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2016

Shock Mitigation by Means of Low- to High-Frequency Nonlinear Targeted Energy Transfers in a Large-Scale Structure

AL-Shudeifat, M. A., Vakakis, A. F. & Bergman, L. A., Mar 1 2016, In : Journal of Computational and Nonlinear Dynamics. 11, 2, 021006.

Research output: Contribution to journalArticle

Large-scale Structure
Energy Transfer
Energy transfer
Shock
Damping
2017

Some recently obtained results in classical vibration and acoustics: Coexistence of traveling and standing waves in a one-dimensional non-dispersive continuum

Blanchard, A., Xiao, Y., McFarland, D. M., Vakakis, A. F. & Bergman, L. A., Jan 1 2017, A Tribute Conference Honoring Daniel Inman. Tarazaga, P. A. & Leo, D. J. (eds.). SPIE, 1017203. (Proceedings of SPIE - The International Society for Optical Engineering; vol. 10172).

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

Damper
Standing Wave
standing waves
Coexistence
traveling waves

Separation of traveling and standing waves in a finite dispersive string with partial or continuous viscoelastic foundation

Cheng, X., Blanchard, A., Tan, C. A., Lu, H., Bergman, L. A., McFarland, D. M. & Vakakis, A. F., Dec 22 2017, In : Journal of Sound and Vibration. 411, p. 193-209 17 p.

Research output: Contribution to journalArticle

standing waves
traveling waves
strings
forced vibration
dampers
2015

Nonlinear mixed solitary - Shear waves and pulse equi-partition in a granular network

Zhang, Y., Hasan, M. A., Starosvetsky, Y., McFarland, D. M. & Vakakis, A. F., Jan 15 2015, In : Physica D: Nonlinear Phenomena. 291, p. 45-61 17 p.

Research output: Contribution to journalArticle

S waves
partitions
pulses
occurrences
equipartition theorem
2019

Vortex-induced vibration of a linearly sprung cylinder with an internal rotational nonlinear energy sink in turbulent flow

Blanchard, A., Bergman, L. A. & Vakakis, A. F., Jan 1 2019, (Accepted/In press) In : Nonlinear Dynamics.

Research output: Contribution to journalArticle

Vortex-induced Vibration
Turbulent Flow
Turbulent flow
Vortex flow
Linearly
2015

Dynamics of a linear oscillator coupled to a bistable light attachment: Numerical study

Romeo, F., Sigalov, G., Bergman, L. & Vakakis, A. F., Jan 1 2015, In : Journal of Computational and Nonlinear Dynamics. 10, 1, 011007.

Research output: Contribution to journalArticle

Coupled Oscillators
Numerical Study
Energy Levels
Electron energy levels
Energy Transfer
2017

On the effect of multiple parallel nonlinear absorbers in palliation of torsional response of automotive drivetrain

Haris, A., Motato, E., Mohammadpour, M., Theodossiades, S., Rahnejat, H., O’ Mahony, M., Vakakis, A. F., Bergman, L. A. & McFarland, D. M., Nov 2017, In : International Journal of Non-Linear Mechanics. 96, p. 22-35 14 p.

Research output: Contribution to journalArticle

Clutches
Absorber
Vibration
Oscillation
Inertia
2018

Multi-frequency Atomic Force Microscopy based on enhanced internal resonance of an inner-paddled cantilever

Potekin, R., Dharmasena, S., Keum, H., Jiang, X., Lee, J., Kim, S., Bergman, L. A., Vakakis, A. F. & Cho, H., Apr 15 2018, In : Sensors and Actuators, A: Physical. 273, p. 206-220 15 p.

Research output: Contribution to journalArticle

Atomic force microscopy
atomic force microscopy
Elastic moduli
Stiffness
Energy transfer
2016

A Research on the Prediction of Door Opening by the Inertia Effect during a Side Impact Crash

Kwak, K., Seo, S., Potekin, R., Blanchard, A., Vakakis, A., McFarland, D. & Bergman, L., Jan 1 2016, In : SAE Technical Papers.

