Nonlinear Targeted Energy Transfer in Mechanical and Structural Systems

Nonlinear Energy Channeling in the 2D, Locally Resonant, Systems

Manevitch, L. I., Kovaleva, A., Смирнов, В. В., & Starosvetsky, Y. (2017) · Foundations of engineering mechanics · doi:10.1007/978-981-10-4666-7_10 · Cited by 1

Analysis of the Beating States in the System of Nonlinearly Coupled Parametrically Forced Oscillators

Kislovsky, V., & Starosvetsky, Y. (2018) · Advanced structured materials · doi:10.1007/978-3-319-92234-8_2 · Cited by 1

Beats in the system of three non-linear oscillators and their quantum analog

Kovaleva, M. A., Kosevich, Y. A., Смирнов, В. В., & Manevitch, L. I. (2019) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2019.02.013 · Cited by 1

Targeted Nonlinear Energy Transfer for Electroacoustic Absorbers

Bitar, D., Savadkoohi, A. T., Lamarque, C., Gourdon, E., & Collet, M. (2019) · IUTAM bookseries · doi:10.1007/978-3-030-23692-2_7 · Cited by 1

Self-sustained vibrations in the system of a bi-harmonically driven pendulum

Shaginyan, S. A., Manevitch, L. I., & Kovaleva, M. A. (2022) · Physics Letters A · doi:10.1016/j.physleta.2022.127943 · Cited by 1

Reduction of torsional vibrations of drivetrains of machines and plants using impulsive torques and characterization of related energy transfer effects

Pumhössel, T. (2022) · Forschung im Ingenieurwesen · doi:10.1007/s10010-022-00582-2 · Cited by 1

Exposing Undergraduate Engineering Students to Nonlinear Differential Equations Using a Practical Approach in Project-based Learning Environments

Bischof, G., Brauchart, M., Jenni, P., Pirker, J., Sachslehner, J., Steinmann, C., & Zörweg, T. (2020) · ASEE Annual Conference & Exposition · doi:10.18260/1-2--34652 · Cited by 1

Nonlinear Targeted Energy Transfer and Macroscopic Analogue of the Quantum Landau-Zener Effect in Coupled Granular Chains

Manevitch, L. I., Kovaleva, A., Смирнов, В. В., & Starosvetsky, Y. (2017) · Foundations of engineering mechanics · doi:10.1007/978-981-10-4666-7_11 · Cited by 1

Energy Dissipation

Cimellaro, G. P., & Marasco, S. (2018) · Geotechnical, geological and earthquake engineering · doi:10.1007/978-3-319-72541-3_5 · Cited by 1

Nonlinear Energy Sink and Targeted Energy Transfer in Smart Structures

Dekemele, K., Torre, P. V., & Loccufier, M. (2022) · doi:10.1115/detc2022-89608 · Cited by 1

Locating nonlinearities in mechanical systems: A frequency-domain dynamic network perspective

Classens, K., Schoukens, M., Oomen, T., & Noël, J. (2024) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2024.112124 · Cited by 1

Investigation of vibration suppression by nonlinear energy sink (NES) based on structure–wake oscillator coupled model

Huang, Z.-H., Wang, J., Zhang, D., & Wang, X. (2025) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2025.105219 · Cited by 1

Localization of Vibratory Energy of Main Linear/Nonlinear Structural Systems by Nonlinear Energy Sink

Lamarque, C., & Savadkoohi, A. T. (2015) · Springer proceedings in physics · doi:10.1007/978-3-319-19851-4_11 · Cited by 1

On the Use of the Multiple Scale Harmonic Balance Method for Nonlinear Energy Sinks Controlled Systems

Luongo, A., & Zulli, D. (2015) · Springer proceedings in physics · doi:10.1007/978-3-319-19851-4_12 · Cited by 1

Nonlinear Normal Modes of a Continuous Cantilever Beam with Nonlinear Energy Sink Absorber

Chen, Y., & Xu, Y. (2013) · Applied Mechanics and Materials · doi:10.4028/www.scientific.net/amm.325-326.214 · Cited by 1

Excitation and Control of Autoresonance in an Oscillator Chain

Kovaleva, A. (2015) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2015.09.330 · Cited by 1

Simplified design of nonlinear energy sinks for MDOF structures excited by white noise base excitations

