Piezoelectric actuator/sensor modeling with finite element method using Chebyshev polinomials

Authors

  • Shpak A.N. Kuban State University, Krasnodar, Российская Федерация

UDC

539.3

Abstract

Piezoelectric sensors are widely used in the structural health monitoring applications. The failure of a number of the actuators can result in the wrong answer of the whole monitoring system. Therefore dynamic behaviour of the damaged sensors should be investigated. For this purpose a coupled mathematical model of the sensor attached to the composite layer must be developed. In such a model the actuator could be simulated with a high precision finite element method. In this paper the usage of the Chebyshev and Gauss-Legendre-Lobatto polynomials in the high precision finite element model is discussed. The convergence of the displacements and discrepancy between the solution and the boundary conditions are analyzed. The resonance properties of the actuator are studied. The advisability of the Chebyshev polynomials usage for the finite element actuator model is discussed in the conclusion.

Keywords:

high precision finite element method, Chebyshev polynomials, Gauss-Legendre-Lobatto polynomials, piezoelasticity, sensor, resonance, integral approach, coupled model

Acknowledgement

Работа выполнена при финансовой поддержке РФФИ (14-08-00370).

Author Info

Alisa N. Shpak

младший научный сотрудник Институт математики, механики и информатики Кубанского государственного университета

e-mail: alisashpak7@gmail.com

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Issue

2015. No. 4

Pages

75-85

Submitted

2015-12-14

Published

2015-12-28

How to Cite

Shpak A.N. Piezoelectric actuator/sensor modeling with finite element method using Chebyshev polinomials. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2015, no. 4, pp. 75-85. (In Russian)

Copyright (c) 2015 Shpak A.N.

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This work is licensed under a Creative Commons Attribution 4.0 International License.