Research output: Contribution to journalConference article

Door handles
Dynamic models
2018

Wavelet-bounded empirical mode decomposition for vibro-impact analysis

Moore, K. J., Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Apr 21 2018, (Accepted/In press) In : Nonlinear Dynamics. p. 1-19 19 p.

Research output: Contribution to journalArticle

Wavelets
Harmonic
Decomposition
Decompose
Higher Order
2017

High-Frequency Dynamic Overshoot in Linear and Nonlinear Periodic Media

Zhang, Y. & Vakakis, A. F., Jan 1 2017, In : Journal of Computational and Nonlinear Dynamics. 12, 1, 011012.

Research output: Contribution to journalArticle

Periodic Media
Overshoot
Excitation
Breathers
Elastic Foundation

Numerical and experimental investigations of a rotating nonlinear energy sink

AL-Shudeifat, M. A., Wierschem, N. E., Bergman, L. A. & Vakakis, A. F., Mar 1 2017, In : Meccanica. 52, 4-5, p. 763-779 17 p.

Research output: Contribution to journalArticle

sinks
Energy transfer
energy
energy transfer
oscillators
2015

Nonlinear resonances and antiresonances of a forced sonic vacuum

Pozharskiy, D., Zhang, Y., Williams, M. O., McFarland, D. M., Kevrekidis, P. G., Vakakis, A. F. & Kevrekidis, I. G., Dec 23 2015, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 92, 6, 063203.

Research output: Contribution to journalArticle

Nonlinear Resonance
Vacuum
Bifurcation Diagram
vacuum
Crystal

Mode complexity in a harmonically forced string with a local spring-damper and transitions from vibrations to waves

Blanchard, A., Gendelman, O. V., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Jan 6 2015, In : Journal of Sound and Vibration. 334, p. 282-295 14 p.

Research output: Contribution to journalArticle

dampers
strings
Damping
vibration
damping

Targeted energy transfers and passive acoustic wave redirection in a two-dimensional granular network under periodic excitation

Zhang, Y., Moore, K. J., McFarland, D. M. & Vakakis, A. F., Dec 21 2015, In : Journal of Applied Physics. 118, 23, 234901.

Research output: Contribution to journalArticle

energy transfer
acoustics
excitation
pulses
stratification
2017

Propagating discrete breathers in forced one-dimensional granular networks: theory and experiment

Zhang, Y., McFarland, D. M. & Vakakis, A. F., Aug 1 2017, In : Granular Matter. 19, 3, 59.

Research output: Contribution to journalArticle

Circuit theory
harmonic excitation
Analytical models
Experiments
fixtures
2015
Cluster Formation
scale effect
Scale Effect
Energy Dissipation
energy dissipation
2017

Non-reciprocity in structures with nonlinear internal hierarchy and asymmetry

Fronk, M. D., Tawfick, S. H., Daraio, C., Vakakis, A. F. & Leamy, M. J., Jan 1 2017, 29th Conference on Mechanical Vibration and Noise. American Society of Mechanical Engineers (ASME), (Proceedings of the ASME Design Engineering Technical Conference; vol. 8).

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

Reciprocity
Asymmetry
Acoustics
Internal
Hierarchical Structure
2018

Nonreciprocity in the dynamics of coupled oscillators with nonlinearity, asymmetry, and scale hierarchy

Moore, K. J., Bunyan, J., Tawfick, S., Gendelman, O. V., Li, S., Leamy, M. & Vakakis, A. F., Jan 29 2018, In : Physical Review E. 97, 1, 012219.

Research output: Contribution to journalArticle

Coupled Oscillators
hierarchies
Asymmetry
nonlinearity
oscillators
2019

Vibration energy harvesting from impulsive excitations via a bistable nonlinear attachment—Experimental study

Chiacchiari, S., Romeo, F., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Jun 15 2019, In : Mechanical Systems and Signal Processing. 125, p. 185-201 17 p.

