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2017

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

Separation of Traveling and Standing Waves in a Rigid-Walled Circular Duct Containing an Intermediate Impedance Discontinuity

Xiao, Y., Blanchard, A., Zhang, Y., Lu, H., Michael, D., Vakakis, A. F. & Bergman, L. A., Dec 1 2017, In : Journal of Vibration and Acoustics, Transactions of the ASME. 139, 6, 061001.

Research output: Contribution to journalArticle

ducts
standing waves
traveling waves
Ducts
discontinuity

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

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

Targeted energy transfer in laminar vortex-induced vibration of a sprung cylinder with a nonlinear dissipative rotator

Blanchard, A., Bergman, L. A. & Vakakis, A. F., Jul 1 2017, In : Physica D: Nonlinear Phenomena. 350, p. 26-44 19 p.

Research output: Contribution to journalArticle

energy transfer
vortices
sinks
vibration
elongation

Toward understanding the self-adaptive dynamics of a harmonically forced beam with a sliding mass

Krack, M., Aboulfotoh, N., Twiefel, J., Wallaschek, J., Bergman, L. A. & Vakakis, A. F., Apr 1 2017, In : Archive of Applied Mechanics. 87, 4, p. 699-720 22 p.

Research output: Contribution to journalArticle

Energy harvesting
Hysteresis

Traveling and solitary waves in monodisperse and dimer granular chains

Starosvetsky, Y., Jayaprakash, K. R. & Vakakis, A. F., Apr 20 2017, In : International Journal of Modern Physics B. 31, 10, 1742001.

Research output: Contribution to journalReview article

traveling waves
beads
solitary waves
dimers
homogenizing

Vibration energy harvesting from impulsive excitations via a bistable nonlinear attachment

Chiacchiari, S., Romeo, F., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Sep 2017, In : International Journal of Non-Linear Mechanics. 94, p. 84-97 14 p.

Research output: Contribution to journalArticle

Energy Harvesting
Energy harvesting
Vibrations (mechanical)
Vibration
Excitation
2018

Acoustic diode: Wave non-reciprocity in nonlinearly coupled waveguides

Grinberg, I., Vakakis, A. F. & Gendelman, O. V., Dec 2018, In : Wave Motion. 83, p. 49-66 18 p.

Research output: Contribution to journalArticle

diodes
waveguides
acoustics
harmonics
clearances

Acoustic nonreciprocity in a lattice incorporating nonlinearity, asymmetry, and internal scale hierarchy: Experimental study

Bunyan, J., Moore, K. J., Mojahed, A., Fronk, M. D., Leamy, M., Tawfick, S. & Vakakis, A. F., May 21 2018, In : Physical Review E. 97, 5, 052211.

Research output: Contribution to journalArticle

hierarchies
Asymmetry
Experimental Study
Acoustics
nonlinearity

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

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

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

Extreme nonlinear energy exchanges in a geometrically nonlinear lattice oscillating in the plane

Zhang, Z., Manevitch, L. I., Smirnov, V., Bergman, L. A. & Vakakis, A. F., Feb 2018, In : Journal of the Mechanics and Physics of Solids. 110, p. 1-20 20 p.

Research output: Contribution to journalArticle

axial modes
energy transfer
Energy transfer
harmonic excitation
Explosions

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
Energy Transfer
dynamical systems
Energy transfer
energy transfer
nonlinearity

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

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

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
Energy Transfer
Energy transfer
energy transfer
Scattering
Energy

Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

Agaoglou, M., Fečkan, M., Pospíšil, M., Rothos, V. M. & Vakakis, A. F., 2018, In : Axioms. 7, 4, 13 p., 69.

Research output: Contribution to journalArticle

Open Access
Acoustics
Vacuum
Oscillation
Persistence
Harmonic

Strong geometric softening–hardening nonlinearities in an oscillator composed of linear stiffness and damping elements

Mojahed, A., Moore, K., Bergman, L. A. & Vakakis, A. F., Dec 2018, In : International Journal of Non-Linear Mechanics. 107, p. 94-111 18 p.

