Cited by 254Vibration Control and Rheological FluidsSeismic Performance and AnalysisVibration and Dynamic Analysis

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Targeted energy transfers in vibro-impact oscillators for seismic mitigation

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Nucera, F., Vakakis, A. F., McFarland, D. M., Bergman, L. A., Kerschen, G.·2007·Nonlinear Dynamics

DOI 10.1007/s11071-006-9189-7

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Background
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“[12] designed a set of vibro-impact nonlinear energy sinks (NESs), which are locally attached to the main”
Background
Spectral energy scattering and targeted energy transfer in phononic lattices with local vibroimpact nonlinearities
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“15b, e, and h, which confirms the phenomena of TET with a slight frequency difference between the two oscillators [84–86].”
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“…in many studies dedicated to seismic mitigation [40–43, 47– 50 ], demonstrating In previous VI NES studies in the ﬁeld of seismic mitigation [40–43, 47– 50 ], VI Recently, the non-smooth VI nonlinearity has been utilized to induce a new way for rapid non-resonant energy transfer mechanism…”
Self-citation
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“Di(cid:27)erent types of nonlinearities are considered for the NES: vibro-impact NES [19],[20],[21],[22], piecewise linear NES [23].”
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“a device with cubic nonlinearity [13,14], a nonlinear rotator [15,16], a vibro-impact oscillator [17,18], a tuned bistable NES [19] and a lever-type NES [20].”
Background
Combined tuned mass damper and vibro-impacting nonlinear energy sink for the seismic protection of frame structures
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Non-resonant damped transitions resembling continuous resonance scattering in coupled oscillators with essential nonlinearities
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“Equation (26) demonstrates that the other tangent equation of SIM over the origin is solely dependent on the damping ratio of the nonlinear tuned inerter absorber, and its slope increases with the damping ratio.”
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Multi-scale energy exchanges between a nonlinear oscillator of Bouc-Wen type and another coupled nonlinear system
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Research on Dynamic Characteristics of Joint of RC Frame Structure with NES
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“Various applications of NES to vibration mitigation are considered including suppression of aeroelastic instability (Lee et al., 2007, 2008) or protection against seismic activity (Gourdon et al., 2007a; Nucera et al., 2007).”
Theoretical and Experimental Study of an Harmonically Forced Vibro-Impact Nonlinear Energy Sink
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“A bilateral collision NES [13] and a rail-type NES [14] are proposed in control vibration of high-rise buildings.”
Local nonlinear stores induce global modal interactions in the steady-state dynamics of a model airplane
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Self-citation
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Vibratory Energy Localization by Non-smooth Energy Sink with Time-Varying Mass
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Performance evaluation and design criterion of a bistable nonlinear energy sinkPreprint
Ding, H., Wang, G., & Chen, L. (2021) · Research Square · doi:10.21203/rs.3.rs-323590/v1 · Cited by 5
“To realize the vibration control in different working conditions, researchers have designed various types of non-smooth and non-polynomial models of the NES, such as magnetic models [7, 8], vibro-impact models [9, 10], piecewise models [11, 12], rotational models [13, 14], and track models [15, 16].”
Influence of contact constitutive equations on the vibro-impact response of structures
Soleimani, H., Jaworski, J. S., Mediante, E. C., & Aage, N. (2025) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2025.113501 · Cited by 4
A triple-magnet magnetic-suspension parallel nonlinear vibration absorber for low-frequency broadband vibration control
Yang, Y., Xu, J., Leng, Y., Zhu, B., Wen, X., Qian, N., Chen, X., Su, X., He, R., & Lai, Z. (2026) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2026.114402 · Cited by 4
Interband targeted energy transfer, wave arrest, and redirection in phononic lattices with strongly nonlinear local resonators
Bukhari, M., & Vakakis, A. F. (2025) · Physical review. E · doi:10.1103/physreve.111.044213 · Cited by 4
Self-citation
Stochastic optimization of a mass-in-mass cell with piecewise hybrid nonlinear–linear restoring force
Zanin, C. D. S., Missoum, S., Savadkoohi, A. T., Baguet, S., Gourdon, E., & Dufour, R. (2024) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2024.118755 · Cited by 4
Effects of Nonlinear Stores on the Dynamics of a Computational Model Airplane
Dalisay, J. D. E., Moore, K. J., Bergman, L. A., & Vakakis, A. F. (2020) · Journal of Aircraft · doi:10.2514/1.c035736 · Cited by 4
Self-citation
Effects of Hysteresis and Negative Stiffness on Seismic Response Reduction: A Case Study Based on the 1999 Athens, Greece Earthquake
Charalampakis, A. E., & Tsiatas, G. C. (2018) · Frontiers in Built Environment · doi:10.3389/fbuil.2018.00023 · Cited by 4
“In Type IV, a rotating NES has been introduced coupled to a primary linear oscillator (Gendelman et al., 2012; Sigalov et al., 2012), whereas Type V and VI designs are devoted to strongly nonlinear vibro-impact coupling (Georgiadis et al., 2005; Nucera et al., 2007; Lee et al., 2009).”
Background
Periodic Graze Phenomena Caused by Energy Transfer between Two Globally Coupled Vibro-Impact Oscillators
TAKATA, S., KOTAKE, S., & SUZUKI, Y. (2011) · TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C · doi:10.1299/kikaic.77.1911 · Cited by 4
Asymmetric vibro-impact nonlinear energy sink with dry friction: an impact map approach
Youssef, B., Karoui, A. Y., & Leine, R. I. (2025) · Nonlinear Dynamics · doi:10.1007/s11071-025-11692-1 · Cited by 3
Mix vibration control of an elastic beam system with two nonlinear factors
Li, Z., & Zhao, Y. (2025) · Thin-Walled Structures · doi:10.1016/j.tws.2025.114008 · Cited by 3
The effect of friction on the dynamics of targeted energy transfer by symmetric vibro-impact dampers
Youssef, B., Karoui, A., & Leine, R. (2025) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2025.119565 · Cited by 4
Enhanced vibration suppression of structures using an optimized serial single-sided vibro-impact bistable NES
Jiang, L. I., & Yu, G. (2026) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2026.109763 · Cited by 3
Unlocking Targeted Energy Transfer in Phononic Lattices: Exploring Local Vibro-Impact Nonlinearity in Multiple Local Resonator Metamaterials
Al-Sheyyab, M. A., & Bukhari, M. (2024) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2024.12.039 · Cited by 3
Nonlinear System Identification of Vibro-Impact Nonsmooth Dynamical Systems
Lee, Y., Vakakis, A. F., Chen, H., McFarland, D. M., & Bergman, L. A. (2011) · AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference (SDM) · doi:10.2514/6.2011-2067 · Cited by 3
Self-citation
Numerical Tuning of Nonlinear Energy Sinks in Shear Buildings
Motato, E., & Guerrero, F. G. (2023) · Journal of Vibration Engineering & Technologies · doi:10.1007/s42417-023-01021-4 · Cited by 3
Impact and Bandgap Characteristics of Periodic Rods With Viscoelastic Inserts and Local Resonators
Alsaffar, Y., Aldraihem, O. J., & Baz, A. M. S. (2020) · Journal of vibration and acoustics · doi:10.1115/1.4049108 · Cited by 3
Theoretical and experimental study of tuned nonlinear energy sink : application to passive vibration control
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On the nonlinear energy interactions in vibro-impacting cantilever
Vyas, V. (2024) · Journal of Vibration and Control · doi:10.1177/10775463241251393 · Cited by 2
“The signi ﬁ cance of the analysis and results lies in the wide range of applications of VICs, including piezoelectric energy harvesting (Mak et al., 2011, 2012), targeted energy transfer for passive damping (Lee et al., 2008, 2009; Nusera et al, 2007, 2010; Qiu et al., 2019), and more.”
Research on Vibration Reduction Performance of Series Bistable Nonlinear Energy Sink
Jia, X., Xu, C. W., & Xue, G. (2024) · Shock and Vibration · doi:10.1155/vib/1985312 · Cited by 2
An event-driven time-domain sensitivity method for optimizing parameters of vibro-impact NES cells to suppress multi-mode vibration
Jiang, X., Lu, Z.-R., Lin, X., Yuan, J., Wang, L., & Yang, D. H. (2026) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2026.119664 · Cited by 2
The Nonlinear Tuned Vibration Absorber
Viguié, R., & Kerschen, G. (2013) · Conference proceedings of the Society for Experimental Mechanics · doi:10.1007/978-1-4614-6570-6_21 · Cited by 2
Self-citation

