Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems

Experimental proof of emergent subharmonic attenuation zones in a nonlinear locally resonant metamaterial

Zega, V., Silva, P. B., Geers, M. G. D., & Kouznetsova, V. G. (2020) · Scientific Reports · doi:10.1038/s41598-020-68894-3 · Cited by 37

Vibration Control of Conveying Fluid Pipe Based on Inerter Enhanced Nonlinear Energy Sink

Duan, N., Wu, Y., Sun, X., & Zhong, C. (2021) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2021.3049268 · Cited by 35

A multi-stable nonlinear energy sink for torsional vibration of the rotor system

Cao, Y., Yao, H.-L., Dou, J.-X., & Bai, R.-X. (2022) · Nonlinear dynamics · doi:10.1007/s11071-022-07681-3 · Cited by 31

Frictional phenomena within a quasi zero stiffness vibration device

Shaw, A. D., Gatti, G., Gonçalves, P. J. P., Tang, B., & Brennan, M. J. (2024) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2024.111113 · Cited by 34

Frequency–energy plots of steady-state solutions for forced and damped systems, and vibration isolation by nonlinear mode localization

Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A., & Vakakis, A. F. (2014) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2013.12.018 · Cited by 34

Targeted Energy Transfer Between a Swept Wing and Winglet-Housed Nonlinear Energy Sink

Hubbard, S. A., McFarland, D. M., Bergman, L. A., Vakakis, A. F., & Andersen, G. (2014) · AIAA Journal · doi:10.2514/1.j052538 · Cited by 34

Attractor local dimensionality, nonlinear energy transfers and finite-time instabilities in unstable dynamical systems with applications to two-dimensional fluid flows

Sapsis, T. P. (2013) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2012.0550 · Cited by 33

Nonlinear vibration mitigation of a crane’s payload using pendulum absorber

Yurchenko, D., Alevras, P., Zhou, S., Wang, J., Grzegorz Litak, A., Gaidai, O., & Ye, R. (2021) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2020.107558 · Cited by 33

Vibration suppression of nonlinear laminated composite plates using internal oscillator-enhanced nonlinear energy sinks

Zhang, W., Zhang, W., Yang, D.-S., Luo, Z., & Guo, X. (2023) · Engineering Structures · doi:10.1016/j.engstruct.2022.115579 · 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

Capture into slow-invariant-manifold in the fluid–structure dynamics of a sprung cylinder with a nonlinear rotator

Blanchard, A. B., Gendelman, O. V., Bergman, L. A., & Vakakis, A. F. (2016) · Journal of Fluids and Structures · doi:10.1016/j.jfluidstructs.2016.03.009 · Cited by 32

Maps unlock the full dynamics of targeted energy transfer via a vibro-impact nonlinear energy sink

Liu, R., Kuske, R., & Yurchenko, D. (2023) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2023.110158 · Cited by 32

Mode coupling instability mitigation in friction systems by means of nonlinear energy sinks: Numerical highlighting and local stability analysis

Bergeot, B., Berger, S., & Bellizzi, S. (2017) · Journal of Vibration and Control · doi:10.1177/1077546317707101 · Cited by 32

A complete set of design rules for a vibro-impact NES based on a multiple scales approximation of a nonlinear mode

Youssef, B., & Leine, R. I. (2021) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2021.116043 · Cited by 32

Characteristic nonlinear system identification of local attachments with clearance nonlinearities

Singh, A., & Moore, K. J. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-06004-8 · Cited by 31

Finite contact duration modeling of a Vibro-Impact Nonlinear Energy Sink to protect a civil engineering frame structure against seismic events

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

Experimental Inter-Modal Targeted Energy Transfer in a cantilever beam undergoing Vibro-impacts

Tempelman, J. R., Mojahed, A., Gzal, M., Matlack, K. H., Gendelman, O., Bergman, L. A., & Vakakis, A. F. (2022) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2022.117212 · Cited by 31

Bifurcations of attractors in forced system with nonlinear energy sink: the effect of mass asymmetry

Starosvetsky, Y., & Gendelman, O. (2009) · Nonlinear Dynamics · doi:10.1007/s11071-009-9572-2 · Cited by 31

Transonic Aeroelastic Instability Suppression for a Swept Wing by Targeted Energy Transfer

Hubbard, S. A., Fontenot, R. L., McFarland, D. M., Cizmas, P. G. A., Bergman, L. A., Strganac, T., & Vakakis, A. F. (2014) · Journal of Aircraft · doi:10.2514/1.c032339 · Cited by 30