Research output: Contribution to journalArticle

Energy harvesting
Vibrations (mechanical)
Harvesters
Electromagnetic waves
Permanent magnets
2017

Experimental Study of Nonlinear Resonances and Anti-Resonances in a Forced, Ordered Granular Chain

Zhang, Y., Pozharskiy, D., McFarland, D. M., Kevrekidis, P. G., Kevrekidis, I. G. & Vakakis, A. F., Apr 1 2017, In : Experimental Mechanics. 57, 4, p. 505-520 16 p.

Research output: Contribution to journalArticle

Acoustics
Metamaterials
Direct numerical simulation
Acoustic wave velocity
Plasticity
2019

Exploring nonlinear benefits in engineering

Jing, X. J. & Vakakis, A. F., Jun 15 2019, In : Mechanical Systems and Signal Processing. 125, p. 1-3 3 p.

Research output: Contribution to journalEditorial

2017

Targeted energy transfer and modal energy redistribution in automotive drivetrains

Motato, E., Haris, A., Theodossiades, S., Mohammadpour, M., Rahnejat, H., Kelly, P., Vakakis, A. F., McFarland, D. M. & Bergman, L. A., Jan 1 2017, In : Nonlinear Dynamics. 87, 1, p. 169-190 22 p.

Research output: Contribution to journalArticle

Energy Transfer
Redistribution
Energy transfer
Energy
Internal combustion engines
2016

Nonlinear system identification of mechanical interfaces based on wave scattering

Moore, K. J., Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Jan 1 2016, Dynamics of Coupled Structures - Proceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016. Rixen, D., Allen, M. & Mayes, R. L. (eds.). Springer New York LLC, p. 333-339 7 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)
Scattering
Wave propagation
Wave transmission
2018

Exact steady states of the periodically forced and damped Duffing oscillator

Vakakis, A. F. & Blanchard, A., Jan 20 2018, In : Journal of Sound and Vibration. 413, p. 57-65 9 p.

Research output: Contribution to journalArticle

Nonlinear systems
Damping
oscillators
methodology
excitation
2016

Global complexity effects due to local damping in a nonlinear system in 1:3 internal resonance

Krack, M., Bergman, L. A. & Vakakis, A. F., Jun 1 2016, In : Archive of Applied Mechanics. 86, 6, p. 1083-1094 12 p.

Research output: Contribution to journalArticle

Nonlinear systems
Damping
2017

Cantilever dynamics in higher-harmonic atomic force microscopy for enhanced material characterization

Potekin, R., Dharmasena, S., McFarland, D. M., Bergman, L. A., Vakakis, A. F. & Cho, H., Apr 1 2017, In : International Journal of Solids and Structures. 110-111, p. 332-339 8 p.

Research output: Contribution to journalArticle

Material Characterization
Atomic Force Microscopy
Cantilever
Atomic force microscopy
Materials properties
2019

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., Jun 15 2019, In : Mechanical Systems and Signal Processing. 125, p. 311-329 19 p.

Research output: Contribution to journalArticle

Cantilever beams
Time series
Dynamical systems
Decomposition
Transient analysis
2017
Vortex flow
oscillators
retarding
vortices
vibration
2018

A micromechanical mass sensing method based on amplitude tracking within an ultra-wide broadband resonance

Potekin, R., Kim, S., McFarland, D. M., Bergman, L. A., Cho, H. & Vakakis, A. F., Apr 1 2018, In : Nonlinear Dynamics. 92, 2, p. 287-304 18 p.

Research output: Contribution to journalArticle

Broadband
Frequency response
Resonators
Sensing
Stiffness

Wavelet-bounded empirical mode decomposition for measured time series analysis

Moore, K. J., Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Jan 15 2018, In : Mechanical Systems and Signal Processing. 99, p. 14-29 16 p.