Oliva, M., Barone, G., Iacono, F. L., & Navarra, G. (2017) · Loughborough University Institutional Repository (Loughborough University) · Cited by 1

Passive Control of Differential Algebraic Inclusions - General Method and a Simple Example

Lamarque, C., & Savadkoohi, A. T. (2018) · Springer eBooks · doi:10.1007/978-3-319-75972-2_7 · Cited by 1

Efficiency of a Three-Particle Energy Sink: Experimental Study and Numerical Simulation

КЕВОРКОВ, С. С., Khamidullin, R. K., Koroleva, I. P., Смирнов, В. В., Gusarova, E. B., & Manevich, L. I. (2018) · Nelineinaya Dinamika · doi:10.20537/nd180306 · Cited by 1

Energy Transport and Localization in Weakly Dissipative Resonant Chains

Kovaleva, A. (2019) · IUTAM bookseries · doi:10.1007/978-3-030-23692-2_17 · Cited by 1

Forced Oscillations of the Discrete Membrane Under Conditions of “Sonic Vacuum”

КЕВОРКОВ, С. С., Koroleva, I. P., Смирнов, В. В., & Manevitch, L. I. (2020) · Journal of Applied Mechanics · doi:10.1115/1.4047812 · Cited by 1

Energy flow and dissipation in heterogeneous ensembles of coupled phase oscillators

Sosa, R. I., & Zanette, D. H. (2022) · The European Physical Journal Special Topics · doi:10.1140/epjs/s11734-021-00403-7 · Cited by 1

On the Vibration Attenuation Properties of Metamaterial Design Using Negative Stiffness Elements

Chondrogiannis, K. A., Dertimanis, V. K., Jeremić, B., & Chatzi, E. (2021) · NODYCON conference proceedings series · doi:10.1007/978-3-030-81170-9_37 · Cited by 1

Introduction

Esmailzadeh, E., Younesian, D., & Askari, H. (2018) · Solid mechanics and its applications · doi:10.1007/978-94-024-1542-1_1 · Cited by 1

Vibration Power Dissipation in a Spring-Damper-Mass System Excited by Dry Friction

Chao, C., Shi, B., Yang, J. M., & Wiercigroch, M. (2022) · Mechanisms and machine science · doi:10.1007/978-3-031-15758-5_99 · Cited by 1

REGULAR AND COMPLEX BEHAVIOR OF A PENDULUM SYSTEM IN A MAGNETIC FIELD

Surhanova, Y. E., & Mikhlin, Y. V. (2023) · Mechanics And Mathematical Method · doi:10.31650/2618-0650-2023-5-1-44-60 · Cited by 1

Targeted Energy Transfer in Systems with Periodic Excitations

Gendelman, O., & Starosvetsky, Y. (2010) · Courses and lectures · doi:10.1007/978-3-7091-0205-3_2 · Cited by 1

Application of the method of multiple scales to unravel energy exchange in nonlinear locally resonant metamaterialsPreprint

Silva, P. B., Leamy, M. J., Geers, M. G. D., & Kouznetsova, V. G. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1812.05713 · Cited by 1

Escape Dynamics of a Particle From a Purely-nonlinear Truncated Quartic Potential Well Under Harmonic ExcitationPreprint

Farid, M. (2021) · Research Square · doi:10.21203/rs.3.rs-540358/v1 · Cited by 1

Wind tunnel demonstration of galloping mitigation with a purely nonlinear energy sinkPreprint

Selwanis, M. M., Franzini, G. R., Béguin, C., & Gosselin, F. P. (2020) · doi:10.31224/osf.io/mtqkh · Cited by 1

Nonsmooth Processes as Asymptotic Limits

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_3 · Cited by 1

Amortissement par le branchement des structures flexibles : une approche bio-inspirée des arbres

Théckès, B. (2012) · HAL · Cited by 1

Nonlinear energy harvesting through a multimodal electro-mechanical system

Mohammadpour, M., Dardel, M., Ghasemi, M. H., & Pashaei, M. H. (2015) · DOAJ (DOAJ: Directory of Open Access Journals) · doi:10.22064/tava.2015.13602

Single-degree-of-freedom energy harvesters by stochastic excitation

Joo, H. K. (2014) · DSpace@MIT (Massachusetts Institute of Technology)

Modeling and frequency domain analysis of nonlinear compliant joints for a passive dynamic swimmerPreprint

