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2010

A global-local approach to nonlinear system identification: A review

Lee, Y. S., Vakakis, A. F., McFarland, D. M. & Bergman, L., Nov 1 2010, In : Structural Control and Health Monitoring. 17, 7, p. 742-760 19 p.

Research output: Contribution to journalReview article

Nonlinear systems
Identification (control systems)
Dynamical systems
Time series
Decomposition

Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Computational results

Nucera, F., McFarland, D. M., Bergman, L. & Vakakis, A. F., Jul 19 2010, In : Journal of Sound and Vibration. 329, 15, p. 2973-2994 22 p.

Research output: Contribution to journalArticle

sinks
Energy transfer
energy transfer
shear
broadband

Correspondence between intrinsic mode functions and slow flows

Lee, Y. S., Tsakirtzis, S., Vakakis, A. F., Bergman, L. & McFarland, D. M., Jun 25 2010, Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009. PART A ed. p. 661-670 10 p. (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009; vol. 1, no. PART A).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Intrinsic Mode Function
Time series
Correspondence
Decomposition
Decompose

Energy harvesting from an impulsive load with essential nonlinearities

Triplett, A., Quinn, D. D., Vakakis, A. F. & Bergman, L. A., Jun 25 2010, Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009. PART A ed. p. 421-425 5 p. (Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009; vol. 1, no. PART A).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Energy Harvesting
Energy harvesting
Nonlinearity
Electromechanical coupling
Vibration

Experimental targeted energy transfer to a rotary nonlinear energy sink

Hubbard, S. A., McFarland, D. M., Bergman, L. & Vakakis, A. F., Dec 16 2010, 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2010-3045. (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Energy transfer
Flexible wings
Swept wings
Stiffness
Experiments

Modelling of nonlinear modal interactions in the transient dynamics of an elastic rod with an essentially nonlinear attachment

Tsakirtzis, S., Lee, Y. S., Vakakis, A. F., Bergman, L. A. & McFarland, D. M., Sep 1 2010, In : Communications in Nonlinear Science and Numerical Simulation. 15, 9, p. 2617-2633 17 p.

Research output: Contribution to journalArticle

Elastic Rods
Transient Dynamics
Decomposition
Nonlinear dynamical systems
Reduced Order Model

Nonlinear dynamics of granular chains

Starosvetsky, Y. & Vakakis, A. F., 2010, ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010. Vol. 5. p. 913-918 6 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nonlinear Waves
Traveling Wave
Nonlinear Dynamics
Energy Transfer
Complex Dynamics

Non-linear system identification of the dynamics of aeroelastic instability suppression based on targeted energy transfers

Lee, Y. S., Vakakis, A. F., McFarland, D. M. & Bergman, L. A., Feb 1 2010, In : Aeronautical Journal. 114, 1152, p. 61-62 2 p.

Research output: Contribution to journalArticle

Energy transfer
Nonlinear systems
Identification (control systems)
Time series

Nonlinear targeted energy transfer and its application to vibration mitigation

Vakakis, A. F., Jan 1 2010, CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing, p. 271-300 30 p. (CISM International Centre for Mechanical Sciences, Courses and Lectures; vol. 518).

Research output: Chapter in Book/Report/Conference proceedingChapter

Energy Transfer
Energy transfer
Vibration
Energy
Denote

Preface

Vakakis, A. F., Jan 1 2010, In : CISM International Centre for Mechanical Sciences, Courses and Lectures. 518, p. v-vi

Research output: Contribution to journalEditorial

Relaxation Oscillations
Subharmonics
Chaos theory
Chaos
Orbits

Targeted energy transfer between a model flexible wing and nonlinear energy sink

Hubbard, S. A., McFarland, D. M., Bergman, L. & Vakakis, A. F., Nov 1 2010, In : Journal of Aircraft. 47, 6, p. 1918-1931 14 p.

Research output: Contribution to journalArticle

Flexible wings
Energy transfer
Stiffness
Swept wings
Experiments

Targeted energy transfer to a rotary nonlinear energy sink

Hubbard, S. A., McFarland, D. M., Vakakis, A. F. & Bergman, L. A., Dec 1 2010, ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010. p. 901-911 11 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 5).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Energy Transfer
Energy transfer
Energy
Finite Element Model
Discrete Equations

Time-domain nonlinear system identification method based on empirical slow-flow analysis

Lee, Y. S., Vakakis, A. F., McFarland, D. M. & Bergman, L., Dec 16 2010, 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. 2010-2557. (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nonlinear systems
Identification (control systems)
Decomposition
Nonlinear dynamical systems
Control nonlinearities
traveling waves
Traveling Wave
Nonlinear Waves
Solitary Waves
Traveling Wave Solutions

Tunable, broadband nonlinear nanomechanical resonator

Cho, H., Yu, M. F., Vakakis, A. F., Bergman, L. A. & McFarland, D. M., May 12 2010, In : Nano letters. 10, 5, p. 1793-1798 6 p.

