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
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
Analytic treatment of a system with a vibro-impact nonlinear energy sink
Gendelman, O. V. (2012) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2012.05.021 · Cited by 179
An inertial nonlinear energy sink
Zhang, Z., Lu, Z.-Q., Ding, H., & Chen, L.-Q. (2019) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2019.03.014 · Cited by 167
The tuned bistable nonlinear energy sink
Habib, G., & Romeo, F. (2017) · Nonlinear Dynamics · doi:10.1007/s11071-017-3444-y · Cited by 169
“A number of NES designs were so far proposed, such as a cubic nonlinearity [8,9], vibro-impact device [10], eccentric rotator [11] and tuned pendulum [12].”
MethodNonlinear targeted energy transfer: state of the art and new perspectives
Vakakis, A. F., Gendelman, O., Bergman, L. A., Mojahed, A., & Gzal, M. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-022-07216-w · Cited by 168
“From an implementation perspective, however, vibroimpact and rotary nonlinearities were subsequently employed in NES designs due to their relative simplicity, even though they entailed further analytical challenges [4, 6, 56, 84, 91, 106]).”
Self-citationAL-Shudeifat, M. A., Wierschem, N., Quinn, D. D., Vakakis, A. F., Bergman, L. A., & Spencer, B. F. (2013) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2013.02.004 · Cited by 161
Self-citationLee, Y. S., Nucera, F., Vakakis, A. F., McFarland, D. M., & Bergman, L. A. (2009) · Physica D: Nonlinear Phenomena · doi:10.1016/j.physd.2009.06.013 · Cited by 157
“As discussed in earlier works [5,10], precise computation of the time instants where vibro-impacts occur is essential for the accuracy of the numerical simulations.”
BackgroundMethodInfluentialSelf-citationSigalov, 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-citationPassive non-linear targeted energy transfer and its applications to vibration absorption: A review
Lee, Y. S., Vakakis, A. F., Bergman, L. A., McFarland, D. M., Kerschen, G., Nucera, F., Tsakirtzis, S., & Panagopoulos, P. N. (2008) · Proceedings of the Institution of Mechanical Engineers Part K Journal of Multi-body Dynamics · doi:10.1243/14644193jmbd118 · Cited by 157
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-citationNucera, 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
Self-citationExperimental study of track nonlinear energy sinks for dynamic response reduction
Wang, J., Wierschem, N., Spencer, B. F., & Lu, X. (2015) · Engineering Structures · doi:10.1016/j.engstruct.2015.03.007 · Cited by 142
Nonlinear Energy Sink for Whole-Spacecraft Vibration Reduction
Yang, K., Zhang, Y., Ding, H., Yang, T., Li, Y., & Chen, L. (2016) · Journal of vibration and acoustics · doi:10.1115/1.4035377 · Cited by 142
Huang, X., & Yang, B. (2022) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2022.109496 · Cited by 141
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
Self-citationTargeted energy transfer in mechanical systems by means of non-smooth nonlinear energy sink
Lamarque, C., Gendelman, O., Savadkoohi, A. T., & Etcheverria, E. (2011) · Acta Mechanica · doi:10.1007/s00707-011-0492-0 · Cited by 137
Efficient targeted energy transfer of bistable nonlinear energy sink: application to optimal design
Qiu, D.-H., Li, T., Seguy, S., & Paredes, M. (2018) · Nonlinear dynamics · doi:10.1007/s11071-018-4067-7 · Cited by 3
“Depending on the type of nonlinearity, various kinds of NES have been proposed and studied, such as oscillating dissipative attachments with essentially strong cubic stiffness [12, 13], rotational element [14,15], piece-wise NES [16,17], vibro-impact NES [18,19], NES by nonlinear membrane [20] and magnet based NES [21…”
BackgroundGourc, E., Michon, G., Seguy, S., & Berlioz, A. (2015) · Journal of Vibration and Acoustics · doi:10.1115/1.4029285 · Cited by 134
Bellet, R., Cochelin, B., Herzog, P., & Mattei, P. (2010) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2010.01.029 · Cited by 134
Dynamics of forced system with vibro-impact energy sink
Gendelman, O. V., & Alloni, A. (2015) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2015.08.020 · Cited by 130
Luo, J., Wierschem, N. E., Hubbard, S. A., Fahnestock, L. A., Dane Quinn, D., Michael McFarland, D., Spencer, B. F., Vakakis, A. F., & Bergman, L. A. (2014) · Engineering Structures · doi:10.1016/j.engstruct.2014.07.020 · Cited by 120
“The nonlinear dynamic response of structures with attached NESs has been studied through extensive analytical studies and numerical simulations as well as a number of bench-scale experiments [13–22].”
