Optimal position of piezoelectric actuators for active vibration reduction of beams

[1]C.Y. Chee, L. Tong and G.P. Steven, A review on the modelling of piezoelectric sensors and actuators incorporated in intelligent structures, J. Intell. Mater. Syst. Struct. 9 (1998), pp. 3–19.CheeC.Y.TongL.StevenG.P.A review on the modelling of piezoelectric sensors and actuators incorporated in intelligent structuresJ. Intell. Mater. Syst. Struct9199831910.1177/1045389X9800900101Search in Google Scholar

[2]C.C. Fuller, S. Elliott and P.A. Nelson, Active Control of Vibration, Academic Press, 1996.FullerC.C.ElliottS.NelsonP.A.Active Control of VibrationAcademic Press199610.1016/B978-012269440-0/50006-6Search in Google Scholar

[3]A. Sénéchal, Réduction de vibrations de structure complexe par shunts piézoélectriques: Application aux turbomachines, Conservatoire national des arts et metiers-CNAM, 2011.SénéchalA.Réduction de vibrations de structure complexe par shunts piézoélectriques: Application aux turbomachinesConservatoire national des arts et metiers-CNAM2011Search in Google Scholar

[4]K. Bendine, Z. Satla, F.B. Boukhoulda and M. Nouari, Active Vibration damping of Smart composite beams based on system identification technique, Curved Layer. Struct. 5 (2018), pp. 43–48.BendineK.SatlaZ.BoukhouldaF.B.NouariM.Active Vibration damping of Smart composite beams based on system identification techniqueCurved Layer. Struct52018434810.1515/cls-2018-0004Search in Google Scholar

[5]H.S. Tzou, A new distributed sensor and actuator theory for “intelligent” shells, J. Sound Vib. 153 (1992), pp. 335–349.TzouH.S.A new distributed sensor and actuator theory for “intelligent” shellsJ. Sound Vib.153199233534910.1016/S0022-460X(05)80010-0Search in Google Scholar

[6]R.L. Wankhade and K.M. Bajoria, Free vibration and stability analysis of piezolaminated plates using the finite element method, Smart Mater. Struct. 22 (2013), pp. 125040.WankhadeR.L.BajoriaK.M.Free vibration and stability analysis of piezolaminated plates using the finite element methodSmart Mater. Struct.22201312504010.1088/0964-1726/22/12/125040Search in Google Scholar

[7]R.L. Wankhade and K.M. Bajoria, Buckling analysis of piezolaminated plates using higher order shear deformation theory, Int. J. Compos. Mater. 3 (2013), pp. 92–99.WankhadeR.L.BajoriaK.M.Buckling analysis of piezolaminated plates using higher order shear deformation theoryInt. J. Compos. Mater320139299Search in Google Scholar

[8]H. Allik and T.J. Hughes, Finite element method for piezoelectric vibration, Int. J. Numer. Methods Eng. 2 (1970), pp. 151–157.AllikH.HughesT.J.Finite element method for piezoelectric vibrationInt. J. Numer. Methods Eng2197015115710.1002/nme.1620020202Search in Google Scholar

[9]K. Bendine, F.B. Boukhoulda, M. Nouari and Z. Satla, Active vibration control of functionally graded beams with piezoelectric layers based on higher order shear deformation theory, Earthq. Eng. Eng. Vib. 15 (2016), pp. 611–620.BendineK.BoukhouldaF.B.NouariM.SatlaZ.Active vibration control of functionally graded beams with piezoelectric layers based on higher order shear deformation theoryEarthq. Eng. Eng. Vib15201661162010.1007/s11803-016-0352-ySearch in Google Scholar

[10]A. Benjeddou, M.A. Trindade and R. Ohayon, A unified beam finite element model for extension and shear piezoelectric actuation mechanisms, J. Intell. Mater. Syst. Struct. 8 (1997), pp. 1012–1025.BenjeddouA.TrindadeM.A.OhayonR.A unified beam finite element model for extension and shear piezoelectric actuation mechanismsJ. Intell. Mater. Syst. Struct819971012102510.1177/1045389X9700801202Search in Google Scholar

[11]K. Chandrashekhara and A.N. Agarwal, Active vibration control of laminated composite plates using piezoelectric devices: a finite element approach, J. Intell. Mater. Syst. Struct. 4 (1993), pp. 496–508.ChandrashekharaK.AgarwalA.N.Active vibration control of laminated composite plates using piezoelectric devices: a finite element approachJ. Intell. Mater. Syst. Struct4199349650810.1177/1045389X9300400409Search in Google Scholar

[12]K. Bendine, F.B. Boukhoulda, B. Haddag and M. Nouari, Active vibration control of composite plate with optimal placement of piezoelectric patches, Mech. Adv. Mater. Struct. (2017),.BendineK.BoukhouldaF.B.HaddagB.NouariM.Active vibration control of composite plate with optimal placement of piezoelectric patchesMech. Adv. Mater. Struct.201710.1080/15376494.2017.1387324Search in Google Scholar

[13]I. Bruant, L. Gallimard and S. Nikoukar, Optimal piezoelectric actuator and sensor location for active vibration control, using genetic algorithm, J. Sound Vib. 329 (2010), pp. 1615–1635.BruantI.GallimardL.NikoukarS.Optimal piezoelectric actuator and sensor location for active vibration control, using genetic algorithmJ. Sound Vib32920101615163510.1016/j.jsv.2009.12.001Search in Google Scholar