Research output: Contribution to journalArticle

Resonators
resonators
broadband
bandwidth
Bandwidth
2011

A global-local approach to nonlinear system identification

Lee, Y. S., Vakakis, A. F., McFarland, D. M. & Bergman, L., Jun 13 2011, Modal Analysis Topics - Proceedings of the 29th IMAC, a Conference on Structural Dynamics, 2011. p. 513-524 12 p. (Conference Proceedings of the Society for Experimental Mechanics Series; vol. 3).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nonlinear systems
Identification (control systems)
Time series
Dynamical systems
Decomposition

An eccentric rotator as a novel design of a nonlinear energy sink

Gendelman, O. V., Sigalov, G., Mane, M., Bergman, L., Vakakis, A. F. & Manevitch, L. I., Dec 1 2011, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. p. 369-379 11 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 1, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Energy
Energy transfer
Gravitation
Eigenfrequency
Energy Transfer

Application of Targeted Energy Transfer (TET) techniques to the seismic protection of a small scale multistorey eccentric steel structure

Tripepi, C., Nucera, F., Bergman, L. A., McFarland, D. M. & Vakakis, A. F., Dec 1 2011, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. p. 571-578 8 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 1, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Energy Transfer
Steel structures
Energy transfer
Steel
Earthquakes

A time-domain nonlinear system identification method based on multiscale dynamic partitions

Lee, Y. S., Tsakirtzis, S., Vakakis, A. F., Bergman, L. & McFarland, D. M., Aug 1 2011, In : Meccanica. 46, 4, p. 625-649 25 p.

Research output: Contribution to journalArticle

system identification
nonlinear systems
Nonlinear systems
partitions
Identification (control systems)

Characterization of a strongly nonlinear laboratory benchmark system

McFarland, D. M., Vakakis, A. F., Bergman, L. & Copeland, T. J., Jul 19 2011, Dynamics of Civil Structures - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010. p. 1-6 6 p. (Conference Proceedings of the Society for Experimental Mechanics Series; vol. 4).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nonlinear systems
Identification (control systems)
Stiffness
Experiments

Comparing linear and essentially nonlinear vibration-based energy harvesting

Quinn, D. D., Triplett, A. L., Bergman, L. A. & Vakakis, A. F., Jan 1 2011, In : Journal of Vibration and Acoustics, Transactions of the ASME. 133, 1, 011001.

Research output: Contribution to journalArticle

Energy harvesting
Vibrations (mechanical)
vibration
Vibration measurement
oscillators

Construction and use of the frequency-energy plot for a system with two essential nonlinearities

Hubbard, S. A., Vakakis, A. F., Bergman, L. & McFarland, D. M., Dec 1 2011, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. p. 449-456 8 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 1, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Transient analysis
Energy transfer
Nonlinear systems
Nonlinearity
Energy

Current efforts towards a non-linear system identification methodology of broad applicability

Vakakis, A. F., Bergman, L., McFarland, D. M., Lee, Y. S. & Kurt, M., Nov 2011, In : Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 225, 11, p. 2497-2515 19 p.

Research output: Contribution to journalReview article

Nonlinear systems
Identification (control systems)
Modal analysis
Demonstrations
Availability

Damped transition of a strongly nonlinear system of coupled oscillators into a state of continuous resonance scattering

Andersen, D., Wang, X., Starosvetsky, Y., Remick, K., Vakakis, A. F., Mane, M., Hubbard, S. & Bergman, L., Dec 1 2011, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. p. 839-845 7 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 4, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Coupled Oscillators
Damped
Nonlinear systems
Nonlinear Systems
Scattering

Designing a new type of energy trap: A classical analog of quantum Landau-Zener tunneling

Vakakis, A. F., Sigalov, G., Mane, M., Bergman, L., Manevitch, L. I. & Kosevich, Y. A., Dec 1 2011, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. p. 361-367 7 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 1, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Pendulum
Pendulums
Trap
Subsystem
Energy Transfer

Dynamics of a system of coupled oscillators with geometrically nonlinear damping

Andersen, D. K., Vakakis, A. F. & Bergman, L., Aug 15 2011, Nonlinear Modeling and Applications - Proceedings of the 28th IMAC, A Conference on Structural Dynamics, 2010. p. 1-7 7 p. (Conference Proceedings of the Society for Experimental Mechanics Series; vol. 2).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Damping
Stiffness

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

Sapsis, T. P., Vakakis, A. F. & Bergman, L., Apr 1 2011, In : Probabilistic Engineering Mechanics. 26, 2, p. 119-133 15 p.

