<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper investigates the optimal placement of piezoelectric actuators for the active vibration attenuation of beams. The governing equation of the beam is achieved by coupled first order shear deformation theory with two node element. The velocity feedback controller is designed and used to calculate the feedback gain and then apply to the beam. In order to search for the optimal placement of the piezoelectric actuators, a new optimization criterion is considered based on the use of genetic algorithm to reduce the displacement output of the beam. The proposed optimization technique has been tested for two boundary conditions configurations; clamped -free and clamped-clamped beam. Numerical examples have been provided to analyze the effectiveness of the proposed technic.</p></abstract>

This paper investigates the optimal placement of piezoelectric actuators for the active vibration attenuation of beams. The governing equation of the beam is achieved by coupled first order shear deformation theory with two node element. The velocity feedback controller is designed and used to calculate the feedback gain and then apply to the beam. In order to search for the optimal placement of the piezoelectric actuators, a new optimization criterion is considered based on the use of genetic algorithm to reduce the displacement output of the beam. The proposed optimization technique has been tested for two boundary conditions configurations; clamped -free and clamped-clamped beam. Numerical examples have been provided to analyze the effectiveness of the proposed technic.

Optimal position of piezoelectric actuators for active vibration reduction of beams

Mechanics of structures and solids laboratory

Department of mechanics, Faculty of technology

DjillaliLiabès University of SidiBel-Abbès

Applied Mathematics and Nonlinear Sciences

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

This paper investigates the optimal placement of piezoelectric actuators for the active vibration attenuation of beams. The governing equation of the beam is...

Configuration	fitness	position
CF	9.088e-05	[1,2,3,6]
CC	3.925e-05	[4,5,6,7]

Proprieties	T300/976 [25]	PZT G-1195
Young’s modulusE(N/m²)	150×10⁹	63× 10⁹
Poisson’s ratio	0.3	0.3
Shear modulus G	7.1×10⁹	24.2× 10⁹
Densityρ(kgm⁻³)	1600	7600

Piezoelectric constante₃₁(cm⁻²)	-	17.584
Dielectric constant ∈ 33 (Fm⁻²)	-	15.0× 10⁻⁹

Optimal position of piezoelectric actuators for active vibration reduction of beams

Published Online: Mar 31, 2020

Page range: 385 - 392

Received: Apr 25, 2019

Accepted: May 29, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00036

Keywords
piezoelectric, optimization, genetic algorithm, active vibration control

© 2020 Bendine Kouider et al., published by Sciendo

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

Fig. 1

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Optimal configuration of the piezoelectric actuators

Material proprieties

Optimal position of piezoelectric actuators for active vibration reduction of beams

Published Online: Mar 31, 2020

Page range: 385 - 392

Received: Apr 25, 2019

Accepted: May 29, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00036

Keywordspiezoelectric, optimization, genetic algorithm, active vibration control

© 2020 Bendine Kouider et al., published by Sciendo

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

Fig. 1

Fig. 2

Fig. 3

Fig. 4

Fig. 5

Fig. 6

Fig. 7

Optimal configuration of the piezoelectric actuators

Material proprieties

Keywords
piezoelectric, optimization, genetic algorithm, active vibration control