2019 • In Benjeddou, Ayech; Mechbal, Nazih; Deü, Jean-François (Eds.) Proceedings of the 9th ECCOMAS Thematic Conference on Smart Structures and Materials - SMART 2019
Piezoelectric Absorber; Digital Vibration Absorber; Delayed System; Stability
Abstract :
[en] Digital piezoelectric vibration absorbers synthesizing passive shunt circuits may be subject to instabilities. This work investigates the cause for these instabilities, and highlights the role of sampling delays in their onset. If for practical reasons the sampling frequency cannot be increased, a stabilization procedure which anticipates the sampling delays is proposed. The theoretical developments in this work are experimentally validated on a piezoelectric beam.
Raze, Ghislain ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Paknejad, Ahmad; Université Libre de Bruxelles - ULB > Department of Bio-, Electro- and Mechanical Systems > Precision Mechatronics Laboratory
Zhao, Guoying; Université Libre de Bruxelles - ULB > Department of Bio-, Electro- and Mechanical Systems > Precision Mechatronics Laboratory
Broun, Valery; Haute École de la province de Liège > Département ingénieur industriel > Service d'Électronique
Collette, Christophe ; Université Libre de Bruxelles - ULB > Department of Bio-, Electro- and Mechanical Systems > Precision Mechatronics Laboratory
Kerschen, Gaëtan ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Laboratoire de structures et systèmes spatiaux
Language :
English
Title :
Suppression of Delay-induced Instabilities of Digital Piezoelectric Vibration Absorbers
Publication date :
July 2019
Event name :
9th ECCOMAS Thematic Conference on Smart Structures and Materials
Event organizer :
Arts et Métiers - Ensam
Event place :
Paris, France
Event date :
from 08-07-2019 to 12-07-2019
Audience :
International
Main work title :
Proceedings of the 9th ECCOMAS Thematic Conference on Smart Structures and Materials - SMART 2019
Editor :
Benjeddou, Ayech
Mechbal, Nazih
Deü, Jean-François
Publisher :
International Centre for Numerical Methods in Engineering (CIMNE), Barcelona, Spain
Pages :
991-1001
Commentary :
Compared to the proceedings, this paper contains a few corrections:
- gamma has been changed to beta right after Equation (17)
- Equations (21) and (22) have been corrected
R. L. Forward, “Electronic damping of vibrations in optical structures,” Applied Optics, vol. 18, no. 5, p. 690, 1979.
N. W. Hagood and A. von Flotow, “Damping of Structural Vibrations with Piezoelectric Materials and Passive Electrical Networks,” Journal of Sound and Vibration, vol. 146, no. 2, pp. 243–268, 1991.
B. Lossouarn, M. Aucejo, J. F. Deü, and B. Multon, “Design of inductors with high inductance values for resonant piezoelectric damping,” Sensors and Actuators, A: Physical, vol. 259, pp. 68–76, 2017.
A. J. Fleming, S. Behrens, and S. O. R. Moheimani, “Synthetic impedance for implementation of piezoelectric shunt-damping circuits,” Electronic Letters, vol. 36, no. 18, pp. 1525–1526, 2000.
G. Matten, M. Collet, S. Cogan, and E. Sadoulet-Reboul, “Synthetic Impedance for Adaptive Piezoelectric Metacomposite,” Procedia Technology, vol. 15, pp. 84–89, 2014.
P. Horowitz and W. Hill, The Art of Electronics. Cambridge University Press, 3 ed., 2015.
N. W. Hagood, W. H. Chung, and A. V. Flotow, “Modelling of Piezoelectric Actuator Dynamics for Active Structural Control,” Journal of Intelligent Material Systems and Structures, vol. 1, no. 3, pp. 327–354, 1990.
O. Thomas, J.-F. Deü, and J. Ducarne, “Vibrations of an elastic structure with shunted piezoelectric patches: efficient finite element formulation and electromechanical coupling coefficients,” International Journal for Numerical Methods in Engineering, vol. 80, pp. 235–268, 2009.
G. F. Franklin, J. D. Powell, and M. L. Workman, Digital Control of Dynamic Systems. Addison-Wesley, 1998.
J. M. P. Cardoso, J. G. F. Coutinho, and P. C. Diniz, Embedded Computing for High Performance: Efficient Mapping of Computations Using Customization, Code Transformations and Compilation. Morgan Kaufmann, 2017.
B. Lossouarn, J.-F. Deü, and G. Kerschen, “A fully passive nonlinear piezoelectric vibration absorber,” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 376, p. 20170142, 2018.
P. Soltani, G. Kerschen, G. Tondreau, and A. Deraemaeker, “Piezoelectric vibration damping using resonant shunt circuits: An exact solution,” Smart Materials and Structures, vol. 23, no. 12, 2014.