R. Roberson, Portions of a dissertation submitted to the Department of Applied Mechanics, Washington University, in partial fulfillment of the requirements for the degree of Doctor of Philosophy, pp.205-220, 1952.

D. Smith and N. Kroll, Negative Refractive Index in Left-Handed Materials, Physical Review Letters, vol.85, issue.14, pp.2933-2936, 2000.
DOI : 10.1103/PhysRevLett.85.2933

H. Chen and C. Chan, Acoustic cloaking in three dimensions using acoustic metamaterials, Applied Physics Letters, vol.91, issue.18, pp.183518-183519, 2007.
DOI : 10.1063/1.2803315

Y. Ding, Z. Liu, C. Qiu, and J. Shi, Metamaterial with Simultaneously Negative Bulk Modulus and Mass Density, Physical Review Letters, vol.99, issue.9, pp.93904-93905, 2007.
DOI : 10.1103/PhysRevLett.99.093904

P. Sheng, J. Mei, Z. Liu, and W. W. , Dynamic mass density and acoustic metamaterials, Physica B: Condensed Matter, vol.394, issue.2, pp.256-261, 2007.
DOI : 10.1016/j.physb.2006.12.046

Z. Yang, J. Mei, M. Yang, N. Chan, and P. Sheng, Membrane-Type Acoustic Metamaterial with Negative Dynamic Mass, Physical Review Letters, vol.101, issue.20, pp.204301-204302, 2008.
DOI : 10.1103/PhysRevLett.101.204301

S. Lee, C. Park, Y. Seo, Z. Wang, and C. Kim, Acoustic metamaterial with negative density, Physics Letters A, vol.373, issue.48, pp.4464-4469, 2009.
DOI : 10.1016/j.physleta.2009.10.013

X. Zhou and G. Hu, Analytic model of elastic metamaterials with local resonances, Physical Review B, vol.79, issue.19, pp.195109-195110, 2009.
DOI : 10.1103/PhysRevB.79.195109

X. Liu, G. Hu, G. Huang, and C. Sun, An elastic metamaterial with simultaneously negative mass density and bulk modulus, Applied Physics Letters, vol.98, issue.25, p.251907, 2011.
DOI : 10.1063/1.3597651

M. Hussein and M. Frazize, Metadamping: An emergent phenomenon in dissipative metamaterials, Journal of Sound and Vibration, vol.332, issue.20, pp.4767-4774, 2013.
DOI : 10.1016/j.jsv.2013.04.041

D. Vescovo, D. , and G. I. , Dynamic problems for metamaterials: Review of existing models and ideas for further research, International Journal of Engineering Science, vol.80, pp.153-172, 2014.
DOI : 10.1016/j.ijengsci.2014.02.022
URL : https://hal.archives-ouvertes.fr/hal-00947477

X. Wang, Dynamic behaviour of a metamaterial system with negative mass and modulus, International Journal of Solids and Structures, vol.51, issue.7-8, pp.1534-1541, 2014.
DOI : 10.1016/j.ijsolstr.2014.01.004

R. Zhu, X. Liu, G. Hu, C. Sun, and G. Huang, A chiral elastic metamaterial beam for broadband vibration suppression, Journal of Sound and Vibration, vol.333, issue.10, pp.2759-2773, 2014.
DOI : 10.1016/j.jsv.2014.01.009

X. Wang, H. Zhao, X. Luo, and Z. Huang, Membrane-constrained acoustic metamaterials for low frequency sound insulation, Applied Physics Letters, vol.108, issue.4, p.41905, 2016.
DOI : 10.1063/1.4940717

C. Soize, Vibration damping in low-frequency range due to structural complexity. A model based on the theory of fuzzy structures and model parameters estimation, Computers & Structures, vol.58, issue.5, pp.901-915, 1995.
DOI : 10.1016/0045-7949(95)00207-W
URL : https://hal.archives-ouvertes.fr/hal-00770275

O. Gendelman, L. Manevitch, A. Vakakis, and R. Mcloskey, Energy Pumping in Nonlinear Mechanical Oscillators: Part I???Dynamics of the Underlying Hamiltonian Systems, Journal of Applied Mechanics, vol.68, issue.1, pp.34-41, 2001.
DOI : 10.1115/1.1345524

A. Vakakis and O. Gendelman, Energy Pumping in Nonlinear Mechanical Oscillators: Part II???Resonance Capture, Journal of Applied Mechanics, vol.68, issue.1, pp.42-48, 2001.
DOI : 10.1115/1.1345525

A. Vakakis, Shock Isolation Through the Use of Nonlinear Energy Sinks, Journal of Vibration and Control, vol.9, issue.1-2, pp.79-93, 2003.
DOI : 10.1177/107754603030742

A. Carrella, M. Brennan, and . Waters, Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic, Journal of Sound and Vibration, vol.301, issue.3-5, pp.678-689, 2007.
DOI : 10.1016/j.jsv.2006.10.011

N. Alexander and F. Schilder, Exploring the performance of a nonlinear tuned mass damper, Journal of Sound and Vibration, vol.319, issue.1-2, pp.445-462, 2009.
DOI : 10.1016/j.jsv.2008.05.018

Z. Yang, H. Dai, N. Chan, G. Ma, and P. Sheng, Acoustic metamaterial panels for sound attenuation in the 50???1000 Hz regime, Applied Physics Letters, vol.96, issue.4, pp.41906-41907, 2010.
DOI : 10.1063/1.3299007

J. L. Auriault and C. Boutin, Long wavelength inner-resonance cut-off frequencies in elastic composite materials, International Journal of Solids and Structures, vol.49, issue.23-24, pp.3269-3281, 2012.
DOI : 10.1016/j.ijsolstr.2012.07.002

Y. Xiao, W. J. , and W. , Sound transmission loss of metamaterial-based thin plates with multiple subwavelength arrays of attached resonators, Journal of Sound and Vibration, vol.331, issue.25, pp.5408-5423, 2012.
DOI : 10.1016/j.jsv.2012.07.016

S. Varanasi, J. Bolton, T. Siegmund, and R. Cipra, The low frequency performance of metamaterial barriers based on cellular structures, Applied Acoustics, vol.74, issue.4, pp.485-495, 2013.
DOI : 10.1016/j.apacoust.2012.09.008

L. Viet and N. Nghi, On a nonlinear single-mass two-frequency pendulum tuned mass damper to reduce horizontal vibration, Engineering Structures, vol.81, pp.175-180, 2014.
DOI : 10.1016/j.engstruct.2014.09.038

C. Soize, Application to Modal Identification in Structural Dynamics, Course given at PUC-Rio University, Fundamentals of Random Signal Analysis, 1996.

M. Shinozuka, Simulation of Multivariate and Multidimensional Random Processes, The Journal of the Acoustical Society of America, vol.49, issue.1B, pp.357-367, 1971.
DOI : 10.1121/1.1912338

L. Verlet, Computer "Experiments" on Classical Fluids. I. Thermodynamical Properties of Lennard-Jones Molecules, Physical Review, vol.159, issue.1, pp.98-103, 1967.
DOI : 10.1103/PhysRev.159.98

E. Hairer, C. Lubich, and G. Wanner, Geometric numerical integration illustrated by the StrmerVerlet method, Acta Numerica, vol.12, pp.399-450, 2003.
DOI : 10.1017/S0962492902000144

C. Soize and I. Poloskov, Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation, Computers & Mathematics with Applications, vol.64, issue.11, pp.3594-3612, 2012.
DOI : 10.1016/j.camwa.2012.09.010
URL : https://hal.archives-ouvertes.fr/hal-00746280