# Articles and Books

- Vakakis, A. F., Gendelman, O. V., Bergman, L. A., McFarland, D. M., Kerschen, G., & Lee, Y. S. (2008).
*Nonlinear targeted energy transfer in mechanical and structural systems*(Vol. 156). Springer Science & Business Media. - Gendelman, Oleg V., et al. “Enhanced passive targeted energy transfer in strongly nonlinear mechanical oscillators.”
*Journal of Sound and Vibration*(2011): 1-8. - Lee, Young Sup, et al. “Complicated dynamics of a linear oscillator with a light, essentially nonlinear attachment.”
*Physica D: Nonlinear Phenomena*204.1 (2005): 41-69. - Wierschem, Nicholas E., et al. “Passive damping enhancement of a two-degree-of-freedom system through a strongly nonlinear two-degree-of-freedom attachment.”
*Journal of sound and vibration*25 (2012): 5393-5407. - Kerschen, Gaëtan, et al. “Nonlinear normal modes, Part I: A useful framework for the structural dynamicist.”
*Mechanical Systems and Signal Processing*1 (2009): 170-194. - Peeters, Maxime, et al. “Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques.”
*Mechanical systems and signal processing*1 (2009): 195-216. - Shock Mitigation by Means of Low- to High-Frequency Nonlinear Targeted Energy Transfers in a Large-Scale Structure. Mohammad A. AL-Shudeifat, Alexander F. Vakakisand Lawrence A. Bergman Comput. Nonlinear Dynam 11(2), 021006 (Aug 26, 2015) (11 pages)Paper No: CND-15-1015; doi: 10.1115/1.4030540 History: Received January 19, 2015
- AL-Shudeifat, M.A., Vakakis, A.F. & Bergman, L.A., 2015. Shock Mitigation by Means of Low- to High-Frequency Nonlinear Targeted Energy Transfers in a Large-Scale Structure. Journal of Computational and Nonlinear Dynamics, 11(2), pp.1–11.
- Gendelman, O. et al., 2001. Energy Pumping in Nonlinear Mechanical Oscillators: Part I—Dynamics of the Underlying Hamiltonian Systems. Journal of Applied Mechanics, 68, pp.34–41.
- Gendelman, O. V. et al., 2012. Dynamics of an Eccentric Rotational Nonlinear Energy Sink. Journal of Applied Mechanics, 79(January 2012), p.11012.
- Gendelman, O. V., 2008. Targeted energy transfer in systems with non-polynomial nonlinearity. Journal of Sound and Vibration, 315, pp.732–745.
- Hubbard, S.A. et al., 2014. Targeted Energy Transfer Between a Swept Wing and Winglet-Housed Nonlinear Energy Sink. AIAA Journal, 52(12), pp.2633–2651.
- Hubbard, S.A. et al., 2010. Targeted energy transfer to a rotary nonlinear energy sink. Collection of Technical Papers – AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, pp.1–13.
- Kerschen, G., Vakakis, A.F., et al., 2005. Energy transfers in a system of two coupled oscillators with essential nonlinearity: 1:1 Resonance manifold and transient bridging orbits. Nonlinear Dynamics, 42, pp.283–303.
- Kerschen, G., Lee, Y.S., et al., 2005. Irreversible Passive Energy Transfer in Coupled Oscillators with Essential Nonlinearity. SIAM Journal on Applied Mathematics, 66(2), pp.648–679.
- McFarland, D.M., Kerschen, G., et al., 2005. Experimental investigation of targeted energy transfers in strongly and nonlinearly coupled oscillators. The Journal of the Acoustical Society of America, 118(2), pp.791–799.
- McFarland, D.M., Bergman, L.A. & Vakakis, A.F., 2005. Experimental study of non-linear energy pumping occurring at a single fast frequency. International Journal of Non-Linear Mechanics, 40(6), pp.891–899.
- Mehmood, A., Nayfeh, A.H. & Hajj, M.R., 2014. Effects of a non-linear energy sink (NES) on vortex-induced vibrations of a circular cylinder. Nonlinear Dynamics, 77(3), pp.667–680.
- Quinn, D.D. et al., 2009. Efficiency of targeted energy transfers in coupled nonlinear oscillators associated with 1:1 resonance captures: Part I. Journal of Sound and Vibration, 311, pp.1228–1248.
- Quinn, D.D. et al., 2012. Equivalent modal damping, stiffening and energy exchanges in multi-degree-of-freedom systems with strongly nonlinear attachments. Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 226(2), pp.122–146.
- Sapsis, T.P. et al., 2012. Effective Stiffening and Damping Enhancement of Structures With Strongly Nonlinear Local Attachments. Journal of Vibration and Acoustics, 134(1), p.11016.
- Sapsis, T.P. et al., 2009. Efficiency of targeted energy transfers in coupled nonlinear oscillators associated with 1:1 resonance captures: Part II, analytical study. Journal of Sound and Vibration, 325(1–2), pp.297–320.
- Vakakis, A.F., 1993. Analytic study of linear and nonlinear mode localisation. Journal of Applied Mechanics, 60, pp.555–557.
- Vakakis, A.F. et al., 2003. Dynamics of linear discrete systems connected to local, essentially non-linear attachments. Journal of Sound and Vibration, 264, pp.559–577.
- Vakakis, A.F., 2001. Inducing Passive Nonlinear Energy Sinks in Vibrating Systems. Journal of Vibration and Acoustics, 123(July 2001), p.324.
- Vakakis, A.F. et al., 1996. Normal Modes and Localisation in Nonlinear Systems, Newyork: Wiley.
- Vakakis, A.F., 2003. Shock isolation through the use of nonlinear energy sinks. Journal of Vibration and Control, 9(1–2), pp.79–93.
- Vakakis, A.F. & Gendelman, O., 2001. Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture. Journal of Applied Mechanics, 68, pp.42–48.
- Viguié, R. et al., 2009. Using passive nonlinear targeted energy transfer to stabilize drill-string systems. Mechanical Systems and Signal Processing, 23, pp.148–169.
- Viguié, R. & Kerschen, G., 2009. Design Procedure of a Nonlinear Vibration Absorber Using Bifurcation Analysis. In Proceedings of the ASME 2009 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference. San Diego, California, USA, pp. 1–9.
- Rodriguez, E., Paredes, M. & Sartor, M., 2006. Analytical Behavior Law for a Constant Pitch Conical Compression Spring. Journal of Mechanical Design, 128, pp.1352–1356.
- Qiu, D., Seguy, S. and Paredes, M. (2017). Tuned Nonlinear Energy Sink With Conical Spring: Design Theory and Sensitivity Analysis. Journal of Mechanical Design, 140(1), p.011404.
- Musienko, A.I., Lamarque, C.H. & Manevitch, L.I., 2006. Design of Mechanical Energy Pumping Devices. Journal of Vibration and Control, 12, pp.355–371.