BackgroundSelf-citationPerformance, robustness and sensitivity analysis of the nonlinear tuned vibration absorber
Detroux, T., Habib, G., Masset, L., & Kerschen, G. (2015) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2015.01.035 · Cited by 116
Self-citationLu, X., Liu, Z., & Lu, Z. (2017) · Structural Control and Health Monitoring · doi:10.1002/stc.2033 · Cited by 115
Track Nonlinear Energy Sink for Rapid Response Reduction in Building Structures
Wang, J., Wierschem, N. E., Spencer, B. F., & Lü, X. (2014) · Journal of Engineering Mechanics · doi:10.1061/(asce)em.1943-7889.0000824 · Cited by 113
Numerical and experimental investigations of a rotating nonlinear energy sink
AL-Shudeifat, M. A., Wierschem, N. E., Bergman, L. A., & Vakakis, A. F. (2017) · Meccanica · doi:10.1007/s11012-016-0422-2 · Cited by 109
Self-citationUsing grounded nonlinear energy sinks to suppress lateral vibration in rotor systems
Yao, H., Cao, Y., Ding, Z., & Wen, B. (2019) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2019.01.054 · Cited by 108
Enhanced passive targeted energy transfer in strongly nonlinear mechanical oscillators
Gendelman, O., Sapsis, T. P., Vakakis, A. F., & Bergman, L. A. (2010) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2010.08.014 · Cited by 106
“In previous works it has been shown theoretically, numerically and experimentally that the NES can efficiently protect a primary structure against impulsive excitations [6], harmonic (narrowband) loads [7,8], and seismic excitations [9], and it has also been applied to passively suppressing aeroelastic instabilities […”
BackgroundSelf-citationAn integrated nonlinear passive vibration control system and its vibration reduction properties
Jiang, G., Wang, Y., Li, F., & Jing, X. (2021) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2021.116231 · Cited by 104
On the dynamics around targeted energy transfer for vibro-impact nonlinear energy sink
Li, T., Seguy, S., & Berlioz, A. (2017) · Nonlinear Dynamics · doi:10.1007/s11071-016-3127-0 · Cited by 103
“Many kinds ofNESwith different couple nonlinearities are developed and investigated: cubic NES [6–9], rotational NES [10,11], piece-wise NES [12], NES by nonlinear membrane [13,14] and vibro-impact (VI) NES [15,16], in which special orbits for the occurrence of TET are observed by studying the underlying Hamiltonian s…”
BackgroundVibration reduction in unbalanced hollow rotor systems with nonlinear energy sinks
Guo, C., AL-Shudeifat, M. A., Vakakis, A. F., Bergman, L. A., McFarland, D. M., & Yan, J. (2014) · Nonlinear Dynamics · doi:10.1007/s11071-014-1684-7 · Cited by 97
“The nonsmooth nonlinearity was realized by combining linear elastic and vibro-impact elements [21,25,26].”