Research output: Contribution to journalArticle

Energy transfer
attachment
energy transfer
linear systems
Green's function

Efficient energy transfer and redirection in weakly interacting granular lens

Starosvetsky, Y., Hasan, M. A. & Vakakis, A. F., Dec 1 2011, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. p. 689-694 6 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 4, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Energy Transfer
Shock waves
Energy transfer
Lens
Lenses

Energy harvesting from impulsive loads using intentional essential nonlinearities

Quinn, D. D., Triplett, A. L., Vakakis, A. F. & Bergman, L., Feb 9 2011, In : Journal of Vibration and Acoustics, Transactions of the ASME. 133, 1, 011004.

Research output: Contribution to journalArticle

Energy harvesting
nonlinearity
nonlinear systems
Electromechanical coupling
intervals

Enhanced passive targeted energy transfer in strongly nonlinear mechanical oscillators

Gendelman, O. V., Sapsis, T., Vakakis, A. F. & Bergman, L., Jan 3 2011, In : Journal of Sound and Vibration. 330, 1, p. 1-8 8 p.

Research output: Contribution to journalArticle

Oscillators (mechanical)
mechanical oscillators
Energy transfer
energy transfer
sinks

Identification of equivalent modal damping and frequencies in multi degree-of-freedom nonlinear systems

Quinn, D. D., Ott, R. J., Hubbard, S., McFarland, D. M., Bergman, L. & Vakakis, A. F., Dec 1 2011, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. p. 467-474 8 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 1, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Degrees of freedom (mechanics)
Nonlinear systems
Damping
Nonlinear Systems
Degree of freedom

New family of solitary waves in granular dimer chains with no precompression

Jayaprakash, K. R., Starosvetsky, Y. & Vakakis, A. F., Mar 21 2011, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 83, 3, 036606.

Research output: Contribution to journalArticle

Dimer
Solitary Waves
beads
solitary waves
dimers

Nonlinear normal modes and band zones in granular chains with no pre-compression

Jayaprakash, K. R., Starosvetsky, Y., Vakakis, A. F., Peeters, M. & Kerschen, G., Feb 1 2011, In : Nonlinear Dynamics. 63, 3, p. 359-385 27 p.

Research output: Contribution to journalArticle

Normal Modes
Compression
Granular Media
Dynamical systems
Disorder

Nonlinear system identification of vibro-impact nonsmooth dynamical systems

Lee, Y. S., Chen, H., Vakakis, A. F., McFarland, D. M. & Bergman, L., Dec 1 2011, 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. AIAA 2011-2067. (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nonlinear systems
Identification (control systems)
Dynamical systems

Primary wave transmission in systems of elastic rods with granular interfaces

Starosvetsky, Y. & Vakakis, A. F., Nov 2011, In : Wave Motion. 48, 7, p. 568-585 18 p.

Research output: Contribution to journalArticle

rods
beads
pulses
shock
excitation

Resonance and anti-resonance phenomenon in granular dimer chains with no pre-compression

Jayaprakash, K. R., Starosvetsky, Y. & Vakakis, A. F., Dec 1 2011, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011. PARTS A AND B ed. p. 695-702 8 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 4, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Dimer
Solitons
Dimers
Solitary Waves
Compression

Stability enhancement of a transonic wing using a simple passive attachment

Hubbard, S., Mcfarland, D. M., Vakakis, A. F., Bergman, L., Fontenot, R. L., Brown, R. L., Cizmas, P. G. A. & Strganac, T. W., Dec 1 2011, AIAA Atmospheric Flight Mechanics Conference 2011. (AIAA Atmospheric Flight Mechanics Conference 2011).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Aerodynamics

Subharmonic orbits of a strongly nonlinear oscillator forced by closely spaced harmonics

Sapsis, T. P. & Vakakis, A. F., Jan 1 2011, In : Journal of Computational and Nonlinear Dynamics. 6, 1, 011014.