Research output: Contribution to journalArticle

Time series analysis
Decomposition
Cantilever beams
Transient analysis
Physics
2017

Response attenuation in a large-scale structure subjected to blast excitation utilizing a system of essentially nonlinear vibration absorbers

Wierschem, N. E., Hubbard, S. A., Luo, J., Fahnestock, L. A., Spencer, B. F., McFarland, D. M., Quinn, D. D., Vakakis, A. F. & Bergman, L. A., Feb 17 2017, In : Journal of Sound and Vibration. 389, p. 52-72 21 p.

Research output: Contribution to journalArticle

blasts
absorbers
Blast resistance
attenuation
vibration
2019

Advanced nonlinear system identification for modal interactions in nonlinear structures: A review

Moore, K. J., Mojahed, A., Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Jan 1 2019, Advanced Structured Materials. Springer-Verlag, p. 101-118 18 p. (Advanced Structured Materials; vol. 94).

Research output: Chapter in Book/Report/Conference proceedingChapter

Cantilever beams
Nonlinear systems
Identification (control systems)
Decomposition
Nonlinear dynamical systems
2015

A tip-tilt-piston micromirror with an elastomeric universal joint fabricated via micromasonry

Yang, Z., Jeong, B., Vakakis, A. & Kim, S., Apr 1 2015, In : Journal of Microelectromechanical Systems. 24, 2, p. 262-264 3 p., 7052332.

Research output: Contribution to journalArticle

Universal joints
Pistons
Elastomers
Silicon
Single crystal surfaces
2019

Co-existing complexity-induced traveling wave transmission and vibration localization in Euler-Bernoulli beams

Cheng, X., Bergman, L. A., McFarland, D. M., Tan, C. A., Vakakis, A. F. & Lu, H., Oct 13 2019, In : Journal of Sound and Vibration. 458, p. 22-43 22 p.

Research output: Contribution to journalArticle

Euler-Bernoulli beams
Wave transmission
traveling waves
vibration
stiffness
2016

Nonlinear wave scattering at the flexible interface of a granular dimer chain

Potekin, R., McFarland, D. M. & Vakakis, A. F., Aug 1 2016, In : Granular Matter. 18, 3, 68.

Research output: Contribution to journalArticle

wave scattering
Dimers
dimers
mass ratios
Scattering

Nonlinear model updating methodology with application to the IMAC XXXIII round robin benchmark problem

Kurt, M., Moore, K. J., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Jan 1 2016, Dynamic Behavior of Materials. Kerschen, G. (ed.). Springer New York LLC, p. 343-347 5 p. (Conference Proceedings of the Society for Experimental Mechanics Series; vol. 1).

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

Time series
Hamiltonians
Wavelet transforms
Nonlinear systems
Identification (control systems)
2019
Circular Cylinder
Laminar Flow
Circular cylinders
Laminar flow
Coexistence

Realization by impedance discontinuity of a unidirectional wave in a duct with harmonically perturbed uniform mean flow

Xiao, Y., Lu, H., Zhou, D., McFarland, D. M., Vakakis, A. F. & Bergman, L. A., May 1 2019, In : Journal of the Acoustical Society of America. 145, 5, p. 3048-3057 10 p.

Research output: Contribution to journalArticle

perforated plates
ducts
discontinuity
traveling waves
impedance
2015

Microcantilever system incorporating internal resonance for multi-harmonic atomic force microscopy

Pettit, C., Jeong, B., Keum, H., Lee, J., Kim, J., Kim, S., McFarland, D. M., Bergman, L., Vakakis, A. F. & Cho, H., Feb 26 2015, In : Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS). 2015-February, February, p. 752-755 4 p., 7051067.