Nonreciprocal acoustics and dynamics in the in-plane oscillations of a geometrically nonlinear lattice

Zhang, Z., Koroleva, I. P., Manevitch, L. I., Bergman, L. A., & Vakakis, A. F. (2016) · Physical review. E · doi:10.1103/physreve.94.032214 · Cited by 30

Extreme intermodal energy transfers through vibro-impacts for highly effective and rapid blast mitigation

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

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

Nonlinear Dynamical Behavior of the Deep White Matter during Head Impact

Abderezaei, J., Zhao, W., Grijalva, C. L., Fabris, G., Ji, S., Laksari, K., & Kurt, M. (2019) · Physical Review Applied · doi:10.1103/physrevapplied.12.014058 · Cited by 29

Two-dimensional inerter-enhanced nonlinear energy sink

Yang, T., Dang, W., & Chen, L. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-023-09056-8 · Cited by 29

Control of primary and subharmonic resonances of a Duffing oscillator via non-linear energy sink

Zulli, D., & Luongo, A. (2015) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2015.08.014 · Cited by 29

On the use of the multiple scale method in solving ‘difficult’ bifurcation problems

Luongo, A. (2015) · Mathematics and Mechanics of Solids · doi:10.1177/1081286515616053 · Cited by 29

Stochastic Optimization of Nonlinear Energy Sinks for the Mitigation of Limit Cycle Oscillations

Pidaparthi, B., & Missoum, S. (2019) · AIAA Journal · doi:10.2514/1.j057897 · Cited by 29

A piezoelectric nonlinear energy sink shunt for vibration damping

Dekemele, K., Giraud-Audine, C., & Thomas, O. (2024) · Mechanical systems and signal processing · doi:10.1016/j.ymssp.2024.111615 · Cited by 28

Effectiveness of vibro-impact nonlinear energy sinks for vibration suppression of beams under traveling loads

Li, H., Li, S., Zhang, Z., Xiong, H., & Ding, Q. (2024) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2024.111861 · Cited by 28

Closed-form solutions for oscillators with inelastic impacts

Pilipchuk, V. N. (2015) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2015.08.023 · Cited by 28

Dynamical behavior of a mechanical system including Saint-Venant component coupled to a non-linear energy sink

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

Energy harvesting in a nonlinear energy sink absorber using delayed resonators

Karama, M., Hamdi, M., & Habbad, M. (2021) · Nonlinear Dynamics · doi:10.1007/s11071-021-06611-z · Cited by 28

On the motion of a triple pendulum system under the influence of excitation force and torque

Amer, T. S., Galal, A. A., & Abolila, A. F. (2021) · Kuwait Journal of Science · doi:10.48129/kjs.v48i4.9915 · Cited by 28

Tuning methods for tuned inerter dampers coupled to nonlinear primary systems

Shi, B., Yang, J. M., & Jiang, J. Z. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-021-07112-9 · Cited by 28

A novel triple-magnet magnetic suspension dynamic vibration absorber

Chen, X., Leng, Y., Sun, F., Su, X., Sun, S., & Xu, J. (2022) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2022.117483 · Cited by 28

Analysis of the transient behavior in a two dof nonlinear system

Savadkoohi, A. T., Manevitch, L. I., & Lamarque, C. (2011) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2011.03.007 · 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

Steady-state regimes prediction of a multi-degree-of-freedom unstable dynamical system coupled to a set of nonlinear energy sinks

Bergeot, B., & Bellizzi, S. (2019) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2019.05.045 · Cited by 28

Experimental characterization of a nonlinear vibration absorber using free vibration

Tang, B., Brennan, M. J., Gatti, G., & Ferguson, N. S. (2016) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2015.12.040 · Cited by 27

Effects of modal energy scattering and friction on the resonance mitigation with an impact absorber

Theurich, T., Groß, J., & Krack, M. (2018) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2018.10.055 · Cited by 27

Experimental assessment of polynomial nonlinear state-space and nonlinear-mode models for near-resonant vibrations

Scheel, M., Kleyman, G., Tatar, A., Brake, M. R. W., Peter, S., Noël, J., Allen, M. S., & Krack, M. (2020) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2020.106796 · Cited by 27

Shock response mitigation of a large-scale structure by modal energy redistribution facilitated by a strongly nonlinear absorber

Li, X., Mojahed, A., Chen, L., Bergman, L. A., & Vakakis, A. F. (2022) · Acta Mechanica Sinica · doi:10.1007/s10409-022-09023-x · Cited by 27

Analytical and experimental investigation on a multiple-mass-element pendulum impact damper for vibration mitigation

