N. Hagood, V. Flotow, and A. , Damping of structural vibrations with piezoelectric materials and passive electrical networks, Journal of Sound and Vibration, vol.146, issue.2, pp.243-268, 1991.
DOI : 10.1016/0022-460X(91)90762-9

A. Spadoni, M. Ruzzene, and K. A. Cunefare, Vibration and Wave Propagation Control of Plates with Periodic Arrays of Shunted Piezoelectric Patches, Journal of Intelligent Material Systems and Structures, vol.9, issue.12, pp.979-990, 2009.
DOI : 10.1088/0964-1726/5/5/017

F. Casadei, M. Ruzzene, L. Dozio, and K. A. Cunefare, Broadband vibration control through periodic arrays of resonant shunts: experimental investigation on plates, Smart Materials and Structures, vol.19, issue.1, p.15002, 2010.
DOI : 10.1088/0964-1726/19/1/015002

F. Casadei, L. Dozio, M. Ruzzene, and K. A. Cunefare, Periodic shunted arrays for the control of noise radiation in an enclosure, Journal of Sound and Vibration, vol.329, issue.18, pp.3632-3646, 2010.
DOI : 10.1016/j.jsv.2010.04.003

S. Chen, G. Wang, J. Wen, and X. Wen, Wave propagation and attenuation in plates with periodic arrays of shunted piezo-patches, Journal of Sound and Vibration, vol.332, issue.6, pp.1520-1532, 2013.
DOI : 10.1016/j.jsv.2012.11.005

A. J. Fleming, S. Behrens, and S. Moheimani, Reducing the inductance requirements of piezoelectric shunt damping systems, Smart Materials and Structures, vol.12, issue.1, p.57, 2003.
DOI : 10.1088/0964-1726/12/1/307

O. Thomas, J. Ducarne, and J. Deü, Performance of piezoelectric shunts for vibration reduction, Smart Materials and Structures, vol.21, issue.1, p.15008, 2012.
DOI : 10.1088/0964-1726/21/1/015008

URL : https://hal.archives-ouvertes.fr/hal-01082925

J. J. Hollkamp, Multimodal Passive Vibration Suppression with Piezoelectric Materials and Resonant Shunts, Journal of Intelligent Material Systems and Structures, vol.5, issue.1, pp.49-57, 1994.
DOI : 10.1177/1045389X9000100302

S. Wu, Method for Multiple Mode Piezoelectric Shunting with Single PZT Transducer for Vibration Control, Journal of Intelligent Material Systems and Structures, vol.3672, issue.12, pp.991-998, 1998.
DOI : 10.1049/el:19670039

S. Behrens, S. Moheimani, and A. Fleming, Multiple mode current flowing passive piezoelectric shunt controller, Journal of Sound and Vibration, vol.266, issue.5, pp.929-942, 2003.
DOI : 10.1016/S0022-460X(02)01380-9

M. Collet, M. Ouisse, M. Ichchou, and R. Ohayon, Semi-active optimization of 2D wave dispersion into shunted piezo-composite systems for controlling acoustic interaction, Smart Materials and Structures, vol.21, issue.9, p.94002, 2012.
DOI : 10.1088/0964-1726/21/9/094002

URL : https://hal.archives-ouvertes.fr/hal-01515080

F. Casadei, B. S. Beck, K. A. Cunefare, and M. Ruzzene, Vibration control of plates through hybrid configurations of periodic piezoelectric shunts, Journal of Intelligent Material Systems and Structures, vol.11, issue.10, pp.1169-1177, 2012.
DOI : 10.1177/1077546309106529

F. Tateo, M. Collet, M. Ouisse, M. Ichchou, K. A. Cunefare et al., Experimental characterization of a bi-dimensional array of negative capacitance piezo-patches for vibroacoustic control, Journal of Intelligent Material Systems and Structures, vol.11, issue.3, pp.952-964, 2015.
DOI : 10.1103/PhysRevLett.88.104301

URL : https://hal.archives-ouvertes.fr/hal-01021964

R. Batra, F. Isola, S. Vidoli, and D. Vigilante, Multimode vibration suppression with passive two-terminal distributed network incorporating piezoceramic transducers, International Journal of Solids and Structures, vol.42, issue.11-12, pp.3115-3132, 2005.
DOI : 10.1016/j.ijsolstr.2004.11.004

URL : https://hal.archives-ouvertes.fr/hal-00503238

I. Giorgio, A. Culla, and D. Vescovo, Multimode vibration control using several piezoelectric transducers shunted with a multiterminal network, Archive of Applied Mechanics, vol.15, issue.5, pp.859-879, 2008.
DOI : 10.1007/s00419-008-0258-x

URL : https://hal.archives-ouvertes.fr/hal-00798627

F. Dell-'isola, M. Porfiri, and S. Vidoli, Piezo-ElectroMechanical (PEM) structures: passive vibration control using distributed piezoelectric transducers, Comptes Rendus M??canique, vol.331, issue.1, pp.69-76, 2003.
DOI : 10.1016/S1631-0721(03)00022-6