Research output: Contribution to journalConference article

Atomic force microscopy
atomic force microscopy
harmonics
Topography
Amplification
2016

High-frequency vibration energy harvesting from impulsive excitation utilizing intentional dynamic instability caused by strong nonlinearity

Remick, K., Dane Quinn, D., Michael McFarland, D., Bergman, L. & Vakakis, A., May 26 2016, In : Journal of Sound and Vibration. 370, p. 259-279 21 p.

Research output: Contribution to journalArticle

Energy harvesting
Vibrations (mechanical)
nonlinearity
vibration
excitation
2018

Ultimate Decoupling between Surface Topography and Material Functionality in Atomic Force Microscopy Using an Inner-Paddled Cantilever

Dharmasena, S. M., Yang, Z., Kim, S., Bergman, L. A., Vakakis, A. F. & Cho, H., Jun 26 2018, In : ACS Nano. 12, 6, p. 5559-5569 11 p.

Research output: Contribution to journalArticle

Surface topography
decoupling
Atomic force microscopy
topography
atomic force microscopy
2015

Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions

Liu, F. H., Theodossiades, S., Bergman, L. A., Vakakis, A. F. & Mcfarland, D. M., Dec 1 2015, In : Mechanism and Machine Theory. 94, p. 141-147 7 p., 2545.

Research output: Contribution to journalArticle

Gear teeth
Lubricants
Hydrodynamics
Damping
Hysteresis loops
2019

Direct detection of nonlinear modal interactions and model updating using measured time series

Moore, K., Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Jan 1 2019, Nonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018. Kerschen, G. (ed.). Springer New York LLC, p. 23-25 3 p. (Conference Proceedings of the Society for Experimental Mechanics Series; vol. 1).

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

Transient analysis
Time series
Aircraft
Mathematical models
Decomposition

Breather arrest, localization, and acoustic non-reciprocity in dissipative nonlinear lattices

Mojahed, A., Gendelman, O. V. & Vakakis, A. F., Jul 1 2019, In : Journal of the Acoustical Society of America. 146, 1, p. 826-842 17 p.

Research output: Contribution to journalArticle

Open Access
acoustics
oscillators
penetration
damping
energy transfer

Rotary-oscillatory nonlinear energy sink of robust performance

Saeed, A. S., AL-Shudeifat, M. A. & Vakakis, A. F., Dec 2019, In : International Journal of Non-Linear Mechanics. 117, 103249.

Research output: Contribution to journalArticle

Robust Performance
Energy dissipation
Energy absorption
Energy
Energy transfer
2016

Intentional nonlinearity for design of micro/nanomechanical resonators

Cho, H., Bergman, L. A., Yu, M. F. & Vakakis, A. F., Jan 12 2016, Nanocantilever Beams: Modeling, Fabrication and Applications. Pan Stanford Publishing Pte. Ltd., p. 137-192 56 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

Resonators
2018

A spring-mass system with elastomeric beams and stretchable interconnects

Yang, Z., Potekin, R., Vakakis, A. F. & Kim, S., Jan 2018, In : Journal of Micromechanics and Microengineering. 28, 1, 014003.

Research output: Contribution to journalArticle

Silicon
MEMS
Natural frequencies
Harvesters
Polyimides

Non-reciprocity in nonlinear elastodynamics

Blanchard, A., Sapsis, T. P. & Vakakis, A. F., Jan 6 2018, In : Journal of Sound and Vibration. 412, p. 326-335 10 p.

Research output: Contribution to journalArticle

elastodynamics
Time varying systems
Asymptotic analysis
Green's function
Mathematical operators

Inducing a nonreflective airborne discontinuity in a circular duct by using a nonresonant side branch to create mode complexity

Xiao, Y., Lu, H., Michael McFarland, D., Vakakis, A. F. & Bergman, L. A., Feb 1 2018, In : Journal of the Acoustical Society of America. 143, 2, p. 746-755 10 p.

Research output: Contribution to journalArticle

ducts
discontinuity
nonresonance
sound waves
standing waves