The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.
Targeted energy transfers in vibro-impact oscillators for seismic mitigation
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In the citing paper
“It was observed in these studies that the optimum TET is achieved at the excitation of high energy impulsive orbits.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [104]
In the citing paper
“The DSVI NES has shown significant energy dissipation and fast effective TET for the different types and magnitudes of excitations.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [104]
In the citing paper
“several works, namely [60,61,104,231], are devoted to the implementation of DSVI NES for seismic mitigation in which several time-scaled earthquakes were considered to excite the primary structure numerically and experimentally.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [104]
In the citing paper
“in one of the earliest works, a 2-DOF primary structure coupled with DSVI NES was numerically investigated for seismic mitigation as shown in [104].”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [104]
In the citing paper
“In these studies, the DSVI NES showed fast reaction and resonance capture time where it demonstrated the capability of redistributing seismic energy to higher structural modes.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [104]
Citations
Cites
Storn, R., & Price, K. (1997) · Journal of Global Optimization · doi:10.1023/a:1008202821328 · Cited by 29,569
Differential equations with discontinuous right hand sides
(1989) · Mathematics and Computers in Simulation · doi:10.1016/0378-4754(89)90171-7 · Cited by 4,924
Differential Equations with Discontinuous Righthand Sides
Filippov, A. F. (1988) · Mathematics and Its Applications · doi:10.1007/978-94-015-7793-9 · Cited by 4,720
Price, K. V. (2004) · Cited by 3,344
Storn, R. (1995) · Medical Entomology and Zoology · Cited by 2,783
Dynamics and Bifurcations of Non-Smooth Mechanical Systems
Leine, R. I., & Nijmeijer, H. (2004) · Lecture notes in applied and computational mechanics · doi:10.1007/978-3-540-44398-8 · Cited by 828
Energy Pumping in Nonlinear Mechanical Oscillators: Part II—Resonance Capture
Vakakis, A. F., & Gendelman, O. (2001) · Journal of Applied Mechanics · doi:10.1115/1.1345525 · Cited by 697
Self-citationGendelman, O., Manevitch, L. I., Vakakis, A. F., & M’Closkey, R. (2001) · Journal of Applied Mechanics · doi:10.1115/1.1345524 · Cited by 665
Self-citationNormal Modes and Localization in Nonlinear Systems
Vakakis, A. F., Manevitch, L. I., Mlkhlin, Y. V., Pilipchuk, V. N., & Zevin, A. A. (1996) · Wiley eBooks · doi:10.1002/9783527617869 · Cited by 618
Self-citationInducing Passive Nonlinear Energy Sinks in Vibrating Systems
Vakakis, A. F. (2001) · Journal of Vibration and Acoustics · doi:10.1115/1.1368883 · Cited by 537
Self-citation
Research works printed but not linked: 4
- Arnold, V.I. (ed.): Dynamical Systems III, Encyclopaedia of Mathematical Sciences, vol. 3. Springer, Berlin and New York (1988).
- Kerschen, G.: On the model validation in non-linear structural dynamics. PhD Dissertation, University of Liege, Department of Aerospace, Mechanics and Materials Engineering (2002)
- Nucera, F.: Nonlinear energy pumping as a strategy for seismic protection. PhD Thesis, University of Calabria at Arcavacata of Rende, Cosenza, Italy (2005)
- Spencer, Jr. B.F., Christenson, R.E., Dyke, S.J.: Next generation benchmark control problem for seismically excited buildings. In: Proceedings of 2nd World Conference on Structural Control, Wiley, New York, Vol. 2, pp. 1135–1360. (1999)
Cited by
Sorted by citations
Items 201–254 of 254
Dynamic Analysis of Micro-shock Absorbers
Liu, C., & Wang, D. (2022) · Journal of Vibration Engineering & Technologies · doi:10.1007/s42417-022-00728-0 · Cited by 2
“Some scholars aimed at choosing the different types of nonlinear stiffness, for example, non-smooth [13, 14], non-polynomial [15], cubic [16], vibro-impact [17–19] to optimize of NES system.”
