N. W. Hagood and A. Flotow, 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

V. , S. Jr, and D. J. Inman, Optimal design of a piezoelectric material for vibration damping in mechanical systems, Journal of Intelligent Material Systems and Structures, vol.10, pp.945-955, 1999.

P. Bisegna, G. Caruso, D. D. Vescovo, and S. Landini, Simulation of vibrations passive damping of a piezoactuated cantilever plate, Annual Conference of Italian Society for Computer Simulations?ISCS, 1999.

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 : 10.1177/1045389X9400500106

F. Dell-'isola and S. Vidoli, Continuum modelling of piezoelectromechanical truss beams: an application to vibration damping, Archive of Applied Mechanics (Ingenieur Archiv), vol.68, issue.1, pp.1-19, 1998.
DOI : 10.1007/s004190050142
URL : https://hal.archives-ouvertes.fr/hal-00495542

S. Vidoli and F. , dell'Isola, Modal coupling in one-dimensional electromechanical structured continua, Acta Mechanica, vol.141, pp.1-2, 2000.

S. Vidoli and F. , Vibration control in plates by uniformly distributed PZT actuators interconnected via electric networks, European Journal of Mechanics - A/Solids, vol.20, issue.3, pp.435-456, 2001.
DOI : 10.1016/S0997-7538(01)01144-5
URL : https://hal.archives-ouvertes.fr/hal-00496588

S. Alessandroni, F. Dell-'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

O. Thorp, M. Ruzzene, and A. Baz, Attenuation and localization of wave propagation in rods with periodic shunted piezoelectric patches, Smart Materials and Structures, vol.10, issue.5, pp.979-989, 2001.
DOI : 10.1088/0964-1726/10/5/314

S. Yarlagadda, G. A. Lesieutre, S. Yoshikawa, and J. Witham, Resistively shunted piezocomposites for passive vibration damping, Adaptive Structures Forum, pp.217-227, 1996.
DOI : 10.2514/6.1996-1291

E. Canon and M. Lenczner, Modelling of thin elastic plates with small piezoelectric inclusions and distributed electronic circuits. Models for inclusions that are small with respect to the thickness of the plate, Journal of Elasticity, vol.55, issue.2, pp.111-141, 1999.
DOI : 10.1023/A:1007609122248
URL : https://hal.archives-ouvertes.fr/hal-00957646

I. Heun-ho-rew and . Lee, Adaptive shunting for vibration control of frequency-varying structures, Journal of Guidance, Control and Dynamics, vol.24, issue.6, 2001.

J. J. Hollkamp and T. F. Starchville, A Self-Tuning Piezoelectric Vibration Absorber, Journal of Intelligent Material Systems and Structures, vol.7, issue.6, pp.559-566, 1994.
DOI : 10.1177/1045389X9400500412

L. Brillouin, Wave Propagation in Periodic Structures Electric Filters and Crystal Lattices, 1946.

U. Andreaus, F. Dell-'isola, and M. Porfiri, Piezoelectric Passive Distributed Controllers for Beam Flexural Vibrations, Journal of Vibration and Control, vol.10, issue.5
DOI : 10.1177/1077546304038224
URL : https://hal.archives-ouvertes.fr/hal-00498237

C. Wo and !. Zniac, Refined macro-dynamics of periodic structures, Archive of Mechanics, vol.45, pp.295-304, 1993.

P. Germain, The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure, SIAM Journal on Applied Mathematics, vol.25, issue.3, pp.556-575, 1973.
DOI : 10.1137/0125053

G. A. Maugin, Die Methode der virtuallen Leistung in der Kontinuumsmechanik: Anwendung auf gekoppelte Felder, Acta Mechanica, vol.15, issue.No. 2, pp.1-70, 1980.
DOI : 10.1007/BF01190057

F. Dell-'isola, L. Rosa, C. Wo, and !. Zniac, A micro-structured continuum modelling of compacting fluid-saturated grounds: the effects of pore-size scale parameter, Acta Mechanica, pp.127-165, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00497282

C. Maurini, Electromechanical coupling of distributed piezoelectric transducers for passive damping of structural vibrations: comparison of network configurations, 2002.
URL : https://hal.archives-ouvertes.fr/tel-00994396

A. C. Eringen and G. A. Maugin, Electrodynamics of Continua, Vols. I?II, 1990.

T. Ikeda, Fundamentals of Piezoelectricity, 1990.

D. A. Saravanos and P. R. Heyliger, Mechanics and Computational Models for Laminated Piezoelectric Beams, Plates, and Shells, Applied Mechanics Reviews, vol.52, issue.10, pp.305-320, 1999.
DOI : 10.1115/1.3098918

L. Perko, Differential Equations and Dynamical Systems, Texts in Applied Mathematics, 1996.