MethodSelf-citationAsymmetric Magnet-Based Nonlinear Energy Sink
AL-Shudeifat, M. A. (2015) · Journal of Computational and Nonlinear Dynamics · doi:10.1115/1.4027462 · Cited by 94
Quenching chatter instability in turning process with a vibro-impact nonlinear energy sink
Gourc, E., Seguy, S., Michon, G., Berlioz, A., & Mann, B. P. (2015) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2015.06.025 · Cited by 92
Design criteria of bistable nonlinear energy sink in steady-state dynamics of beams and plates
Li, H., Li, A., & Kong, X. (2021) · Nonlinear Dynamics · doi:10.1007/s11071-020-06178-1 · Cited by 91
Li, T., Gourc, E., Seguy, S., & Berlioz, A. (2017) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2017.01.010 · Cited by 90
Haris, A., Motato, E., Theodossiades, S., Rahnejat, H., Kelly, P. C., Vakakis, A. F., Bergman, L. A., & McFarland, D. M. (2016) · Applied Mathematical Modelling · doi:10.1016/j.apm.2016.09.030 · Cited by 83
Self-citationLi, T., Seguy, S., & Berlioz, A. (2017) · Nonlinear Dynamics · doi:10.1007/s11071-016-3200-8 · Cited by 82
Theoretical and experimental study of an enhanced nonlinear energy sink
Geng, X., & Ding, H. (2021) · Nonlinear Dynamics · doi:10.1007/s11071-021-06553-6 · Cited by 86
AL-Shudeifat, M. A., Vakakis, A. F., & Bergman, L. A. (2016) · Journal of Computational and Nonlinear Dynamics · doi:10.1115/1.4030540 · Cited by 80
Self-citationOn the energy transfer mechanism of the single-sided vibro-impact nonlinear energy sink
Li, W., Wierschem, N. E., Li, X., & Yang, T. (2018) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2018.08.057 · Cited by 81
Wang, J., Wierschem, N., Spencer, B. F., & Lu, X. (2016) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.2677 · Cited by 76
“[16, 17] reported the computational investigation as well as the experimental validation of a three-DOF structure with a smooth NES and a VI NES attached to different floors.”
A magnetic nonlinear energy sink with quasi-zero stiffness characteristics
Liu, X.-C., Ding, H., Geng, X., Wei, K., Lai, S.-K., & Chen, L. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-09379-0 · Cited by 76
Vibratory energy exchange between a linear and a nonsmooth system in the presence of the gravity
Savadkoohi, A. T., Lamarque, C., & Dimitrijević, Z. (2012) · Nonlinear Dynamics · doi:10.1007/s11071-012-0548-2 · Cited by 72
AL-Shudeifat, M. A., & Saeed, A. S. (2021) · Nonlinear Dynamics · doi:10.1007/s11071-021-06802-8 · Cited by 67
Vibro-impact attachments as shock absorbers
Karayannis, I., Vakakis, A. F., & Georgiades, F. (2008) · Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science · doi:10.1243/09544062jmes864 · Cited by 69
Self-citationTargeted energy transfer and modal energy redistribution in automotive drivetrains
Motato, E., Haris, A., Theodossiades, S., Mohammadpour, M., Rahnejat, H., Kelly, P. C., Vakakis, A. F., McFarland, D. M., & Bergman, L. A. (2016) · Nonlinear Dynamics · doi:10.1007/s11071-016-3034-4 · Cited by 68
Self-citationDesign criteria for optimally tuned vibro-impact nonlinear energy sink
Qiu, D., Seguy, S., & Paredes, M. (2019) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2018.11.021 · Cited by 63
“Recently, impact damper has been re-examined from the viewpoint of Targeted Energy Transfer (TET) [8, 9], and is then referred to as Vibro-Impact (VI) Nonlinear Energy Sink (NES) [10, 11, 12].”
