flexural Vibrations of Circular Plates by Shaped Piezoelectric Actuation

[+] Author and Article Information
Manfred Nader, Hubert Gattringer, Michael Krommer, Hans Irschik

Division of Technical Mechanics, Johannes Kepler University of Linz, A-4040 Linz, Austria

J. Vib. Acoust 125(1), 88-94 (Jan 06, 2003) (7 pages) doi:10.1115/1.1522418 History: Received November 01, 2001; Revised July 01, 2002; Online January 06, 2003
Copyright © 2003 by ASME
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References

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Irschik,  H., 2002, “A Review on Static and Dynamic Shape Control of Structures by Piezoelectric Actuation,” Journal of Engineering Structures,24, pp. 5–11.
Lee,  C. K., 1990, “Theory of Laminated Piezoelectric Plates for the Design of Distributed Sensors/Actuators. Part I: Governing Equations and Reciprocal Relationship,” J. Acoust. Soc. Am., 87, pp. 1144–1158.
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Leissa, A. W., 1969, Vibration of Plates, National Aeronautics And Space Administration, Washington, DC.
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Tauchert,  T. R., 1999, “Application of the Potential Function Method in Piezothermoelasticity: Solutions for Composite Circular Plates,” J. Therm. Stresses, 22, pp. 387–420.
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Irschik, H., Krommer, M., and Pichler, U., 1999, “Shaping of Distributed Piezoelectric Sensors for Flexural Vibrations of Smart Beams.” Proceedings, SPIE’s 6th Annual International Symposium on Smart Structures and Materials, Mathematics and Control in Smart Structures, Varadan, V. V., ed., SPIE Vol. 3667, pp. 418–426.
Irschik, H., Krommer, M., and Pichler, U., 1999, “Annihilation of Beam Vibrations by Shaped Piezoelectric Actuators: Coupled Theory,” CD-ROM Proceedings, 137th Regular Meeting of the Acoustical Society of America, 2nd Convention of the EAA: Forum Acusticum, integrating the 25th German Acoustics DAGA Conference.
Irschik,  H., Pichler,  U., and Krommer,  M., 2000, “Shaping of Self-Sensing Piezoelectric Layers for Static Shape Control of Smart Beams,” Journal of Structural Control,7, pp. 173–190.
Irschik,  H., and Pichler,  U., 2001, “Dynamic Shape Control of Solids and Structures by Thermal Expansion Strains,” J. Therm. Stresses, 24, pp. 565–576.
Kim,  J., and Ko,  B., 1998, “Optimal Design of a Piezoelectric Smart Structure for Noise Control,” Smart Mater. Struct., 7, pp. 801–808.
Shields,  W., 1998, “Control of Sound Radiation from a Plate into an Acoustic Cavity Using Active Piezoelectric-Damping Composites,” Smart Mater. Struct., 7, pp. 1–11.
Irschik,  H., Krommer,  M., Belyaev,  A. K., and Schlacher,  K., 1998, “Shaping of Piezoelectric Sensors/Actuators for Vibrations of Slender Beams: Boupled Theory and Inappropriate Shape Function,” J. Intell. Mater. Syst. Struct., 9, pp. 546–554.
Tiersten, H. F., 1969, Piezoelectric Plate Vibrations, Plenum, New York.

Figures

Grahic Jump Location
Cross-section of the smart plate
Grahic Jump Location
Computed FE-results for static deformation in the case of imposed pressure and piezoelectric actuation; linear tetrahedron three-dimensional solid elements; comparison with the analytical result.
Grahic Jump Location
Frequency response of the smart plate in the case of imposed pressure and piezoelectric actuation using linear tetrahedron three-dimensional solid elements

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