M. Al-shudeifat, Asymmetric Magnet-Based Nonlinear Energy Sink, Journal of Computational and Nonlinear Dynamics, vol.10, issue.1, p.502, 2014.
DOI : 10.1115/1.4027462

A. , M. A. Wierschem, N. Quinn, D. D. Vakakis, A. F. Bergman et al., Numerical and experimental investigation of a highly effective single-sided vibro-impact non-linear energy sink for shock mitigation, International Journal of Non-Linear Mechanics, vol.52, pp.96-109, 2013.

T. Asami, O. Nishihara, and A. Baz, Analytical Solutions to H[sub ???] and H[sub 2] Optimization of Dynamic Vibration Absorbers Attached to Damped Linear Systems, Journal of Vibration and Acoustics, vol.124, issue.2, pp.284-295, 2002.
DOI : 10.1115/1.1456458

F. Bourquin, G. Caruso, M. Peigney, and D. Siegert, Magnetically tuned mass dampers for optimal vibration damping of large structures, Smart Materials and Structures, vol.23, issue.8, p.13, 2014.
DOI : 10.1088/0964-1726/23/8/085009

URL : https://hal.archives-ouvertes.fr/hal-01020926

A. Carrella, M. Brennan, I. Kovacic, and T. Waters, On the force transmissibility of a vibration isolator with quasi-zero-stiffness, Journal of Sound and Vibration, vol.322, issue.4-5, pp.4-5, 2009.
DOI : 10.1016/j.jsv.2008.11.034

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

A. Carrella, M. Brennan, T. Waters, and K. Shin, On the design of a high-static???low-dynamic stiffness isolator using linear mechanical springs and magnets, Journal of Sound and Vibration, vol.315, issue.3, pp.712-720, 2008.
DOI : 10.1016/j.jsv.2008.01.046

E. J. Doedel, R. Paffenroth, A. R. Champneys, T. F. Fairgrieve, Y. A. Kuznetsov et al., Auto 2000 : Continuation and bifurcation software for ordinary differential equations, 2002.

S. L. Feudo, A. Allani, G. Cumunel, P. Argoul, and D. Bruno, Experimental tuned mass damper based on eddy currents damping effect and adjustable stiffness, CSMA 2015, 12 e colloque national en calcul des structures, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01149714

H. Frahm, Device for damping vibrations of bodies, Tech. rep., US No. Patent, vol.989958, 1909.

O. Gendelman, L. Manevitch, A. Vakakis, and R. M. Closkey, 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

E. Gourc, G. Michon, S. Séguy, and A. Berlioz, Experimental Investigation and Design Optimization of Targeted Energy Transfer Under Periodic Forcing, Journal of Vibration and Acoustics, vol.136, issue.2, p.21021, 2014.
DOI : 10.1115/1.4026432

E. Gourc, G. Michon, S. Séguy, and A. Berlioz, Targeted Energy Transfer Under Harmonic Forcing With a Vibro-Impact Nonlinear Energy Sink: Analytical and Experimental Developments, Journal of Vibration and Acoustics, vol.137, issue.3, p.31008, 2015.
DOI : 10.1115/1.4029285

E. Gourdon, N. Alexander, C. Taylor, C. Lamarque, and S. Pernot, Nonlinear energy pumping under transient forcing with strongly nonlinear coupling: Theoretical and experimental results, Journal of Sound and Vibration, vol.300, issue.3-5, pp.3-5, 2007.
DOI : 10.1016/j.jsv.2006.06.074

URL : https://hal.archives-ouvertes.fr/hal-00815136

C. Grappasonni, G. Habib, T. Detroux, W. Fengwen, G. Kerschen et al., Practical design of a nonlinear tuned vibration absorber, Proceedings of the ISMA 2014 conference, 2014.

C. Grappasonni, G. Habib, T. Detroux, and G. Kerschen, Experimental Demonstration of a 3D-Printed Nonlinear Tuned Vibration Absorber, Proceedings of the International Modal Analysis Conference (IMAC) XXXIII. Orlando, 2015.
DOI : 10.1007/978-3-319-15221-9_15

G. Habib, T. Detroux, R. Viguié, and G. Kerschen, Nonlinear generalization of den Hartog's equal-peak method. Mechanical Systems and Signal Processing, pp.52-53, 2015.