BackgroundComparison 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
A new Hysteretic Nonlinear Energy Sink (HNES)
Tsiatas, G. C., & Charalampakis, A. E. (2018) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2017.12.014 · Cited by 65
“In Type IV NES design, a rotating NES has been introduced coupled to a primary linear oscillator through an essentially nonlinear inertial nonlinearity [14]-[17], whereas Type V and VI designs are devoted to strongly nonlinear vibro-impact coupling [18]-[23].”
MethodWang, 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
Li, S., Wu, H., & Chen, J. (2021) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2021.103891 · Cited by 62
Li, T., Seguy, S., & Berlioz, A. (2016) · Journal of Vibration and Acoustics · doi:10.1115/1.4032725 · Cited by 60
“For seismic mitigation, a Vibro-Impact (VI) NES is studied numerically and experimentally in [7,8].”
MethodDynamic analysis of track nonlinear energy sinks subjected to simple and stochastice excitations
Wang, J., Wang, B., Wierschem, N. E., & Spencer, B. F. (2020) · Earthquake Engineering & Structural Dynamics · doi:10.1002/eqe.3268 · Cited by 60
Performance evaluation and design criterion of a nonlinear energy sink
Wang, G., Ding, H., & Chen, L. (2021) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2021.108770 · Cited by 60
Oliva, M., Barone, G., & Navarra, G. (2017) · Engineering Structures · doi:10.1016/j.engstruct.2017.03.027 · Cited by 57
“NES configurations can be categorized depending 20 on the operating mechanisms, as grounded [3,4] or ungrounded [5,6], and as smooth [7,15,16] or non21 smooth [9,10].”
BackgroundDynamic load mitigation using negative effective mass structures
Manimala, J. M., Huang, H. H., Sun, C. T., Snyder, R., & Bland, S. M. (2014) · Engineering Structures · doi:10.1016/j.engstruct.2014.08.052 · Cited by 56
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
Li, H., Li, A., Kong, X., & Xiong, H. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-022-07253-5 · Cited by 58
“advances include but not restricted to the single-sided VINES [45,46], the hybridVINESswith combined linear or nonlinear stiffness [47,48],VINESwith symmetric piecewise nonlinearities [49], rotary-impact NES”
BackgroundImpact load wave transmission in elastic metamaterials
Khan, M. H., Li, B., & Tan, K. T. (2018) · International Journal of Impact Engineering · doi:10.1016/j.ijimpeng.2018.04.004 · Cited by 54
Li, W., Wierschem, N. E., Li, X., Yang, T., & Brennan, M. J. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-05571-0 · Cited by 53
Tuned pendulum as nonlinear energy sink for broad energy range
Farid, M., & Gendelman, O. (2015) · Journal of Vibration and Control · doi:10.1177/1077546315578561 · Cited by 52
“These suggested designs include continuous NES with cubic nonlinearity (Gendelman, 2001; Vakakis et al., 2008), vibro-impact NES (Babitsky, 1966; Nucera et al., 2007; Gendelman, 2012), acoustic NES (Cochelin et al., 2006), piecewise-linear NES, and some others.”
