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Transition of Energy to a Nonlinear Localized Mode in a Highly Asymmetric System of Two Oscillators
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“An important outcome of Vakakis and Gendelman in 2001 [48-51] was that the NESs are frequencyindependent and thus can be excited at any frequency if the amplitude is sufficient.”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [48]
In the citing paper
“The concept of using nonlinear energy sinks for TET was first introduced by Vakakis and Gendelman in 2001 where they showed analytically that properly designed NESs can perform one-way irreversible passive and effective TET in the considered systems for broadband frequency ranges [48][49][50][51].”
From A review on nonlinear energy sinks: designs, analysis and applications of impact and rotary types (2023) · cites this paper as [48]
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Research works printed but not linked: 8
- Vakakis, A. F., Manevitch, L. I., Mikhlin, Y. V., Pilipchuk, V. N., and Zevin, A. A., Normal Modes and Localization in Nonlinear Systems, Wiley Interscience, New York, 1996. · DOI
- Kosevitch, A. M. and Kovalev, A. S., Introduction to Nonlinear Physical Mechanics, Naukova Dumka, Kiev, 1989 [in Russian].
- Ablowitz, M. J. and Segur, H., Solitons and the Inverse Scattering Transform, SIAM, Philadelphia, PA, 1981. · DOI
- Landau, L. D. and Lifshits, E.M., Theoretical Physics, Vol. 1: Mechanics, Nauka, Moscow, 1988 [in Russian].
- Manevitch, L. I. and Cherevatsky, B. P., 'On the approximate description of normal vibrations in the nonlinear 2DOF system', in Problems of Toughness, Reliability and Fracture of Mechanical Systems, Dnepropetrovsk, 1969, pp. 26–34 [in Russian].
- Hayashi, C., Nonlinear Oscillations in Physical Systems, McGraw-Hill, New York, 1964.
- Salenger, G., Vakakis, A. F., Gendelman, O., Manevitch, L., and Andrianov, I., 'Transitions from strongly-to weakly-nonlinear motions of damped nonlinear oscillators', Nonlinear Dynamics 20(2), 1999, 99–114. · DOI
- Rosenberg, R., 'The Ateb(h)-functions and their properties', Quarterly of Applied Mathematics 21(1), 1963, 37–47. · DOI
Cited by
Sorted by citations
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
Sigalov, G., Gendelman, O. V., AL-Shudeifat, M. A., Manevitch, L. I., Vakakis, A. F., & Bergman, L. A. (2012) · Nonlinear Dynamics · doi:10.1007/s11071-012-0379-1 · Cited by 155
Self-citationDynamics 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
Self-citationComparison 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
Pennisi, G., Stephan, C., Gourc, E., & Michon, G. (2017) · Nonlinear Dynamics · doi:10.1007/s11071-017-3344-1 · Cited by 51
Structural Seismic Response Mitigation using Optimized Vibro-Impact Nonlinear Energy Sinks
Ahmadi, M., K. A. Attari, N., & Shahrouzi, M. (2015) · Journal of Earthquake Engineering · doi:10.1080/13632469.2014.962671 · Cited by 30
Al-Shudeifat, M. A., & Saeed, A. S. (2022) · Journal of Computational and Nonlinear Dynamics · doi:10.1115/1.4053509 · Cited by 31
Gzal, M., Vakakis, A. F., Bergman, L. A., & Gendelman, O. V. (2021) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2021.106012 · Cited by 30
Self-citation
Metadata
- Authors
- Gendelman, O. V.
- Affiliations
- Semenov Institute of Chemical Physics (RU)
- Corresponding author
- Gendelman, Oleg V.
- ORCID
- Gendelman, Oleg V.
- Venue
- Nonlinear Dynamics
- Published
- 2001-07
- Volume
- 25
- Issue
- 1-3
- Pages
- 237-253
- ISSN
- 0924-090X (ISSN-L)
- 1573-269X
- OpenAlex
- W4249594126
- Cited by
- 274
- References
- 0
- Citations by year
- 2026: 12 · 2025: 21 · 2024: 21 · 2023: 15 · 2022: 17 · 2021: 17 · 2020: 15 · 2019: 10 · 2018: 16 · 2017: 10 · 2016: 11 · 2015: 10 · 2014: 12 · 2013: 7 · 2012: 8
- FWCI
- 8.52
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Nonlinear Dynamics (publishedVersion)
- Funders
- University of Illinois at Urbana-Champaign
- Topics
- Physical Sciences › Engineering › Mechanical Engineering › Vibration and Dynamic Analysis
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Dynamics and Pattern Formation
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Photonic Systems
- Keywords
- energy redistribution, nonlinear normal modes, subharmonic resonance, energy localization, strongly nonlinear oscillators, mode excitation
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