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Analytical Solution of the Problem of Vibration of Plates with Piezoelectric Actuators with Arbitrary Shape in Distribution Formulation

100%
Wiciak M.
Acta Physica Polonica A
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2012
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vol. 121
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issue 1A
A-142-A-147
EN
This paper is concerned with mathematical aspects of modelling vibration of a plate with piezoelectric actuators. Particularly, a thin Kirchhoff-Love plate with arbitrary shaped actuators (e.g. triangles, parallelograms, discs) is considered. 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. Finally, the formula for the solution of the Cauchy problem in the class of absolutely continuous tempered distribution-valued functions is derived.
2
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Modeling of a Circular Plate with Piezoelectric Actuators of Arbitrary Shape

63%
Wiciak M., Trojanowski R.
Acta Physica Polonica A
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2013
|
vol. 123
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issue 6
1048-1053
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.
3
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Numerical Analysis of the Effectiveness of Two-part Piezoactuators in Vibration Reduction of Plates

63%
Wiciak M., Trojanowski R.
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vol. 125
|
issue 4A
A-183-A-189
EN
This paper is concerned with application of piezoelements with a step change of material properties occurring in the element's plane. Each part of an element may be controlled independently. Analytical models for different shape and location of the inner part of a two-part piezoactuator are developed. Finally, results of numerical simulations concerning effectiveness in vibration reduction of piezoactuators constructed this way are presented.
4
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An Application of Fractional Brownian Motion to Vessel Identification Based on its Sound Spectrum

51%
Wiciak M., Gloza I., Jóźwiak R., Wiciak P.
Acta Physica Polonica A
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2015
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vol. 128
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issue 1A
A-46-A-49
EN
The paper deals with the problem of vessel identification. The presented method is based on fractional Brownian analysis of vessel power spectrum. The measurements for three vessels were carried out with the use of a mobile measuring module in the Gulf of Gdansk; next, the information obtained from sound spectra was identified. Two classifiers connected with fractional Brownian motion were used: the first-order increments and the standard deviation. Finally, classification decision was made using the Mahalanobis distance. Numerical experiments were performed using MATLAB.
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