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5-DOF dynamic model of vehicle shimmy system with clearance at universal joint in steering handling mechanism

Lu, J., Xu, Y., Hu, C., Vakakis, A. F. & Bergman, L. A., 2013, In : Shock and Vibration. 20, 5, p. 951-961 11 p.

Research output: Contribution to journalArticle

Universal joints
clearances
dynamic models
Dynamic models
vehicles

Absorption of Resonant Vibrations in Tuned Nonlinear Jointed Structures

Krack, M., Bergman, L. & Vakakis, A. F., Apr 1 2016, In : Journal of Vibration and Acoustics, Transactions of the ASME. 138, 2, 021001.

Research output: Contribution to journalArticle

resonant vibration
substructures
Energy conversion
absorbers
linear vibration

Accelerating oscillatory fronts in a nonlinear sonic vacuum with strong nonlocal effects

Gendelman, O. V., Zolotarevskiy, V., Savin, A. V., Bergman, L. A. & Vakakis, A. F., Mar 15 2016, In : Physical Review E. 93, 3, 032216.

Research output: Contribution to journalArticle

Nonlocal Effects
Vacuum
Scaling Laws
vacuum
Tail

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

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

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 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

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

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)

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

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

A study on torsional vibration attenuation in automotive drivetrains using absorbers with smooth and non-smooth nonlinearities

Haris, A., Motato, E., Theodossiades, S., Rahnejat, H., Kelly, P., Vakakis, A. F., Bergman, L. A. & McFarland, D. M., Jun 2017, In : Applied Mathematical Modelling. 46, p. 674-690 17 p.

Research output: Contribution to journalArticle

Torsional Vibration
Absorber
Attenuation
Engine
Vibration

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)

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

Atomic force microscope infrared spectroscopy on 15 nm scale polymer nanostructures

Felts, J. R., Cho, H., Yu, M. F., Bergman, L. A., Vakakis, A. F. & King, W. P., Feb 1 2013, In : Review of Scientific Instruments. 84, 2, 023709.

Research output: Contribution to journalArticle

Infrared spectroscopy
Nanostructures
Microscopes
infrared spectroscopy
microscopes

Breaking Lorentz reciprocity to overcome the time-bandwidth limit in physics and engineering

Tsakmakidis, K. L., Shen, L., Schulz, S. A., Zheng, X., Upham, J., Deng, X., Altug, H., Vakakis, A. F. & Boyd, R. W., Jun 23 2017, In : Science. 356, 6344, p. 1260-1264 5 p.

Research output: Contribution to journalArticle

engineering
bandwidth
physics
continuum mechanics
atomic physics

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

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

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., May 1 2016, In : Journal of Fluids and Structures. 63, p. 155-173 19 p.

Research output: Contribution to journalArticle

Fluids
Fluid structure interaction
Vortex flow
Stabilization
Direct numerical simulation

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

Classification of periodic orbits of two-dimensional homogeneous granular crystals with no pre-compression

Detroux, T., Starosvetsky, Y., Kerschen, G. & Vakakis, A. F., Apr 2014, In : Nonlinear Dynamics. 76, 1, p. 673-696 24 p.

Research output: Contribution to journalArticle

Periodic Orbits
Orbits
Compaction
Crystal
Compression
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

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

Complex nonlinear dynamics in the limit of weak coupling of a system of microcantilevers connected by a geometrically nonlinear tunable nanomembrane

Jeong, B., Cho, H., Keum, H., Kim, S., McFarland, D. M., Bergman, L., King, W. P. & Vakakis, A. F., Nov 21 2014, In : Nanotechnology. 25, 46, 465501.

Research output: Contribution to journalArticle

Dynamical systems
Micromechanical resonators
Silicon
Nanotubes
Nanowires

Computational study of vortex-induced vibration of a sprung rigid circular cylinder with a strongly nonlinear internal attachment

Tumkur, R. K. R., Calderer, R., Masud, A., Pearlstein, A. J., Bergman, L. A. & Vakakis, A. F., Jul 1 2013, In : Journal of Fluids and Structures. 40, p. 214-232 19 p.

Research output: Contribution to journalArticle

Circular cylinders
Vortex flow
Navier Stokes equations
Reynolds number
Finite element method
Vibrations (mechanical)
attachment
Damping
Continuum
Vibration

Design, simulation, and large-scale testing of an innovative vibration mitigation device employing essentially nonlinear elastomeric springs

Luo, J., Wierschem, N. E., Fahnestock, L. A., Spencer, B. F., Quinn, D. D., Mcfarland, D. M., Vakakis, A. F. & Bergman, L. A., Oct 10 2014, In : Earthquake Engineering and Structural Dynamics. 43, 12, p. 1829-1851 23 p.