BackgroundMethodInternal resonance analysis of bio-inspired X-shaped structure with nonlinear vibration absorber
Xiong, X., Wang, Y., Li, J., & Li, F. (2022) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2022.109809 · Cited by 51
Gibson, B., Nguyen, T. A., Sinaie, S., Heath, D., & Ngo, T. (2022) · Building and Environment · doi:10.1016/j.buildenv.2022.109531 · Cited by 47
The transmissibility of nonlinear energy sink based on nonlinear output frequency-response functions
Yang, K., Zhang, Y., Ding, H., & Chen, L. (2016) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2016.08.008 · Cited by 47
Nonlinear energy transfer from an engine crankshaft to an essentially nonlinear attachment
Ahmadabadi, Z. N. (2018) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2018.11.040 · Cited by 46
Huang, D., Li, R., & Yang, G. (2019) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2019.104916 · Cited by 46
Nonlinear Energy Sinks With Piecewise-Linear Nonlinearities
AL-Shudeifat, M. A. (2019) · Journal of Computational and Nonlinear Dynamics · doi:10.1115/1.4045052 · Cited by 45
Two-dimensional nonlinear energy sink for effective passive seismic mitigation
Saeed, A. S., AL-Shudeifat, M. A., Cantwell, W. J., & Vakakis, A. F. (2021) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2021.105787 · Cited by 45
Self-citationTaleshi, M., Dardel, M., & Pashaie, M. H. (2016) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2016.09.017 · Cited by 44
Vibration absorption of parallel-coupled nonlinear energy sink under shock and harmonic excitations
Chen, J., Zhang, W., Liu, J., & Hu, W. (2021) · Applied Mathematics and Mechanics · doi:10.1007/s10483-021-2757-6 · Cited by 43
Rapid non-resonant intermodal targeted energy transfer (IMTET) caused by vibro-impact nonlinearity
Gzal, M., Fang, B., Vakakis, A. F., Bergman, L. A., & Gendelman, O. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-05909-8 · Cited by 43
Self-citationOptimal design of nonlinear energy sinks for mitigation of seismic response on structural systems
Gómez, F., Fermandois, G. A., & Spencer, B. F. (2021) · Engineering Structures · doi:10.1016/j.engstruct.2020.111756 · Cited by 46
Forced System with Vibro-impact Energy Sink: Chaotic Strongly Modulated Responses
Gendelman, O., & Alloni, A. (2016) · Procedia IUTAM · doi:10.1016/j.piutam.2016.03.009 · Cited by 40
Nonlinear normal modes and optimization of a square root nonlinear energy sink
Wang, G., Ding, H., & Chen, L. (2021) · Nonlinear Dynamics · doi:10.1007/s11071-021-06334-1 · Cited by 40
Meng, H., Huang, X., Chen, Y., Theodossiades, S., & Chronopoulos, D. (2021) · Applied Acoustics · doi:10.1016/j.apacoust.2021.108240 · Cited by 40
Chaos in impact oscillators not in vain: Dynamics of new mass excited oscillator
Costa, D. D. A., Vaziri, V., Kapitaniak, M., Kovacs, S., Pavlovskaia, E. E., Savi, M. A., & Wiercigroch, M. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-05644-0 · Cited by 38
Nonlinear Energy Sinks With Nontraditional Kinds of Nonlinear Restoring Forces
AL-Shudeifat, M. A. (2017) · Journal of Vibration and Acoustics · doi:10.1115/1.4035479 · Cited by 37
Benarous, N., & Gendelman, O. (2015) · Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science · doi:10.1177/0954406215579930 · Cited by 34
“According to Gendelman,(24) the right-hand side of system (9) is obtained by computation of the first Fourier harmonics of the expressions obtained from equation (8) by division by expði! Þ.”
MethodNonlinear Oscillatory Acoustic Vacuum
Manevitch, L. I., & Vakakis, A. F. (2014) · SIAM Journal on Applied Mathematics · doi:10.1137/140957949 · Cited by 33
Self-citationResponse regimes in linear oscillator with 2DOF nonlinear energy sink under periodic forcing
Grinberg, I., Lanton, V., & Gendelman, O. (2012) · Nonlinear Dynamics · doi:10.1007/s11071-012-0394-2 · Cited by 33
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
“This is consistent with the momentum conservation principle that has been applied for this kind of problems in the literature [Nucera et al., 2007; Bergman, 2010; Vakakis et al., 2008]: mn−1 vn−1 + mn vn = mn−1 v′n−1 + mn v′n. (6) After determining the velocities of the colliding masses just before…”
BackgroundYoussef, B., & Leine, R. I. (2021) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2021.116043 · Cited by 32
Lo Feudo, S., Job, S., Cavallo, M., Fraddosio, A., Piccioni, M. D., & Tafuni, A. (2022) · Engineering Structures · doi:10.1016/j.engstruct.2022.114137 · Cited by 31
“[40] Nucera F, Vakakis AF, Michael McFarland D, Bergman LA, Kerschen G.”