BackgroundEgidio, A. D., & Contento, A. (2024) · Applied Sciences · doi:10.3390/app14020695 · Cited by 2
Irrational Nonlinearity Enhances the Targeted Energy Transfer in a Rotary Nonlinear Energy Sink
Treacy, C., Stein, D. L., & Chelidze, D. (2024) · Journal of Computational and Nonlinear Dynamics · doi:10.1115/1.4065193 · Cited by 2
Robust Targeted Energy Transfer with Asymmetric Nonlinear Energy Sinks Under Random Excitations
Motato, E. (2024) · International Journal of Structural Stability and Dynamics · doi:10.1142/s0219455425502682 · Cited by 2
Complex Structure of Periodic Orbits in an Oscillator with a Vibro-Impact Attachment
Lee, Y. S., Nucera, F., Vakakis, A. F., McFarland, D. M., & Bergman, L. A. (2009) · Lecture notes in applied and computational mechanics · doi:10.1007/978-3-642-00629-6_17 · Cited by 2
Self-citationTargeted Energy Transfer Phenomena in Vibro-Impact Oscillators
Young Seung, L. E. E., Nucera, F., Vakakis, A. F., McFarland, D. M., Bergman, L. A., Santini, A., & Moraci, N. (2008) · AIP conference proceedings · doi:10.1063/1.2963762 · Cited by 2
Self-citationExperimental Investigation of Low Frequency Noise Reduction Using a Nonlinear Vibroacoustic Absorber
Bellizzi, S., Cochelin, B., Herzog, P., Mattei, P., & Pinhède, C. (2011) · doi:10.1115/detc2011-47431 · Cited by 2
General exact solutions of the second-order homogeneous algebraic differential equations
Xu, Q., Song, C., & Liu, X. (2014) · Linear and Multilinear Algebra · doi:10.1080/03081087.2013.860597 · Cited by 2
Numerical and Experimental Investigation of a New Nonlinear Energy Sink for Passive Shock Mitigation
AL-Shudeifat, M. A., Wierschem, N. E., Vakakis, A. F., Bergman, L. A., & Spencer, B. F. (2012) · ASME Biennial Conference on Mechanical Vibration and Noise · doi:10.1115/detc2012-70453 · Cited by 2
“In addition, the symmetric non-smooth vibro-impact (VI) nonlinearities were also employed to couple the NES mass to the primary structure [9,10] for TET purpose.”
MethodSelf-citationGeneral exact solutions of certain second-order homogeneous algebraic differential equations
He, L., Song, C., & Xu, Q. (2015) · Linear and Multilinear Algebra · doi:10.1080/03081087.2015.1071314 · Cited by 2
Adaptive Time-Delayed Feedback Control Applied to a Vibro-Impact System
Costa, D. D. A., Vaziri, V., Pavlovskaia, E. E., & Wiercigroch, M. (2022) · Mechanisms and machine science · doi:10.1007/978-3-031-15758-5_43 · Cited by 2
Modeling and Design of Multi-Functional Floor Isolation Systems
Harvey, P. S., & Senarathna, N. H. A. (2017) · doi:10.1061/9780784480502.051 · Cited by 2
Li, T., Seguy, S., Lamarque, C., & Berlioz, A. (2018) · Journal of vibration and acoustics · doi:10.1115/1.4041367 · Cited by 2
Zhang, Y., Liang, Y.-J., Zhang, X., Chen, Z., & Kong, X. (2026) · Journal of Vibration Engineering & Technologies · doi:10.1007/s42417-026-02332-y · Cited by 1
Li, J., Qiao, H., Zeng, Z., & Huang, P. (2026) · Journal of Building Engineering · doi:10.1016/j.jobe.2026.115488 · Cited by 1
Theoretical Design and Experimental Validation of a Vibro-Impact Support for Vibration Suppression
Ramirez, D. F. L., Rustighi, E., & Tapia-González, P. E. (2026) · Machines · doi:10.3390/machines14020206 · Cited by 1
“Such mechanisms are a well-established feature of nonlinear vibration absorbers, such as Nonlinear Energy Sinks (NESs), where they enable passive and broadband energy dissipation [9,44].”