Egger, P., & Caracoglia, L. (2015) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2015.05.003 · Cited by 27

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

On the failure of the ‘Similar Piezoelectric Control’ in preventing loss of stability by nonconservative positional forces

D’Annibale, F., Rosi, G., & Luongo, A. (2014) · Zeitschrift für angewandte Mathematik und Physik · doi:10.1007/s00033-014-0477-7 · Cited by 26

Characteristic nonlinear system identification: A data-driven approach for local nonlinear attachments

Moore, K. J. (2019) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2019.05.066 · Cited by 26

A novel modal vibration reduction of a disk-blades of a turbine using nonlinear energy sinks on the disk

Aghayari, J., Bab, S., Safarpour, P., & Rahi, A. (2020) · Mechanism and Machine Theory · doi:10.1016/j.mechmachtheory.2020.104048 · Cited by 26

Nonlinear features and energy transfer in an Acoustic Black Hole beam through intentional electromechanical coupling

Zhang, L., Kerschen, G., & Li, C. (2022) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2022.109244 · Cited by 26

Qualitative analysis of the response regimes and triggering mechanism of bistable NES

Wu, Z.-H., Seguy, S., & Paredes, M. (2021) · Nonlinear dynamics · doi:10.1007/s11071-022-07609-x · Cited by 22

Effect of stochasticity on targeted energy transfer from a linear medium to a strongly nonlinear attachment

Sapsis, T. P., Vakakis, A. F., & Bergman, L. A. (2010) · Probabilistic Engineering Mechanics · doi:10.1016/j.probengmech.2010.11.006 · Cited by 26

Multistable 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

Inerter-based nonlinear energy sink for enhanced vibration reduction in floating wind turbines: Parameter optimization and numerical validation

Zeng, W., Qiao, H., Guo, C., Ren, W., & Du, Y. (2025) · Ocean Engineering · doi:10.1016/j.oceaneng.2024.120273 · Cited by 25

Dynamical behavior of a Bouc–Wen type oscillator coupled to a nonlinear energy sink

Lamarque, C., & Savadkoohi, A. T. (2014) · Meccanica · doi:10.1007/s11012-014-9913-1 · Cited by 25

Nonlinear normal modes, resonances and energy exchange in single-walled carbon nanotubes

Strozzi, M., Смирнов, В. В., Manevitch, L. I., & Pellicanò, F. (2020) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2019.103398 · Cited by 25

Numerical optimization of tuned mass absorbers attached to strongly nonlinear Duffing oscillator

Brzeski, P., Perlikowski, P., & Kapitaniak, T. (2013) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2013.06.001 · Cited by 25

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

Magnetic Nonlinear Energy Sink for Vibration Attenuation of Unbalanced Rotor System

Yao, H., Zheng, D., & Wen, B. (2017) · Shock and Vibration · doi:10.1155/2017/4132607 · Cited by 25

Energy exchange between coupled mechanical oscillators: linear regimes

Zanette, D. H. (2018) · Journal of Physics Communications · doi:10.1088/2399-6528/aadfc6 · Cited by 26

Exploiting Structural Instability to Design Architected Materials Having Essentially Nonlinear Stiffness

Bunyan, J., & Tawfick, S. (2018) · Advanced Engineering Materials · doi:10.1002/adem.201800791 · Cited by 26

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

A wave approach to show the existence of detached resonant curves in the frequency response of a beam with an attached nonlinear energy sink

Chouvion, B. (2018) · Mechanics Research Communications · doi:10.1016/j.mechrescom.2018.11.006 · Cited by 24

Vibration power flow characteristics of the whole-spacecraft with a nonlinear energy sink

Zhang, Y., Zhou, L., Wang, S., Yang, T., & Chen, L. (2019) · Journal of low frequency noise, vibration and active control · doi:10.1177/1461348419829363 · Cited by 24

Passive method for controlling the nonlinear characteristics in a parametrically excited hinged-hinged beam by the addition of a linear spring

Shibata, A., OHISHI, S., & Yabuno, H. (2015) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2015.03.055 · Cited by 24

Snap-through twinkling energy generation through frequency up-conversion

Panigrahi, S. R., Bernard, B. P., Feeny, B. F., Mann, B. P., & Díaz, A. R. (2017) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2017.03.031 · Cited by 24

Direct detection of nonlinear modal interactions from time series measurements

Moore, K. J., Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A., & Vakakis, A. F. (2017) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2017.09.010 · Cited by 24

On vibration transmission between interactive oscillators with nonlinear coupling interface