Research output: Contribution to journalArticle

stiffness
vibration
mitigation
Stiffness
structural response

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

Dynamic analysis of cross shaft type universal joint with clearance

Lu, J. W., Wang, G. C., Chen, H., Vakakis, A. F. & Bergman, L., Nov 1 2013, In : Journal of Mechanical Science and Technology. 27, 11, p. 3201-3205 5 p.

Research output: Contribution to journalArticle

Universal joints
Dynamic analysis
Dynamic models
Ground vehicles
Shafts (machine components)

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 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

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

Manevitch, L. I., Sigalov, G., Romeo, F., Bergman, L. A. & Vakakis, A., Jan 1 2014, In : Journal of Applied Mechanics, Transactions ASME. 81, 4, 041011-1.

Research output: Contribution to journalArticle

attachment
oscillators
superharmonics
Degrees of freedom (mechanics)
Energy transfer

Dynamics of an eccentric rotational nonlinear energy sink

Gendelman, O. V., Sigalov, G., Manevitch, L. I., Mane, M., Vakakis, A. F. & Bergman, L. A., 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

Effect of 1:3 resonance on the steady-state dynamics of a forced strongly nonlinear oscillator with a linear light attachment

Kurt, M., Slavkin, I., Eriten, M., McFarland, D. M., Gendelman, O. V., Bergman, L. & Vakakis, A. F., Aug 2014, In : Archive of Applied Mechanics. 84, 8, p. 1189-1203 15 p.

Research output: Contribution to journalArticle

Hamiltonians
Direct numerical simulation
Degrees of freedom (mechanics)
Energy transfer
Nonlinear systems

Effect of an internal nonlinear rotational dissipative element on vortex shedding and vortex-induced vibration of a sprung circular cylinder

Tumkur, R. K. R., Pearlstein, A. J., Masud, A., Gendelman, O. V., Blanchard, A. B., Bergman, L. A. & Vakakis, A. F., Oct 10 2017, In : Journal of Fluid Mechanics. 828, p. 196-235 40 p.

Research output: Contribution to journalArticle

vortex shedding
Vortex shedding
circular cylinders
Circular cylinders
sinks

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

Effects of uncertainties on pulse attenuation in dimer granular chains with and without pre-compression

Hasan, M. A., Pichler, L., Starosvetsky, Y., McFarland, D. M. & Vakakis, A. F., Oct 30 2015, In : Continuum Mechanics and Thermodynamics. 27, 4-5, p. 749-766 18 p.

Research output: Contribution to journalArticle

beads
Dimers
attenuation
dimers
pulses

Energy equipartition in two-dimensional granular systems with spherical intruders

Szelengowicz, I., Hasan, M. A., Starosvetsky, Y., Vakakis, A. F. & Daraio, C., Mar 14 2013, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 87, 3, 032204.

Research output: Contribution to journalArticle

equipartition theorem
Equipartition
Energy
Adjacent
Absorbing

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. A., 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

Equivalent modal damping, stiffening and energy exchanges in multi-degree-of-freedom systems with strongly nonlinear attachments

Quinn, D. D., Hubbard, S., Wierschem, N., Al-Shudeifat, M. A., Ott, R. J., Luo, J., Spencer, B. F., McFarland, D. M., Vakakis, A. F. & Bergman, L., Jun 1 2012, In : Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics. 226, 2, p. 122-146 25 p.

Research output: Contribution to journalArticle

stiffening
Degrees of freedom (mechanics)
attachment
degrees of freedom
Damping

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

Experimental study of embedded and non-embedded ordered granular chains under impulsive excitation

Avagyan, A., Chiao, D., Dostart, N., Zhu, K., Cho, S., Remick, K., Vakakis, A. F., McFarland, D. M. & Kriven, W. M., Sep 1 2016, In : Acta Mechanica. 227, 9, p. 2511-2527 17 p.

Research output: Contribution to journalArticle

Dimers
Acoustics
Metamaterials
Scattering

Experimental study of nonlinear acoustic bands and propagating breathers in ordered granular media embedded in matrix

Hasan, M. A., Cho, S., Remick, K., Vakakis, A. F., McFarland, D. M. & Kriven, W. M., Jan 1 2014, In : Granular Matter. 17, 1, p. 49-72 24 p.

Research output: Contribution to journalArticle

Acoustics
acoustics
matrices
Metamaterials
frequency ranges