BackgroundMethodDynamical analysis and numerical verification of a non-smooth nonlinear energy sink
Li, S., Li, J., Zhu, H., & Lai, S.-K. (2023) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2023.104381 · Cited by 30
Vibration control of a cantilever beam coupled with magnetic tri-stable nonlinear energy sink
Fu, J., Wan, S., Li, W., Shen, J., Venugopal, H., Loccufier, M., & Dekemele, K. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-09849-5 · Cited by 30
“Vibro-impact NESs have high-frequency internal resonances behavior with the host structure, and dissipate energy through the impact of oscillators [30–35].”
Dynamics of a hybrid vibro‐impact nonlinear energy sink
Farid, M., Gendelman, O., & Babitsky, V. (2019) · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · doi:10.1002/zamm.201800341 · Cited by 29
MULTI-SCALE DYNAMICS OF TWO COUPLED NONSMOOTH SYSTEMS
Lamarque, C., Savadkoohi, A. T., Etcheverria, E., & Dimitrijević, Z. (2012) · International Journal of Bifurcation and Chaos · doi:10.1142/s0218127412502951 · Cited by 29
Weiss, M., Savadkoohi, A. T., Gendelman, O., & Lamarque, C. (2014) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2014.03.002 · Cited by 28
Analysis of the 1:1 resonant energy exchanges between coupled oscillators with rheologies
Savadkoohi, A. T., Lamarque, C., Weiss, M., Vaurigaud, B., & Charlemagne, S. (2016) · Nonlinear Dynamics · doi:10.1007/s11071-016-2792-3 · Cited by 28
Vibration mitigation in partially liquid-filled vessel using passive energy absorbers
Farid, M., Levy, N., & Gendelman, O. (2017) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2017.06.013 · Cited by 27
Zhang, L., Kerschen, G., & Li, C. (2022) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2022.109244 · Cited by 26
“4 vibro-impacts were also developed to transfer energy between structural modes [38].”
BackgroundSelf-citationMultistable nonlinear energy sink with variable stiffness of seismic vibration control
Hu, H., Qin, H., Zhang, Z., & Xu, Z.-D. (2024) · Engineering Structures · doi:10.1016/j.engstruct.2024.119552 · Cited by 26
Switching between periodic orbits in impact oscillator by time-delayed feedback methods
Costa, D. D. A., Vaziri, V., Pavlovskaia, E. E., Savi, M. A., & Wiercigroch, M. (2022) · Physica D Nonlinear Phenomena · doi:10.1016/j.physd.2022.133587 · Cited by 25
“Depending on the application, impacts can be the desired behaviour as in the Resonance Enhanced Drilling [8–10], seismic mitigation [11], and energy harvesters [12] or an undesired one that should be avoided to prevent damages and imperfections as in machining [13,14].”
BackgroundA two-dimensional nonlinear vibration absorber using elliptical impacts and sliding
Wang, C., Brown, J. D., Singh, A., & Moore, K. J. (2022) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2022.110068 · Cited by 25
Exploring effective TET through a vibro-impact nonlinear energy sink over broad parameter regimes
Kumar, R., Kuske, R., & Yurchenko, D. (2023) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2023.118131 · Cited by 25
“A number of measures are reported in the literature to quantify the energy transfer through the TET mechanism, see [21, 27–29] for details.”
Response regimes in equivalent mechanical model of strongly nonlinear liquid sloshing
Farid, M., & Gendelman, O. (2017) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2017.04.006 · Cited by 25
Nonlinear energy sink and Eurocode 8: An optimal design approach based on elastic response spectra
Oliva, M., Barone, G., Iacono, F. L., & Navarra, G. (2020) · Engineering Structures · doi:10.1016/j.engstruct.2020.111020 · Cited by 25
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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