Yang, J. M., Shi, B., & Rudd, C. D. (2018) · International Journal of Mechanical Sciences · doi:10.1016/j.ijmecsci.2018.01.014 · Cited by 24

Shunt loudspeaker using nonlinear energy sink

Bitar, D., Gourdon, E., Lamarque, C., & Collet, M. (2019) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2019.05.021 · Cited by 24

Influence of geometric nonlinearity of rectangular plate on vibration reduction performance of nonlinear energy sink

Zhang, W.-X., & Chen, J.-E. (2020) · Journal of Mechanical Science and Technology · doi:10.1007/s12206-020-0704-4 · Cited by 20

Transient response of a nonlinear energy sink based piezoelectric vibration energy harvester coupled to a synchronized charge extraction interface

Li, Z., Tang, L., Yang, W., Zhao, R., Liu, K., & Mace, B. R. (2021) · Nano Energy · doi:10.1016/j.nanoen.2021.106179 · Cited by 23

Vibration suppression of a linear oscillator by a chain of nonlinear vibration absorbers with geometrically nonlinear damping

Liu, Y., & Wang, Y. (2022) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2022.107016 · Cited by 23

On the functional form of a nonlinear vibration absorber

Viguié, R., & Kerschen, G. (2010) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2010.07.004 · Cited by 23

On the efficacy of friction damping in the presence of nonlinear modal interactions

Krack, M., Bergman, L. A., & Vakakis, A. F. (2016) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2016.01.039 · Cited by 22

Flow-induced vibration attenuation of a viscoelastic pipe conveying fluid under sinusoidal flow using a nonlinear absorber

Huang, Q.-X., Lin, T., & Safarpour, M. (2020) · Mechanics Based Design of Structures and Machines · doi:10.1080/15397734.2020.1760881 · Cited by 23

Tracking modal interactions in nonlinear energy sink dynamics via high-dimensional invariant manifold

Habib, G., & Romeo, F. (2020) · Nonlinear Dynamics · doi:10.1007/s11071-020-05937-4 · Cited by 22

Nonlinear vibration mitigation of a flexible rotor shaft carrying a longitudinally dispositioned unbalanced rigid disc

Taghipour, J., Dardel, M., & Pashaei, M. H. (2021) · Nonlinear Dynamics · doi:10.1007/s11071-021-06428-w · Cited by 22

Quasi-periodic oscillation characteristics of a nonlinear energy sink system under harmonic excitation

Wu, T. M., Huang, J. L., & Zhu, W. D. (2023) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2023.118143 · Cited by 22

Relaxation oscillations, subharmonic orbits and chaos in the dynamics of a linear lattice with a local essentially nonlinear attachment

Vakakis, A. F. (2010) · Nonlinear Dynamics · doi:10.1007/s11071-010-9661-2 · Cited by 22

Trapping vibratory energy of main linear structures by coupling light systems with geometrical and material non-linearities

Savadkoohi, A. T., Lamarque, C., & Contessa, M. V. (2015) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2015.11.011 · Cited by 22

Mechanism of Optimal Targeted Energy Transfer

Wei, Y., Peng, Z., Dong, X., Zhang, W. M., & Meng, G. (2016) · Journal of Applied Mechanics · doi:10.1115/1.4034929 · Cited by 22

Force appropriation of nonlinear structures

Renson, L., Hill, T. L., Ehrhardt, D. A., Barton, D. A. W., & Neild, S. A. (2018) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2017.0880 · Cited by 22

Enhanced Targeted Energy Transfer by Vibro Impact Cubic Nonlinear Energy Sink

Wei, Y., Dong, X., Guo, P. F., Peng, Z., & Zhang, W. M. (2018) · International Journal of Applied Mechanics · doi:10.1142/s1758825118500618 · Cited by 22

Multifaceted vibration absorption of a rotating magnetic nonlinear energy sink

Treacy, C., Stein, D. L., & Chelidze, D. (2024) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2024.112122 · Cited by 21

Energy harvesting and passive mitigation from flutter via rotary nonlinear energy sink

Araujo, G., da Silva, J. A. I., & Marques, F. D. (2025) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2025.118953 · Cited by 21

Nonlinear dynamic characteristics of a bistable track nonlinear energy sink with nonlinear damping

Chen, P., Yang, J.-H., Lv, N., & Yang, X.-D. (2025) · Nonlinear Dynamics · doi:10.1007/s11071-025-10963-1 · Cited by 21

Responses of a two degree-of-freedom system coupled to a nonlinear damper under multi-forcing frequencies

Bellizzi, S., Côté, R., & Pachebat, M. (2013) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2012.11.014 · Cited by 21