Carbajal, J. P., Bayma, R. S., Ziégler, M., & Lang, Z. (2011) · arXiv (Cornell University) · doi:10.48550/arxiv.1108.3206 · Cited by 3

Parameter estimation and structural model updating using modal methods in the presence of nonlinearity

Golinval, J. (2009) · Open Repository and Bibliography (University of Liège)

Magneto-mechanical actuation model for fin-based locomotion

Carbajal, J. P., & Kuppuswamy, N. S. (2013) · International Journal of Design & Nature and Ecodynamics · doi:10.2495/dne-v8-n3-246-255

Smooth Decomposition Analysis and Order Reduction of Nonlinear Mechanical Systems Under Random Excitation

Bellizzi, S., & Sampaio, R. (2012) · doi:10.1115/imece2012-87496

Analysis of a passive control of a chain under wide-band random excitation by nonlinear energy sinks using generalized orthogonal decompositions

Bellizzi, S., & Sampaio, R. (2012) · MATEC Web of Conferences · doi:10.1051/matecconf/20120105001

A Fractional Calculus for Nonlinear Energy Sink Used in Vibration Absorption System

Song, L., Fang, B., Yang, T., & Huang, W. (2011) · Noise & Vibration Worldwide · doi:10.1260/0957-4565.42.10.62

ENERGY TRANSFER IN NONLINEAR MECHANICAL OSCILLATORS: AN ANALYTICAL STUDY OF THE CONTINUATION OF THE PERIODIC ORBITS OF THE UNDERLYING HAMILTONIAN SYSTEM

Maaita, J.-O., & Meletlidou, E. (2009)

Performance Barriers for Single-Degree-of-Freedom Energy Harvesters Under Generic Stochastic Excitation

Joo, H. K., & Sapsis, T. P. (2014) · doi:10.1115/detc2014-34134

TARGETED ENERGY TRANSFER IN GENERAL LINEAR WAVEGUIDES: A UNIFIED INTEGRO-DIFFERENTIAL EQUATION FORMULATION WITH APPLICATIONS

Sapsis, T. P., & Vakakis, A. F. (2009)

Relaxation Oscillations and chaotic motion in a system of nonlinear coupled oscillators

Maaita, J.-O., Meletlidou, E., & Alexander, V. (2011)

The nonlinear tuned vibration absorber, part II: Robustness and sensitivity analysis

Detroux, T., Habib, G., Masset, L., & Kerschen, G. (2014) · ORBi (University of Liège)

Conception d'un amortisseur de vibrations magnétique à raideurs ajustables

Benacchio, S., Malher, A., Boisson, J., Touzé, C., Monchaux, R., & Doaré, O. (2015) · HAL

Stochastic energy sink in a low-dimensional Hamiltonian systemPreprint

Pilipchuk, V. N. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1610.02939

Oscillatory chain with elastic supports and bending stiffness under conditions close to acoustic vacuum

наук, И. Х. Ф. И. Н. Н. С. Р. А., Koroleva, I. P., Manevich, L. I., & наук, И. Х. Ф. И. Н. Н. С. Р. А. (2016) · Nelineinaya Dinamika · doi:10.20537/nd1603002

A New Framework for Model Reduction of Complex Nonlinear Dynamical Systems

Ilbeigi, S. (2017) · doi:10.23860/diss-ilbeigi-shahab-2017

Magneto-mechanical actuation model for fin-based locomotion

Carbajal, J. P., & Kuppuswamy, N. S. (2010) · WIT transactions on ecology and the environment · doi:10.2495/dn100331

Normal Modes of Chaotic Vibrations and Transient Normal Modes in Nonlinear Systems

Mikhlin, Y. V., Plaksiy, K. Y., Shmatko, T., & Rudneva, G. V. (2018) · Advanced structured materials · doi:10.1007/978-3-319-92234-8_6

Aplicação do Nonlinear Energy Sink (NES) no controle passivo da instabilidade em helicóptero com anisotropia

Sousa, L. V. D. (2018) · doi:10.14393/ufu.di.2018.1159

Energy redistribution using cubic nonlinear energy sink in a large-scale structure

Saeed, A. S., & AL-Shudeifat, M. A. (2019) · AIP conference proceedings · doi:10.1063/1.5114520

