Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators

Abstract In this paper, an active control is used to suppress the flutter vibration of a support excitation beam subjected to a follower force, using piezoelectric sensors/actuators. The beam is fixed to a motion support from one end and the other end is subjected to a follower force. The governing...

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Main Authors: Mohammad Azadi, Emad Azadi, S. Ahmad Fazelzadeh
Format: Article
Language:English
Published: Marcílio Alves
Series:Latin American Journal of Solids and Structures
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001202403&lng=en&tlng=en
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author Mohammad Azadi
Emad Azadi
S. Ahmad Fazelzadeh
author_facet Mohammad Azadi
Emad Azadi
S. Ahmad Fazelzadeh
author_sort Mohammad Azadi
collection DOAJ
description Abstract In this paper, an active control is used to suppress the flutter vibration of a support excitation beam subjected to a follower force, using piezoelectric sensors/actuators. The beam is fixed to a motion support from one end and the other end is subjected to a follower force. The governing equations of motion are derived based on the generalized function theory and Lagrange-Rayleigh-Ritz technique, considering the Euler-Bernoulli beam theory. A robust Lyapunov based control scheme is applied to the system to suppress the induced flutter vibrations of the beam. The mathematical modeling of the beam with control algorithm is derived. Finally the system is simulated and the effects of the type of excitation, the magnitude of the follower force, instrument disturbances, and parameter uncertainties are studied. The simulation results show the applicability and robustness of the controller algorithm.
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spelling doaj.art-d015406177e34754b16b5a47181bf4ab2022-12-22T03:05:09ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782512122403241610.1590/1679-78252047S1679-78252015001202403Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/ActuatorsMohammad AzadiEmad AzadiS. Ahmad FazelzadehAbstract In this paper, an active control is used to suppress the flutter vibration of a support excitation beam subjected to a follower force, using piezoelectric sensors/actuators. The beam is fixed to a motion support from one end and the other end is subjected to a follower force. The governing equations of motion are derived based on the generalized function theory and Lagrange-Rayleigh-Ritz technique, considering the Euler-Bernoulli beam theory. A robust Lyapunov based control scheme is applied to the system to suppress the induced flutter vibrations of the beam. The mathematical modeling of the beam with control algorithm is derived. Finally the system is simulated and the effects of the type of excitation, the magnitude of the follower force, instrument disturbances, and parameter uncertainties are studied. The simulation results show the applicability and robustness of the controller algorithm.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001202403&lng=en&tlng=enRobust Lyapunov based controlSmart beamSupport excitationPiezoelectric layersFollower force
spellingShingle Mohammad Azadi
Emad Azadi
S. Ahmad Fazelzadeh
Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators
Latin American Journal of Solids and Structures
Robust Lyapunov based control
Smart beam
Support excitation
Piezoelectric layers
Follower force
title Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators
title_full Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators
title_fullStr Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators
title_full_unstemmed Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators
title_short Control of a Support Excitation Smart Beam Subjected to a Follower Force with Piezoelectric Sensors/Actuators
title_sort control of a support excitation smart beam subjected to a follower force with piezoelectric sensors actuators
topic Robust Lyapunov based control
Smart beam
Support excitation
Piezoelectric layers
Follower force
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001202403&lng=en&tlng=en
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