[14]F. Peng, A. Ng and Y.-R. Hu, Actuator placement optimization and adaptive vibration control of plate smart structures, J. Intell. Mater. Syst. Struct. 16 (2005), pp. 263–271.PengF.NgA.HuY.-R.Actuator placement optimization and adaptive vibration control of plate smart structuresJ. Intell. Mater. Syst. Struct16200526327110.1177/1045389X05050105Search in Google Scholar

[15]A.H. Daraji and J.M. Hale, Reduction of structural weight, costs and complexity of a control system in the active vibration reduction of flexible structures, Smart Mater. Struct. 23 (2014), pp. 95013.DarajiA.H.HaleJ.M.Reduction of structural weight, costs and complexity of a control system in the active vibration reduction of flexible structuresSmart Mater. Struct.2320149501310.1088/0964-1726/23/9/095013Search in Google Scholar

[16]M. Biglar, M. Gromada, F. Stachowicz and T. Trzepieciński, Optimal configuration of piezoelectric sensors and actuators for active vibration control of a plate using a genetic algorithm, Acta Mech. 226 (2015), pp. 3451–3462.BiglarM.GromadaM.StachowiczF.TrzepiecińskiT.Optimal configuration of piezoelectric sensors and actuators for active vibration control of a plate using a genetic algorithmActa Mech22620153451346210.1007/s00707-015-1388-1Search in Google Scholar

[17]D. Chhabra, G. Bhushan and P. Chandna, Optimal placement of piezoelectric actuators on plate structures for active vibration control via modified control matrix and singular value decomposition approach using modified heuristic genetic algorithm, Mech. Adv. Mater. Struct. 23 (2016), pp. 272–280.ChhabraD.BhushanG.ChandnaP.Optimal placement of piezoelectric actuators on plate structures for active vibration control via modified control matrix and singular value decomposition approach using modified heuristic genetic algorithmMech. Adv. Mater. Struct23201627228010.1080/15376494.2014.949932Search in Google Scholar

[18]D. Halim and S.O. Reza Moheimani, An optimization approach to optimal placement of collocated piezoelectric actuators and sensors on a thin plate, Mechatronics 13 (2003), pp. 27–47.HalimD.Reza MoheimaniS.O.An optimization approach to optimal placement of collocated piezoelectric actuators and sensors on a thin plateMechatronics132003274710.1016/S0957-4158(01)00079-4Search in Google Scholar

[19]K.R. Kumar and S. Narayanan, Active vibration control of beams with optimal placement of piezoelectric sensor/actuator pairs, Smart Mater. Struct. 17 (2008), pp. 55008.KumarK.R.NarayananS.Active vibration control of beams with optimal placement of piezoelectric sensor/actuator pairsSmart Mater. Struct.1720085500810.1088/0964-1726/17/5/055008Search in Google Scholar

[20]W. Liu, Z. Hou and M.A. Demetriou, A computational scheme for the optimal sensor/actuator placement of flexible structures using spatial measures, Mech. Syst. Signal Process. 20 (2006), pp. 881–895.LiuW.HouZ.DemetriouM.A.A computational scheme for the optimal sensor/actuator placement of flexible structures using spatial measuresMech. Syst. Signal Process20200688189510.1016/j.ymssp.2005.08.030Search in Google Scholar

[21]A.M. Sadri, J.R. Wright and R.J. Wynne, Modelling and optimal placement of piezoelectric actuators in isotropic plates using genetic algorithms, Smart Mater. Struct. 8 (1999), pp. 490.SadriA.M.WrightJ.R.WynneR.J.Modelling and optimal placement of piezoelectric actuators in isotropic plates using genetic algorithmsSmart Mater. Struct.8199949010.1088/0964-1726/8/4/306Search in Google Scholar

[22]K. Bendine and R.L. Wankhade, Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithm, Int. J. Adv. Struct. Eng. 9 (2017), pp. 375–384.BendineK.WankhadeR.L.Optimal shape control of piezolaminated beams with different boundary condition and loading using genetic algorithmInt. J. Adv. Struct. Eng9201737538410.1007/s40091-017-0173-xSearch in Google Scholar

[23]S. Khatir, I. Belaidi, R. Serra, M.A. Wahab and T. Khatir, Damage detection and localization in composite beam structures based on vibration analysis, Mechanics 21 (2015), pp. 472–479.KhatirS.BelaidiI.SerraR.WahabM.A.KhatirT.Damage detection and localization in composite beam structures based on vibration analysisMechanics21201547247910.5755/j01.mech.21.6.12526Search in Google Scholar

[24]K. Samir, B. Brahim, R. Capozucca and M.A. Wahab, Damage detection in CFRP composite beams based on vibration analysis using proper orthogonal decomposition method with radial basis functions and cuckoo search algorithm, Compos. Struct. 187 (2018), pp. 344–353.SamirK.BrahimB.CapozuccaR.WahabM.A.Damage detection in CFRP composite beams based on vibration analysis using proper orthogonal decomposition method with radial basis functions and cuckoo search algorithmCompos. Struct187201834435310.1016/j.compstruct.2017.12.058Search in Google Scholar

[25]Y. Yu, X.N. Zhang and S.L. Xie, Optimal shape control of a beam using piezoelectric actuators with low control voltage, Smart Mater. Struct. 18 (2009), pp. 95006.YuY.ZhangX.N.XieS.L.Optimal shape control of a beam using piezoelectric actuators with low control voltageSmart Mater. Struct.1820099500610.1088/0964-1726/18/9/095006Search in Google Scholar