Targeted Energy Transfer Under Harmonic Forcing With a Vibro-Impact Nonlinear Energy Sink: Analytical and Experimental Developments
Open accessAbstract
Recently, it has been demonstrated that a vibro-impact type nonlinear energy sink (VI-NES) can be used efficiently to mitigate vibration of a linear oscillator (LO) under transient loading. The objective of this paper is to investigate theoretically and experimentally the potential of a VI-NES to mitigate vibrations of an LO subjected to a harmonic excitation (nevertheless, the presentation of an optimal VI-NES is beyond the scope of this paper). Due to the small mass ratio between the LO and the flying mass of the NES, the obtained equations of motion are analyzed using the method of multiple scales in the case of 1:1 resonance. It is shown that in addition to periodic response, system with VI-NES can exhibit strongly modulated response (SMR). Experimentally, the whole system is embedded on an electrodynamic shaker. The VI-NES is realized with a ball which is free to move in a cavity with a predesigned gap. The mass of the ball is less than 1% of the mass of the LO. The experiment confirms the existence of periodic and SMR regimes. A good agreement between theoretical and experimental results is observed.
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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 [100]
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 [100]
For VI NES, due to absence of a stable lower branch, the system leaves the regime of 1:1 resonance but is captured again by the SIM after getting energized.
“For the case of VI NES, due to the absence of stable lower branch, the system will leave the regime of 1:1 resonance but will be captured again by the SIM after getting energized [99,100].”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [100]
Cites
Targeted energy transfers in vibro-impact oscillators for seismic mitigation
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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
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
Comparison 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
Wang, J., Wierschem, N. E., Wang, B., & Spencer, B. F. (2020) · The Structural Design of Tall and Special Buildings · doi:10.1002/tal.1692 · Cited by 62 · see citing works
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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-citationPennisi, G., Stephan, C., Gourc, E., & Michon, G. (2017) · Nonlinear Dynamics · doi:10.1007/s11071-017-3344-1 · Cited by 51 · see citing works
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- Authors
- Gourc, E., Michon, G., Seguy, S., & Berlioz, A.
- Affiliations
- Institut Clément Ader, INSA, Université de Toulouse, Toulouse F-31077, France
- Institut Clément Ader (FR)
- Institut National des Sciences Appliquées de Toulouse (FR)
- Université Toulouse III - Paul Sabatier (FR)
- Venue
- Journal of Vibration and Acoustics
- Publisher
- Wiley
- Published
- 2015-06-01
- Volume
- 137
- Issue
- 3
- Pages
- 031008-7
- ISSN
- 0739-3717 (ISSN-L)
- 1048-9002
- 1528-8927
- OpenAlex
- W1991044546
- Cited by
- 134
- References
- 3
- Citations by year
- 2026: 6 · 2025: 16 · 2024: 17 · 2023: 10 · 2022: 19 · 2021: 12 · 2020: 12 · 2019: 6 · 2018: 12 · 2017: 8 · 2016: 15 · 2015: 1
- FWCI
- 15.33
- 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
- vibration energy harvesting, vibration suppression, harmonic excitation, 1:1 resonance, method of multiple scales, strongly modulated response, linear oscillator, electrodynamic shaker
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