URL : https://hal.archives-ouvertes.fr/hal-00496223

S. Alessandroni, F. Isola, and M. Porfiri, A revival of electric analogs for vibrating mechanical systems aimed to their efficient control by PZT actuators, International Journal of Solids and Structures, vol.39, issue.20, pp.5295-5324, 2002.
DOI : 10.1016/S0020-7683(02)00402-X

URL : https://hal.archives-ouvertes.fr/hal-00503236

M. Porfiri, F. Isola, F. Mascioli, and F. , Circuit analog of a beam and its application to multimodal vibration damping, using piezoelectric transducers, International Journal of Circuit Theory and Applications, vol.32, issue.4, pp.167-198, 2004.
DOI : 10.1002/cta.273

URL : https://hal.archives-ouvertes.fr/hal-00499413

A. Bloch, Electromechanical analogies and their use for the analysis of mechanical and electromechanical systems, Journal of the Institution of Electrical Engineers - Part I: General, vol.92, issue.52, pp.157-169, 1945.
DOI : 10.1049/ji-1.1945.0039

R. Macneal, The solution of partial differential equations by means of electrical networks Ph, pp.4282004-143609, 1949.

S. U. Benscoter and R. Macneal, Introduction to electrical-circuit analogies for beam analysis Tech. rep. NACA URL http, 1952.

S. U. Benscoter and R. Macneal, Equivalentplate theory for a straight multicell wing Tech. rep. NACA URL http, 1952.

R. Macneal, Electrical analogies for stiffened shells with flexible rings Tech. rep. NACA URL http, 1954.

S. Alessandroni, U. Andreaus, F. Isola, and M. Porfiri, Piezo-ElectroMechanical (PEM) Kirchhoff???Love plates, European Journal of Mechanics - A/Solids, vol.23, issue.4, pp.689-702, 2004.
DOI : 10.1016/j.euromechsol.2004.03.003

URL : https://hal.archives-ouvertes.fr/hal-00496930

S. Alessandroni, U. Andreaus, F. Isola, and M. Porfiri, A passive electric controller for multimodal vibrations of thin plates, Computers & Structures, vol.83, issue.15-16, pp.1236-1250, 2005.
DOI : 10.1016/j.compstruc.2004.08.028

URL : https://hal.archives-ouvertes.fr/hal-00498461

B. Lossouarn, K. A. Cunefare, M. Aucejo, and J. Deü, Robustness of a multimodal piezoelectric damping involving the electrical analogue of a plate URL http, 2016.

B. Lossouarn, M. Aucejo, and J. Deü, Multimodal coupling of periodic lattices and application to rod vibration damping with a piezoelectric network, Smart Materials and Structures, vol.24, issue.4, p.45018, 2015.
DOI : 10.1088/0964-1726/24/4/045018

URL : https://hal.archives-ouvertes.fr/hal-01691077

B. Lossouarn, J. F. Deü, and M. Aucejo, Multimodal vibration damping of a beam with a periodic array of piezoelectric patches connected to a passive electrical network, Smart Materials and Structures, vol.24, issue.11, p.115037, 2015.
DOI : 10.1088/0964-1726/24/11/115037

URL : https://hal.archives-ouvertes.fr/hal-01691081

Y. S. Cho, Y. Pak, C. Han, and S. Ha, Five-port equivalent electric circuit of piezoelectric bimorph beam, Sensors and Actuators A: Physical, vol.84, issue.1-2, pp.140-148, 2000.
DOI : 10.1016/S0924-4247(99)00231-9

A. Deraemaeker, H. Nasser, A. Benjeddou, and A. Preumont, Mixing Rules for the Piezoelectric Properties of Macro Fiber Composites, Journal of Intelligent Material Systems and Structures, vol.61, issue.40, pp.1475-1482, 2009.
DOI : 10.1016/0025-5408(78)90185-X

J. Ducarne, O. Thomas, and J. Deü, Placement and dimension optimization of shunted piezoelectric patches for vibration reduction, Journal of Sound and Vibration, vol.331, issue.14, pp.3286-3303, 2012.
DOI : 10.1016/j.jsv.2012.03.002

C. Maurini, J. Pouget, and F. Isola, Extension of the Euler???Bernoulli model of piezoelectric laminates to include 3D effects via a mixed approach, Computers & Structures, vol.84, issue.22-23, pp.1438-1458, 2006.
DOI : 10.1016/j.compstruc.2006.01.016

URL : https://hal.archives-ouvertes.fr/hal-00499426

S. R. Anton, A. Erturk, and D. Inman, Multifunctional self-charging structures using piezoceramics and thin-film batteries, Smart Materials and Structures, vol.19, issue.11, p.115021, 2010.
DOI : 10.1088/0964-1726/19/11/115021

B. Multon, Composants passifs de l'´ electronique de puissance (magnétiques et capacitifs) Lecture URL https, 2015.

O. Thomas, J. 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.265, issue.5, pp.235-268, 2009.
DOI : 10.1007/978-1-4899-6453-3

URL : https://hal.archives-ouvertes.fr/hal-01572491