Research output: Contribution to journalArticle

Geometric Nonlinearity
Stiffness
Damping
Inclination
Angle

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

Vibration mode localization in rectangular plates with V-shaped through cracks

Huang, T., Lu, H., McFarland, D. M., Bergman, L. A., Li, W. L., Tan, C. A. & Vakakis, A. F., Jan 1 2018.

Research output: Contribution to conferencePaper

rectangular plates
vibration mode
cracks
modal response
Rayleigh-Ritz method

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

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

Wave non-reciprocity at a nonlinear structural interface

Moore, K. J. & Vakakis, A. F., Oct 1 2018, In : Acta Mechanica. 229, 10, p. 4057-4070 14 p.

Research output: Contribution to journalArticle

Wave transmission
Waveguides
Structural dynamics
Acoustics
Stiffness
2019

Acoustic non-reciprocal band structure in a passive, nonlinear, 1D material

Fang, L., Darabi, A., Vakakis, A. F. & Leamy, M. J., Jan 1 2019, 31st 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

Band Structure
Band structure
Wave propagation
Acoustics
Energy gap

Acoustic non-reciprocity in lattices with nonlinearity, internal hierarchy, and asymmetry: Computational study

Fronk, M. D., Tawfick, S. H., Daraio, C., Li, S., Vakakis, A. F. & Leamy, M. J., Oct 1 2019, In : Journal of Vibration and Acoustics, Transactions of the ASME. 141, 5, 051011.

Research output: Contribution to journalArticle

Wave propagation
hierarchies
Acoustics
nonlinearity
asymmetry

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 Berlin Heidelberg, 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

A new way to introduce geometrically nonlinear stiffness and damping with an application to vibration suppression

Liu, Y., Mojahed, A., Bergman, L. A. & Vakakis, A. F., Jan 1 2019, In : Nonlinear Dynamics.

Research output: Contribution to journalArticle

Vibration Suppression
Vibrations (mechanical)
Stiffness
Damping
Degrees of freedom (mechanics)

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

Broadband passive nonlinear acoustic diode

Darabi, A., Fang, L., Mojahed, A., Fronk, M. D., Vakakis, A. F. & Leamy, M. J., Jun 20 2019, In : Physical Review B. 99, 21, 214305.

Research output: Contribution to journalArticle

Diodes
Acoustics
Acoustic devices
diodes
broadband

Certain aspects of the acoustics of a strongly nonlinear discrete lattice

Mojahed, A. & Vakakis, A. F., Jan 1 2019, In : Nonlinear Dynamics.

Research output: Contribution to journalArticle

Breathers
Acoustics
Excitation
Energy
Propagation
Circular Cylinder
Laminar Flow
Circular cylinders
Laminar flow
Coexistence

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

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

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

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

Inner-Paddled Microcantilever for Multi-modal and Nonlinear Atomic Force Microscopy

Dharmasena, S., Potekin, R., Bergman, L. A., Vakakis, A. F. & Cho, H., Jan 1 2019, Advanced Structured Materials. Springer-Verlag, p. 27-52 26 p. (Advanced Structured Materials; vol. 114).

Research output: Chapter in Book/Report/Conference proceedingChapter

Atomic force microscopy
Materials properties
Surface topography
Biotechnology
Crosstalk

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

Rotary-impact nonlinear energy sink for shock mitigation: analytical and numerical investigations

Saeed, A. S., AL-Shudeifat, M. A., Vakakis, A. F. & Cantwell, W. J., Jan 1 2019, (Accepted/In press) In : Archive of Applied Mechanics.

Research output: Contribution to journalArticle

Energy transfer
Scattering

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

Time-series-based nonlinear system identification of strongly nonlinear attachments

Moore, K. J., Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Jan 6 2019, In : Journal of Sound and Vibration. 438, p. 13-32 20 p.

Research output: Contribution to journalArticle

system identification
nonlinear systems
attachment
Nonlinear systems
Time series

Tunable Acoustic Nonreciprocity in Strongly Nonlinear Waveguides with Asymmetry

Mojahed, A., Bunyan, J., Tawfick, S. H. & Vakakis, A. F., Sep 17 2019, In : Physical Review Applied. 12, 3, 034033.

Research output: Contribution to journalArticle

asymmetry
waveguides
acoustics
wave packets
energy

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

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