Resonance-Induced Energy Localization in Weakly Dissipative Anharmonic Chains

Kovaleva, A. (2020) · Springer eBooks · doi:10.1007/978-3-030-34713-0_28

Application of Nonlinear Energy Sink for Rotor System Vibration Suppression

Hongliang, Y., Cao, Y., Qin, Z., & Bangchun, W. (2020) · Journal of Mechanical Engineering · doi:10.3901/jme.2020.15.191

Frequency Energy Plots of Dynamical Systems Attached to Piecewise Nonlinear Energy SinkPreprint

Shudeifat, M. A. A. A., & Saeed, A. S. (2021) · Research Square · doi:10.21203/rs.3.rs-252523/v1

Global Dynamics and Optimal Design of a New Highly Efficient Nonlinear Energy Sink Based on Magnetic-Elastic Impacts with Negative StiffnessPreprint

Li, S., Wang, T., & Chen, J. (2021) · Research Square · doi:10.21203/rs.3.rs-698793/v1

Effects of piezoelectric based nonlinear energy sink on the aeroelastic behavior of a typical section

Otsubo, G. M. D. F. (2020) · doi:10.11606/d.18.2020.tde-14092020-115737

Innovative Electroacoustic resonator Control enforcing Duffing dynamics at moderate excitation levels: conception and experimental validationPreprint

BONO, E. D., Morell, M., Collet, M., Gourdon, E., Savadkoohi, A. T., & Lamarque, C. (2021) · arXiv (Cornell University) · doi:10.48550/arxiv.2111.12008

A Comparison of the Common Types of Nonlinear Energy Sinks

Saeed, A. S., & AL-Shudeifat, M. A. (2021) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-030-77314-4_8

Research on the mechanism of aeoian vibration suppression and piezoelectric energy capture of transmission line based on nonlinear energy sink

Gao, X., Pei, S., Tao, L., & Fu, J. (2021) · IEEE International Conference on Automation, Electronics and Electrical Engineering (AUTEEE) · doi:10.1109/auteee52864.2021.9668626

A Study on the Coefficient of Restitution Effect on Single-Sided Vibro-Impact Nonlinear Energy Sink

Saeed, A. S., & AL-Shudeifat, M. A. (2021) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-030-77310-6_25

Vibration Control

Harne, R. L., & Wang, K. (2017) · doi:10.1002/9781119128052.ch3

Nonlinear Resonator-Based Metastructures for Vibration Attenuation and Energy Harvesting

Malaji, P. V., Mukhopadhyay, T., & Chappar, S. S. (2021) · NODYCON conference proceedings series · doi:10.1007/978-3-030-81170-9_18

Duffing Oscillators

Manevitch, L. I., Kovaleva, A., Смирнов, В. В., & Starosvetsky, Y. (2017) · Foundations of engineering mechanics · doi:10.1007/978-981-10-4666-7_6

ЛОКАЛІЗОВАНІ ТА НЕЛОКАЛЬНІ ФОРМИ КОЛИВАНЬ ДВОХ ПОВ’ЯЗАНИХ МАЯТНИКІВ

Surhanova, Y. E., Міхлін, Ю. В., & Кирилова, Н. О. (2022) · Проблеми обчислювальної механіки і міцності конструкцій · doi:10.15421/4222109

PERIOD TRIPLING STATES AND NON-MONOTONIC ENERGY DISSIPATION IN COUPLED MEMS RESONATORS

Wang, M., Perez-Morelo, D. J., López, D., & Aksyuk, V. (2022) · Solid-State Sensors, Actuators, and Microsystems Workshop (Hilton Head Workshop) · doi:10.31438/trf.hh2022.8

Smooth Oscillating Processes

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_2

Strongly Nonlinear Waves

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_9

NSTT and Shooting Method for Periodic Motions

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_12

Periodic Power Series

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_5

Strongly Nonlinear Vibrations

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_8

Singular Trajectories of Forced Vibrations

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_11

Spatially Oscillating Structures

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_14

NSTT for Linear and Piecewise-Linear Systems

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_6

Impact Modes and Parameter Variations

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_10

Essentially Non-periodic Processes

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_13

Periodic and Transient Nonlinear Dynamics Under Discontinuous Loading

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_7

Nonsmooth Temporal Transformations (NSTT)

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_4

Introduction

Pilipchuk, V. N. (2023) · Springer eBooks · doi:10.1007/978-3-031-37788-4_1

Influence of Stochastic Load Perturbations on the Performance of a Torsional-Flutter Wind Harvester