Wang, L., Chang, S., Gui, X., Liu, X., Yan, Z., & Nie, X. (2026) · Meccanica · doi:10.1007/s11012-026-02094-7 · Cited by 1
“In 2007, Nucera et al. [28] first applied the vibro-impact nonlinear energy sink (VI-NES) to structural seismic protection, demonstrating its feasibility in rapidly transferring and dissipating seismic energy from the primary structure.”
Qin, Y., Wang, Z., Nie, X., Lin, X., Li, X., Wang, L., & Yan, Z. (2026) · Structures · doi:10.1016/j.istruc.2026.111520 · Cited by 2
Dai, X., Wei, X.-J., Xue, Z., Mottershead, J., & He, X.-H. (2026) · Mechanical systems and signal processing · doi:10.1016/j.ymssp.2026.114390 · Cited by 2
Kumar, R. K., Amoroso, L., Settimi, V., Ferretti, M., & Egidio, A. D. (2026) · Structures · doi:10.1016/j.istruc.2026.112488 · Cited by 1
Mitigation Strategies for Systems Subjected to Vibratory, Shock and Seismic Loads
Bergman, L. A. (2010) · Courses and lectures · doi:10.1007/978-3-7091-0205-3_1 · Cited by 1
Self-citationStudy of Coupled Oscillators with Local and Global Nonlinear Potentials
Charlemagne, S., Lamarque, C., Savadkoohi, A. T., Weiss, M., & Vaurigaud, B. (2016) · Procedia IUTAM · doi:10.1016/j.piutam.2016.03.024 · Cited by 1
Pumhössel, T. (2016) · Journal of Computational and Nonlinear Dynamics · doi:10.1115/1.4034264 · Cited by 1
Stochastic optimization of targeted energy transfer with time-dependent cubic nonlinearity
Labetoulle, A., Missoum, S., Gourdon, E., & Savadkoohi, A. T. (2024) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2024.108314 · Cited by 1
Lamarque, C., & Savadkoohi, A. T. (2015) · Springer proceedings in physics · doi:10.1007/978-3-319-19851-4_11 · Cited by 1
Oliva, M., Barone, G., Iacono, F. L., & Navarra, G. (2017) · Loughborough University Institutional Repository (Loughborough University) · Cited by 1
Constrained Control of Impact Oscillator with Delay
Lalehparvar, M., Aphale, S. S., & Vaziri, V. (2022) · Mechanisms and machine science · doi:10.1007/978-3-031-15758-5_44 · Cited by 1
Analysis of a vibro-impact nonlinear energy sink: theoritical and numerical developmentsPreprint
Li, T., Seguy, S., Berlioz, A., & Gourc, É. (2015) · Cited by 1
Vibration control of a cantilever beam coupled with MTNESPreprint
Fu, J., Wan, S., Li, W., Shen, J., Venugopal, H., Loccufier, M., & Dekemele, K. (2024) · Research Square · doi:10.21203/rs.3.rs-4171243/v1 · Cited by 1
Dynamics of a forced 2 dof piece-wise linear system by consideration of the weight
Savadkoohi, A. T., Lamarque, C., & Dimitrijević, Ž. (2012) · MATEC Web of Conferences · doi:10.1051/matecconf/20120105005
“[21] for considering the vibro-impact NES, Gendelman [22] for considering the non-polynomial NES systems and Lamarque et al.”
MethodLamarque, C., & Savadkoohi, A. T. (2014) · MATEC Web of Conferences · doi:10.1051/matecconf/20141601008
“Some research works have been carried to show the effectiveness of non-smooth NES devices in control of main structures [4–8].”