Research output: Contribution to journalArticle

Subharmonics
Nonlinear Oscillator
Orbits
Harmonic
Orbit

System identification of strongly nonlinear dynamics

Vakakis, A. F., Bergman, L. A., McFarland, D. M., Lee, Y. S. & Kurt, M., Jan 1 2011, Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011. Lombaert, G., Muller, G., De Roeck, G. & Degrande, G. (eds.). University of Southampton, Institute of Sound Vibration and Research, p. 2342-2346 5 p. (Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nonlinear systems
Identification (control systems)
Decomposition
Processing

Towards a new type of energy trap: Classical analog of quantum Landau-Zener tunneling

Manevitch, L. I., Kosevich, Y. A., Mane, M., Sigalov, G., Bergman, L. & Vakakis, A. F., Jan 1 2011, In : International Journal of Non-Linear Mechanics. 46, 1, p. 247-252 6 p.

Research output: Contribution to journalArticle

Pendulum
Pendulums
Trap
Analogue
Analogy
2012

Alternation of regular and chaotic dynamics in a simple two-degree-of-freedom system with nonlinear inertial coupling

Sigalov, G. G., Gendelman, O. V., AL-Shudeifat, M. A., Manevitch, L. I., Vakakis, A. F. & Bergman, L., Jan 3 2012, In : Chaos. 22, 1, 013118.

Research output: Contribution to journalArticle

Alternation
alternations
Degrees of freedom (mechanics)
Chaotic Dynamics
Hamiltonians

A nonlinear system for harvesting energy from sustained low-level vibration

Remick, K., Triplett, A., Quinn, D. D., McFarland, D. M., Vakakis, A. & Bergman, L., Dec 1 2012, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B ed. p. 1279-1283 5 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 1, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Energy Harvesting
Energy harvesting
Vibrations (mechanical)
Nonlinear systems
Nonlinear Systems

Characterization of a strongly nonlinear vibration absorber for aerospace applications

Hubbard, S. A., Copeland, T. J., McFarland, D. M., Bergman, L. & Vakakis, A. F., Jun 6 2012, Topics in Nonlinear Dynamics - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012. p. 199-207 9 p. (Conference Proceedings of the Society for Experimental Mechanics Series; vol. 3).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Aerospace applications
Transient analysis
Damping
Stiffness
Wavelet transforms

Dynamic behavior analysis of vehicle shimmy system with consideration of clearance in steering linkage mechanism

Lu, J. W., Xin, J. Y., Lee, J., Vakakis, A. F. & Bergman, L., Dec 1 2012, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B ed. p. 471-478 8 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 1, no. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Clearance
Linkage
Dynamic Behavior
Tie
Dynamics (theory)

Dynamic instabilities in coupled oscillators induced by geometrically nonlinear damping

Andersen, D., Starosvetsky, Y., Vakakis, A. F. & Bergman, L., Jan 1 2012, In : Nonlinear Dynamics. 67, 1, p. 807-827 21 p.

Research output: Contribution to journalArticle

Nonlinear Damping
Coupled Oscillators
Damping
Bifurcation
Vibration Suppression

Dynamics of an eccentric rotational nonlinear energy sink

Gendelman, O. V., Sigalov, G., Manevitch, L. I., Mane, M., Vakakis, A. F. & Bergman, L., Jan 1 2012, In : Journal of Applied Mechanics, Transactions ASME. 79, 1, 011012.

Research output: Contribution to journalArticle

eccentrics
sinks
Energy transfer
energy transfer
energy

Dynamics of microcantilever integrated with geometric nonlinearity for stable and broadband nonlinear atomic force microscopy

Cho, H., Yu, M. F., Vakakis, A. F., Bergman, L. A. & McFarland, D. M., Sep 1 2012, In : Surface Science. 606, 17-18, p. L74-L78

Research output: Contribution to journalArticle

Atomic force microscopy
nonlinearity
atomic force microscopy
broadband
Spectrum analysis

Effective particles and classification of the dynamics of homogeneous granular chains with no precompression

Starosvetsky, Y., Jayaprakash, K. R., Vakakis, A. F., Kerschen, G. & Manevitch, L. I., Mar 28 2012, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 85, 3, 036606.

Research output: Contribution to journalArticle

Periodic Orbits
Layered Media
Predict
Granular Media
Nonlinear Interaction

Effective stiffening and damping enhancement of structures with strongly nonlinear local attachments

Sapsis, T. P., Quinn, D. D., Vakakis, A. F. & Bergman, L. A., Jan 18 2012, In : Journal of Vibration and Acoustics, Transactions of the ASME. 134, 1, 011016.

Research output: Contribution to journalArticle

stiffening
attachment
Damping
damping
augmentation