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2013 | 123 | 6 | 1048-1053
Article title

Modeling of a Circular Plate with Piezoelectric Actuators of Arbitrary Shape

Content
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Languages of publication
EN
Abstracts
EN
This paper is concerned with mathematical aspects and numerical modeling of vibration of a circular plate with piezoelectric actuators. Particularly, a thin Kirchhoff-Love plate with arbitrary shaped actuators (e.g. pie-shaped, trapezoid, disc, and rectangular) is considered. In the theoretical model, the moments that act upon a structure and are induced by piezoelectric actuators are described by the generalized tensor product of a distribution and distribution-valued function. Numerical computations utilize the FEM approach supported by Ansys software.
Keywords
EN
Publisher

Year
Volume
123
Issue
6
Pages
1048-1053
Physical description
Dates
published
2013-06
Contributors
author
  • Cracow University of Technology, Institute of Mathematics, Warszawska St. 24, 31-155 Cracow, Poland
  • AGH - University of Science and Technology, Faculty of Mechanical Engineering and Robotics Department of Mechanics and Vibroacoustics, al. A. Mickiewicza 30, 30-059 Krakow, Poland
References
  • [1] E.K. Dimitriadis, C.R. Fuller, C.A. Rogers, AIAA Journal 29, 1771 (1991)
  • [2] E.K. Dimitriadis, C.R. Fuller, C.A. Rogers, 10.1115/1.2930143. J. Vib. Acoust. 113, 100 (1991)
  • [3] E.M. Sekouri, Y. Hu, A.D. Ngo, Mechatronics 14, 1007 (2004)
  • [4] M. Sullivan, J.E. Hubbard, Jr., S.E. Burke, J. Acoust. Soc. Amer. 99, 2965 (1996)
  • [5] J. Wiciak, Archives of Acoustics 32, 265 (2007)
  • [6] A. Brański, M. Borkowski, S. Szela, Acta Phys. Pol. A 118, 17 (2010)
  • [7] A. Brański, G. Lipiński, Acta Phys. Pol. A 119, 936 (2011)
  • [8] M. S. Kozień, J. Wiciak, Acta Phys. Pol. A 116, 348 (2009)
  • [9] R. Filipek, J. Wiciak, European Physical Journal - Special Topics 154, 57 (2008)
  • [10] M.S. Kozień, B. Koltowski, Acta Phys. Pol. A 119, 1005 (2011)
  • [11] M. Wiciak, Acta Phys. Polon. A 121, A-142 (2012)
  • [12] W. Rudin, Functional Analysis, McGraw-Hill, New York, 1973
  • [13] M. Wiciak, Univ. Iagel. Acta Math. 42, 31 (2004)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv123n618kz
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