Optimal position of piezoelectric actuators for active vibration reduction of beams

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 calcu...

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Main Authors: Kouider Bendine, Polat Alper
Format: Article
Language:English
Published: Sciendo 2020-03-01
Series:Applied Mathematics and Nonlinear Sciences
Subjects:
Online Access:https://doi.org/10.2478/amns.2020.1.00036
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author Kouider Bendine
Polat Alper
author_facet Kouider Bendine
Polat Alper
author_sort Kouider Bendine
collection DOAJ
description 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.
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spelling doaj.art-7524e86c22a343ba9dfca7240fede2222022-12-21T21:19:19ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562020-03-015138539210.2478/amns.2020.1.00036Optimal position of piezoelectric actuators for active vibration reduction of beamsKouider Bendine0Polat Alper1Mechanics of structures and solids laboratory, Department of mechanics, Faculty of technology, DjillaliLiabès University of SidiBel-Abbès, AlgeriaConstruction Technology Department, Munzur University, Tunceli, TurkeyThis 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.https://doi.org/10.2478/amns.2020.1.00036piezoelectricoptimizationgenetic algorithmactive vibration control35j05
spellingShingle Kouider Bendine
Polat Alper
Optimal position of piezoelectric actuators for active vibration reduction of beams
Applied Mathematics and Nonlinear Sciences
piezoelectric
optimization
genetic algorithm
active vibration control
35j05
title Optimal position of piezoelectric actuators for active vibration reduction of beams
title_full Optimal position of piezoelectric actuators for active vibration reduction of beams
title_fullStr Optimal position of piezoelectric actuators for active vibration reduction of beams
title_full_unstemmed Optimal position of piezoelectric actuators for active vibration reduction of beams
title_short Optimal position of piezoelectric actuators for active vibration reduction of beams
title_sort optimal position of piezoelectric actuators for active vibration reduction of beams
topic piezoelectric
optimization
genetic algorithm
active vibration control
35j05
url https://doi.org/10.2478/amns.2020.1.00036
work_keys_str_mv AT kouiderbendine optimalpositionofpiezoelectricactuatorsforactivevibrationreductionofbeams
AT polatalper optimalpositionofpiezoelectricactuatorsforactivevibrationreductionofbeams