Caracoglia, L. (2024) · Lecture notes in civil engineering · doi:10.1007/978-3-031-53059-3_17

Vibrations and energy distribution in inhomogeneous rods with elastic and viscous boundary conditions

Lelkes, J., Bak, B. D., & Kalmár‐Nagy, T. (2024) · Scientific Reports · doi:10.1038/s41598-024-52860-4

Simultaneous Vibration Absorbing and Energy Harvesting Mechanism of the Tri-Magnet Bistable Levitation Structure: Modeling and Simulation

Xu, J., & Leng, Y. (2024) · Lecture notes in electrical engineering · doi:10.1007/978-981-97-0554-2_13

Intermodal Targeted Energy Transfer in Two Dimensions - Part II: Forced ResponsePreprint

Veltman, Y., Gzal, M., & Gendelman, O. (2024) · Research Square · doi:10.21203/rs.3.rs-3933430/v1

Energy Exchanges in a Nonlinear Meta-Cell

Zanin, C. D. S., Savadkoohi, A. T., Baguet, S., & Dufour, R. (2024) · Springer proceedings in mathematics & statistics · doi:10.1007/978-3-031-56492-5_45

A simple mechanical model of turbulence

Семенов, М. Е., Tolkachev, A., & Kanishcheva, O. I. (2024) · Vestnik of Samara University Natural Science Series · doi:10.18287/2541-7525-2024-30-3-63-75

Robustness Analysis of Asymmetric Nonlinear Energy Sink via Nonlinear Normal Modes

Motato, E. (2024) · Journal of vibration and acoustics · doi:10.1115/1.4067249

Enhanced utilization of structural damping of beam-like structures by using state-dependent impulsive moments

Pumhössel, T., & Shamiyeh, P. (2025) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2025.03.034

Discrete Finite Systems

Manevitch, L. I., & Gendelman, O. (2010) · Foundations of engineering mechanics · doi:10.1007/978-3-642-15372-3_2

Multi-Bit Quantum-Inspired Dynamics in Nonlinear Mechanical Oscillators

Mahmood, K. T., Hasan, M. A., Faiaz, A. N.-E., Hasan, M. A., Deymier, P. A., Runge, K., & Levine, J. A. (2026) · Journal of Applied Mechanics · doi:10.1115/1.4071523

Low-energy stochastic vibration attenuation using a softening–fractional nonlinear absorber

Chen, P., Yang, J.-H., Guo, X.-Y., Qian, Y.-J., & Yang, X.-D. (2026) · International Journal of Non-Linear Mechanics · doi:10.1016/j.ijnonlinmec.2026.105432

A hybrid-magnetic bistable nonlinear energy sink for enhanced energy transfer and non-contact stroke regulation

Chen, P., Yang, J.-H., Guo, X.-Y., Qian, Y.-J., & Yang, X.-D. (2026) · Mechanical Systems and Signal Processing · doi:10.1016/j.ymssp.2026.114851

Hybrid Mathematical Modelling and Embedded Learning for Semi-Active Friction Damping in Non-Smooth Vibration Control

Mosekari, S. (2026) · Journal of Vibration Engineering & Technologies · doi:10.1007/s42417-026-02703-5

Beat Synchronization in Bistable Model of Coupled Parametric Oscillators

Cohen, A., Starosvetsky, Y., & Gendelman, O. (2026) · Advanced structured materials · doi:10.1007/978-3-032-23215-1_12

Investigation of the effect of local and accumulated fatigue damage on the nonlinear resonant and dissipative characteristics of a composite propeller blade of an aircraft gas-turbine engine

Пальчиковський, В. О., Деркач, О. Л., Morozov, A. V., & Torba, Y. I. (2026) · Strength of Materials · doi:10.1007/s11223-026-00969-4

Beyond essentially nonlinear springs: design and evaluation of multi-stable nonlinear energy sinks

Li, H., Ramnarace, S., Liu, K., & Long, H. (2026) · Nonlinear Dynamics · doi:10.1007/s11071-026-13114-2

A CLASSICAL ANALOG OF LANDAU-ZENER TUNNELING AS A NEW TYPE OF THE MECHANICAL ENERGY TRAP

Kovaleva, A., Manevitch, L. I., & Kosevich, Y. A. (2011)

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