Modeling of a Circular Plate with Piezoelectric Actuators of Arbitrary Shape |
M. Wiciaka and R. Trojanowski b
aCracow University of Technology, Institute of Mathematics, Warszawska St. 24, 31-155 Cracow, Poland bAGH - University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Department of Mechanics and Vibroacoustics, al. A. Mickiewicza 30, 30-059 Krakow, Poland |
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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. |
DOI: 10.12693/APhysPolA.123.1048 PACS numbers: 43.40.At, 43.40.Vn |