Targeted energy transfer efficiency in a low-dimensional mechanical system with an essentially nonlinear attachment

Lin, D. C., & Oguamanam, D. C. D. (2015) · Nonlinear Dynamics · doi:10.1007/s11071-015-2211-1 · Cited by 21

Roles of the Excitation in Harvesting Energy from Vibrations

Zhang, H., & Ma, T. (2015) · PLoS ONE · doi:10.1371/journal.pone.0141299 · Cited by 21

Classical analog of quasilinear Landau-Zener tunneling

Kovaleva, A., & Manevitch, L. I. (2012) · Physical Review E · doi:10.1103/physreve.85.016202 · Cited by 21

Stochastic energy absorbers based on analogies with soft-wall billiards

Pilipchuk, V. N. (2019) · Nonlinear Dynamics · doi:10.1007/s11071-019-05109-z · Cited by 21

Dynamic behavior analysis of a mechanical system with two unstable modes coupled to a single nonlinear energy sink

Bergeot, B., Bellizzi, S., & Berger, S. (2020) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2020.105623 · Cited by 21

A high-efficient nonlinear energy sink with a one-way energy converter

Dang, W., Wang, Z., Chen, L., & Yang, T. (2022) · Nonlinear Dynamics · doi:10.1007/s11071-022-07575-4 · Cited by 21

Passive vibration reduction performance of a triple-magnet magnetic suspension dynamic vibration absorber under sinusoidal excitation

Chen, X., Leng, Y., Sun, F., Su, X., Sun, S., & Xu, J. (2023) · Acta Mechanica Sinica · doi:10.1007/s10409-022-22286-x · Cited by 21

Dynamics of soliton resonances and soliton moleculesfor the AB system in two-layer fluids

Ma, Y., & Li, B. (2023) · Nonlinear Dynamics · doi:10.1007/s11071-023-08529-0 · Cited by 21

Amplitudes Decay in Different Kinds of Nonlinear Oscillators

AL-Shudeifat, M. A. (2014) · Journal of vibration and acoustics · doi:10.1115/1.4029288 · Cited by 21

Dynamic analysis of a simply supported beam resting on a nonlinear elastic foundation under compressive axial load using nonlinear normal modes techniques under three-to-one internal resonance condition

Mamandi, A., Kargarnovin, M. H., & Farsi, S. (2012) · Nonlinear Dynamics · doi:10.1007/s11071-012-0520-1 · Cited by 21

Noise- and delay-enhanced stability in a nonlinear isolation system

Yang, T., & Cao, Q. (2019) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2019.01.010 · Cited by 20

Topological mode switching in modulated structures with dynamic encircling of an exceptional point

Geng, L., Zhang, W., Zhang, X., & Zhou, X. (2021) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.2020.0766 · Cited by 20

Predictive design of impact absorbers for mitigating resonances of flexible structures using a semi-analytical approach

Theurich, T., Vakakis, A. F., & Krack, M. (2021) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2021.116527 · Cited by 20

Targeted Energy Transfer From One Acoustical Mode to an Helmholtz Resonator With Nonlinear Behavior

Gourdon, E., Savadkoohi, A. T., & Vargas, V. A. (2018) · Journal of vibration and acoustics · doi:10.1115/1.4039960 · Cited by 20

Wavelet-bounded empirical mode decomposition for vibro-impact analysis

Moore, K., Kurt, M., Eriten, M., McFarland, D., Bergman, L., & Vakakis, A. (2018) · Nonlinear dynamics · doi:10.1007/s11071-018-4276-0

Semi-Active Control of Energy Transfer between Vibration Modes in Mechanical Structures

Ostrowski, M. (2025) · Instytut Podstawowych Problemów Techniki PAN · doi:10.24423/9788365550644

The Dynamics of Broadband Active Vibration Control Systems with Controllable Damping for Machines and Mechanical Structures

Kravchenko, S. V., & Frolov, K. V. (1991) · Springer eBooks · doi:10.1007/978-3-642-84458-4_14 · Cited by 1

Mechanical vibrations active and passive control

Krysiński, T., & Malburet, F. (2007) · Cited by 16

Nonlinear Targeted Energy Transfer and its Application to Vibration Mitigation

Vakakis, A. F. (2010) · Courses and lectures · doi:10.1007/978-3-7091-0205-3_6 · Cited by 1

Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems II

Vakakis, A. F., Gendelman, O. V., Bergman, L. A., McFarland, D. M., Kerschen, G., & Lee, Y. S. (2009) · ORBi (University of Liège) · Cited by 1