Authors: Nucera, F., Vakakis, A. F., McFarland, D. M., Bergman, L. A., & Kerschen, G.
Affiliations: University of Reggio Calabria (IT)
University of Illinois Urbana-Champaign (US)
University of Liège (BE)
Corresponding author: Vakakis, A. F.
ORCID: Vakakis, A. F.
McFarland, D. M.
Bergman, L. A.
Kerschen, G.
Venue: Nonlinear Dynamics
Publisher: Springer Science and Business Media LLC
Published: 2007-01-24
Volume: 50
Issue: 3
Pages: 651-677
ISSN: 0924-090X (ISSN-L)
1573-269X
DOI: 10.1007/s11071-006-9189-7
OpenAlex: W2037031881
Cited by: 254
References: 34
Citations by year: 2026: 18 · 2025: 12 · 2024: 30 · 2023: 9 · 2022: 20 · 2021: 20 · 2020: 16 · 2019: 13 · 2018: 18 · 2017: 11 · 2016: 18 · 2015: 16 · 2014: 16 · 2013: 7 · 2012: 8
FWCI: 22.23
Type: journal article
Language: en
Open access: green
doi.org
Licence: other-oa
www.springer.com/tdm (tdm)
Locations: Nonlinear Dynamics (publishedVersion)
DSpace - NTUA (National Technical University of Athens) (submittedVersion, other-oa)
ORBi (University of Liège) (submittedVersion)
Funders: National Science Foundation
Topics: Physical Sciences › Engineering › Civil and Structural Engineering › Vibration Control and Rheological Fluids
Physical Sciences › Engineering › Civil and Structural Engineering › Seismic Performance and Analysis
Physical Sciences › Engineering › Mechanical Engineering › Vibration and Dynamic Analysis
Keywords: nonlinear energy sink, seismic hazard mitigation, passive vibration control, energy pumping, two-degree-of-freedom system, periodic orbits, wavelet power spectrum, seismic energy dissipation

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