G. Habib and G. Kerschen, Suppression of limit cycle oscillations using the nonlinear tuned vibration absorber, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.332, issue.1781, p.471, 2015.
DOI : 10.1098/rsta.2000.0753

A. G. Haddow and S. W. Shaw, Centrifugal Pendulum Vibration Absorbers: An Experimental and Theoretical Investigation, Nonlinear Dynamics, vol.34, issue.3/4, pp.293-307, 2003.
DOI : 10.1023/B:NODY.0000013509.51299.c0

J. D. Hartog, Mechanical Vibrations, 1934.

H. Kojima and K. Nagaya, Forced Vibrations of a Circular Plate with a Nonlinear Dynamic Vibration Absorber, Bulletin of JSME, vol.28, issue.236, pp.309-314, 1985.
DOI : 10.1299/jsme1958.28.309

H. Kojima and H. Saito, Forced vibrations of a beam with a non-linear dynamic vibration absorber, Journal of Sound and Vibration, vol.88, issue.4, pp.559-568, 1983.
DOI : 10.1016/0022-460X(83)90657-0

I. Kovacic, M. J. Brennan, and T. P. Waters, A study of a nonlinear vibration isolator with a quasi-zero stiffness characteristic, Journal of Sound and Vibration, vol.315, issue.3, pp.700-711, 2008.
DOI : 10.1016/j.jsv.2007.12.019

S. Krenk and J. Hogsberg, Tuned mass absorber on a flexible structure, Journal of Sound and Vibration, vol.333, issue.6, pp.1577-1595, 2014.
DOI : 10.1016/j.jsv.2013.11.029

C. H. Lamarque, O. V. Gendelman, T. Savadkoohi, A. Etcheverria, and E. , Targeted energy transfer in mechanical systems by means of non-smooth nonlinear energy sink, Acta Mechanica, vol.237, issue.74, pp.175-200, 2011.
DOI : 10.1007/s00707-011-0492-0

URL : https://hal.archives-ouvertes.fr/hal-00803449

Y. S. Lee, G. Kerschen, D. M. Mcfarland, W. J. Hill, C. Nichkawde et al., Suppressing Aeroelastic Instability Using Broadband Passive Targeted Energy Transfers, Part 2: Experiments, AIAA Journal, vol.45, issue.10, pp.2391-2400, 2007.
DOI : 10.2514/1.28300

URL : http://dspace.lib.ntua.gr/handle/123456789/18412

Y. S. Lee, A. F. Vakakis, L. A. Bergman, D. M. Mcfarland, and G. Kerschen, Suppression Aeroelastic Instability Using Broadband Passive Targeted Energy Transfers, Part 1: Theory, AIAA Journal, vol.45, issue.3, pp.693-711, 2007.
DOI : 10.2514/1.24062

URL : https://deepblue.lib.umich.edu/bitstream/2027.42/76103/1/AIAA-24062-636.pdf

X. Liu, X. Huang, and H. Hua, On the characteristics of a quasi-zero stiffness isolator using Euler buckled beam as negative stiffness corrector, Journal of Sound and Vibration, vol.332, issue.14, pp.3359-3376, 2013.
DOI : 10.1016/j.jsv.2012.10.037

L. I. Manevitch, G. Sigalov, F. Romeo, L. A. Bergman, and A. F. Vakakis, Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Analytical Study, Journal of Applied Mechanics, vol.81, issue.4, p.41011, 2013.
DOI : 10.1115/1.4025150

B. Mann and B. Owens, Investigations of a nonlinear energy harvester with a bistable potential well, Journal of Sound and Vibration, vol.329, issue.9, pp.1215-1226, 2010.
DOI : 10.1016/j.jsv.2009.11.034

D. M. Mcfarland, L. A. Bergman, and A. F. Vakakis, Experimental study of non-linear energy pumping occurring at a single fast frequency, International Journal of Non-Linear Mechanics, vol.40, issue.6, pp.891-899, 2005.
DOI : 10.1016/j.ijnonlinmec.2004.11.001

A. Mehmood, A. H. Nayfeh, and M. R. Hajj, Effects of a non-linear energy sink (NES) on vortex-induced vibrations of a circular cylinder, Nonlinear Dynamics, vol.143, issue.1, pp.667-680, 2014.
DOI : 10.1007/s11071-014-1329-x

J. Ormondroyd and J. Den-hartog, The theory of the dynamic vibration absorber, Transactions of ASME, vol.50, pp.9-22, 1928.