BackgroundWeiss, M., Savadkoohi, A. T., & Lamarque, C. (2014) · COMPDYN Proceedings · doi:10.7712/120113.4634.c1121
Energy redistribution using cubic nonlinear energy sink in a large-scale structure
Saeed, A. S., & AL-Shudeifat, M. A. (2019) · AIP conference proceedings · doi:10.1063/1.5114520
Analytical, Numerical and Experimental Study of an Enhanced Nonlinear Energy SinkPreprint
Geng, X., & Ding, H. (2021) · Research Square · doi:10.21203/rs.3.rs-390645/v1
Li, S., Wang, T., & Chen, J. (2021) · Research Square · doi:10.21203/rs.3.rs-698793/v1
“In the study of structural protections in earthquake, a vibro-impact nonlinear energy sink (VI-NES) has been proposed in [26] and verified that it can transfer the seismic energy of the main structure passively to the additional nonlinear attachment.”
BackgroundNESs with Non-Smooth Stiffness Characteristics
(2008) · Solid mechanics and its applications · doi:10.1007/978-1-4020-9130-8_7
Targeted Energy Transfer in Linear Continuous Systems with Single- and Multi-DOF NESs
(2008) · Solid mechanics and its applications · doi:10.1007/978-1-4020-9130-8_5
Bastien, J., Bernardin, F., Lamarque, C., & Challamel, N. (2013) · doi:10.1002/9781118604045.biblio
Seismic Mitigation by Targeted Energy Transfer
(2008) · Solid mechanics and its applications · doi:10.1007/978-1-4020-9130-8_10
Robustness Analysis of Asymmetric Nonlinear Energy Sink via Nonlinear Normal Modes
Motato, E. (2024) · Journal of vibration and acoustics · doi:10.1115/1.4067249
Song, B., Martinez, T., & Zhang, Y. (2024) · Journal of Dynamic Behavior of Materials · doi:10.1007/s40870-024-00455-5
An elastic vibro-impact nonlinear energy sink for piezo-driven nanopositioning stages
Zhong, X., Chen, Z., Li, S., Zhang, W., & Zhang, X. (2025) · Journal of Vibration and Control · doi:10.1177/10775463251353642
“Nucera et al. (2007) demonstrated that VI-NESs with non-smooth, nonlinear characteristics can passively absorb and locally dissipate a signi fi cant portion of the seismic energy attached to the main structure.”
Study on the Influence of Impact in Tuned Mass Systems
Pagano, D., Angelis, M. D., & Andreaus, U. (2025) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.70058
“In [42–44], Nucera et al. analyzed a two-degree-of-freedom system to which two PTMDs (one for each degree of freedom) were applied through numerical and experimental analyses.”
Weidemann, T., Bergman, L. A., Vakakis, A. F., & Krack, M. (2026) · Nonlinear Dynamics · doi:10.1007/s11071-026-12607-4
Self-citationExploiting nonlinear dynamics in mass-in-mass chains for metamaterial design
Zanin, C. D. S. (2024) · theses.fr (ABES) · doi:10.70675/d8c221b0z5637z44a9z8b52z74e106c9f14b
Al-Sheyyab, M. A., & Bukhari, M. (2026) · Journal of Computational and Nonlinear Dynamics · doi:10.1115/1.4072272
Roy, S., Coccolo, M., Gupta, S., & Sanjuán, M. A. F. (2026) · Nonlinear Dynamics · doi:10.1007/s11071-026-12771-7
Ma, Y., Wang, Z., Wang, Y., Song, Z., Jin, F., & Hong, J. (2026) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2026.114802
Nonlinear Bistable Mass Damper–Inerter System for Seismic Displacement Mitigation
Pacella, R., Nino, S. D., & Egidio, A. D. (2026) · Applied Sciences · doi:10.3390/app16178611
Metadata
- 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.
- Venue
- Nonlinear Dynamics
- Published
- 2007-01-24
- Volume
- 50
- Issue
- 3
- Pages
- 651-677
- ISSN
- 0924-090X (ISSN-L)
- 1573-269X
- 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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