Dynamics of Cubic and Vibro-Impact Nonlinear Energy Sink: Analytical, Numerical, and Experimental Analysis
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This paper is devoted to study and compare dynamics of primary linear oscillator (LO) coupled to cubic and vibro-impact (VI) nonlinear energy sink (NES) under transient and periodic forcing. The classic analytical procedure combining the approach of invariant manifold and multiple scales is extended from the analysis of steady-state resonance to other regimes, especially strongly modulated response (SMR). A general equation governing the variation of motion along the slow invariant manifold (SIM) is obtained. Numerical results show its convenience to explain the transition from steady-state response to SMR and the characteristics of SMR for periodic forcing. Targeted energy transfer (TET) under transient forcing can also be well understood. Experimental results from LO coupled to VI NES under periodic forcing confirm the existence of SMR and its properties (e.g., chaotic). They also verify the feasibility of the general equation to explain complicated case like SMR in experiments.
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Most studies related to DSVI NES consider forced excitation to analytically investigate the dynamical behavior of the system.
“Most studies such as [94-101, 176, 177, 232] which are related to DSVI NES consider the forced excitation to analytically investigate the dynamical behavior of the system.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [96]
Numerous works considered SDOF primary linear oscillator coupled with DSVI NES.
“Numerous works considered SDOF primary linear oscillator coupled with DSVI NES [95-101, 176, 177, 232].”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [96]
Cites
Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems
(2009) · Solid Mechanics and Its Applications · doi:10.1007/978-1-4020-9130-8 · Cited by 699 · see citing works
Targeted energy transfers in vibro-impact oscillators for seismic mitigation
Nucera, F., Vakakis, A. F., McFarland, D. M., Bergman, L. A., & Kerschen, G. (2007) · Nonlinear Dynamics · doi:10.1007/s11071-006-9189-7 · Cited by 254 · see citing works
Nucera, F., Lo Iacono, F., McFarland, D. M., Bergman, L. A., & Vakakis, A. F. (2008) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2007.11.018 · Cited by 148 · see citing works
Dynamics of an Eccentric Rotational Nonlinear Energy Sink
Gendelman, O. V., Sigalov, G., Manevitch, L. I., Mane, M., Vakakis, A. F., & Bergman, L. A. (2012) · Journal of Applied Mechanics · doi:10.1115/1.4005402 · Cited by 143 · see citing works
Nucera, F., McFarland, D. M., Bergman, L. A., & Vakakis, A. F. (2010) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2010.01.020 · Cited by 139 · see citing works
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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 · see citing works
“In [96], the authors studied analytically and numerically the same SDOF system coupled with DSVI NES by generalizing the proposed approach in [93] through relaxing the 1:1 resonance capture condition.”
MethodComparison of a modified vibro-impact nonlinear energy sink with other kinds of NESs
AL-Shudeifat, M. A., & Saeed, A. S. (2021) · Meccanica · doi:10.1007/s11012-020-01193-3 · Cited by 64 · see citing works
Li, T., Qiu, D., Seguy, S., & Berlioz, A. (2017) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2017.05.033 · Cited by 55 · see citing works
Self-citationChaotic characteristic of a linear oscillator coupled with vibro-impact nonlinear energy sink
Li, T., Lamarque, C.-H., Seguy, S., & Berlioz, A. (2018) · Nonlinear Dynamics · doi:10.1007/s11071-017-4015-y · Cited by 51 · see citing works
Self-citation
- Authors
- Li, T., Seguy, S., & Berlioz, A.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- Venue
- Journal of Vibration and Acoustics
- Publisher
- Wiley
- Published
- 2016-04-12
- Volume
- 138
- Issue
- 3
- Pages
- 031010-9
- ISSN
- 0739-3717 (ISSN-L)
- 1048-9002
- 1528-8927
- OpenAlex
- W2260353203
- Cited by
- 60
- References
- 5
- Citations by year
- 2026: 5 · 2025: 7 · 2024: 4 · 2023: 4 · 2022: 6 · 2021: 10 · 2020: 4 · 2019: 7 · 2018: 2 · 2017: 7 · 2016: 4
- FWCI
- 9.06
- Type
- journal article
- Language
- en
- Open access
- Licence
- other-oa
- Locations
- Journal of vibration and acoustics (publishedVersion)
- HAL (submittedVersion, other-oa)
- Topics
- Physical Sciences › Engineering › Civil and Structural Engineering › Vibration Control and Rheological Fluids
- Physical Sciences › Engineering › Control and Systems Engineering › Vibration and Dynamic Analysis
- Physical Sciences › Engineering › Mechanical Engineering › Innovative Energy Harvesting Technologies
- Keywords
- nonlinear energy sink, slow invariant manifold, multiple scales, strongly modulated response, targeted energy transfer, transient forcing, periodic forcing, chaotic response, energy harvesting
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