F. Pellicano, M. Amabili, and M. P. Pa¨?doussispa¨?doussis, Effect of the geometry on the non-linear vibration of circular cylindrical shells, International Journal of Non-Linear Mechanics, vol.37, issue.7, pp.1181-1198, 2002.
DOI : 10.1016/S0020-7462(01)00139-1

A. Petruska and J. Abbott, Optimal Permanent-Magnet Geometries for Dipole Field Approximation, IEEE Transactions on Magnetics, vol.49, issue.2, pp.811-819, 2013.
DOI : 10.1109/TMAG.2012.2205014

W. S. Robertson, M. Kidner, B. S. Cazzolato, and A. C. Zander, Theoretical design parameters for a quasi-zero stiffness magnetic spring for vibration isolation, Journal of Sound and Vibration, vol.326, issue.1-2, pp.88-103, 2009.
DOI : 10.1016/j.jsv.2009.04.015

F. Romeo, G. Sigalov, L. A. Bergman, and A. F. Vakakis, Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Numerical Study, Journal of Computational and Nonlinear Dynamics, vol.10, issue.1, p.11007, 2014.
DOI : 10.1115/1.4027224

H. A. Sodano, J. Bae, D. J. Inman, and W. K. Belvin, Concept and model of eddy current damper for vibration suppression of a beam, Journal of Sound and Vibration, vol.288, issue.4-5, pp.1177-1196, 2005.
DOI : 10.1016/j.jsv.2005.01.016

C. Touzé and O. Thomas, Non-linear behaviour of free-edge shallow spherical shells: Effect of the geometry, International Journal of Non-Linear Mechanics, vol.41, issue.5, pp.678-692, 2006.
DOI : 10.1016/j.ijnonlinmec.2005.12.004

H. Tsai and G. Lin, Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems, Earthquake Engineering & Structural Dynamics, vol.77, issue.7, pp.846-862, 1993.
DOI : 10.1002/eqe.4290221104

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, O. Gendelman, L. Bergman, D. Mcfarland, G. Kerschen et al., Nonlinear targeted energy transfer in mechanical and structural systems I, 2008.

A. Vakakis, O. Gendelman, L. Bergman, D. Mcfarland, G. Kerschen et al., Nonlinear targeted energy transfer in mechanical and structural systems II, 2008.

A. Vakakis, L. Manevitch, O. Gendelman, and L. Bergman, Dynamics of linear discrete systems connected to local, essentially non-linear attachments, Journal of Sound and Vibration, vol.264, issue.3, pp.559-577, 2003.
DOI : 10.1016/S0022-460X(02)01207-5

R. Viguié and G. Kerschen, Nonlinear vibration absorber coupled to a nonlinear primary system: A tuning methodology, Journal of Sound and Vibration, vol.326, issue.3-5, pp.780-793, 2009.
DOI : 10.1016/j.jsv.2009.05.023

D. Xu, Q. Yu, J. Zhou, and S. Bishop, Theoretical and experimental analyses of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic, Journal of Sound and Vibration, vol.332, issue.14, pp.3377-3389, 2013.
DOI : 10.1016/j.jsv.2013.01.034

I. Yamakawa, S. Takeda, and H. Kojima, Behavior of a New Type Dynamic Vibration Absorber Consisting of Three Permanent Magnets, Bulletin of JSME, vol.20, issue.146, pp.947-954, 1977.
DOI : 10.1299/jsme1958.20.947

M. Zilletti, S. J. Elliott, and E. Rustighi, Optimisation of dynamic vibration absorbers to minimise kinetic energy and maximise internal power dissipation, Journal of Sound and Vibration, vol.331, issue.18, pp.4093-4100, 2012.
DOI : 10.1016/j.jsv.2012.04.023