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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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
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
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Differential equations with discontinuous right hand sides
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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
Designs, analysis, and applications of nonlinear energy sinks
Ding, H., & Chen, L.-Q. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-05724-1 · Cited by 553
“Moreover, complicated dynamics, such as sustained nonlinear resonance scattering phenomenon, occurred in the linear primary system with the vibro-impact NES [93].”
BackgroundInfluentialNonlinear dissipative devices in structural vibration control: A review
Lu, Z., Wang, Z., Zhou, Y. M., & Lü, X. (2018) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2018.02.052 · Cited by 511
Highly efficient nonlinear energy sink
AL-Shudeifat, M. A. (2014) · Nonlinear Dynamics · doi:10.1007/s11071-014-1256-x · Cited by 237
A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types
Saeed, A. S., Abdul Nasar, R., & AL-Shudeifat, M. A. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-022-08094-y · Cited by 208
A state-of-the-art review on the dynamic design of nonlinear energy sinks
Geng, X., Ding, H., Ji, J., Wei, K., Jing, X., & Chen, L. (2024) · Engineering Structures · doi:10.1016/j.engstruct.2024.118228 · Cited by 194
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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