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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

Experimental Study of Strongly Nonlinear Resonances and Anti-Resonances in Granular Dimer Chains

Potekin, R., Jayaprakash, K. R., McFarland, D. M., Remick, K., Bergman, L. & Vakakis, A. F., Jun 1 2013, In : Experimental Mechanics. 53, 5, p. 861-870 10 p.

Research output: Contribution to journalArticle

Dimers
Acoustics
Acoustic wave velocity
Solitons
Radiation

Experimental system identification of the dynamics of a vibro-impact beam with a view towards structural health monitoring and damage detection

Chen, H., Kurt, M., Lee, Y. S., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., May 3 2014, In : Mechanical Systems and Signal Processing. 46, 1, p. 91-113 23 p.

Research output: Contribution to journalArticle

Damage detection
Structural health monitoring
Nonlinear systems
Identification (control systems)
Defect structures

Experimental testing and numerical simulation of a six-story structure incorporating two-degree-of-freedom nonlinear energy sink

Wierschem, N. E., Luo, J., Al-Shudeifat, M., Hubbard, S., Ott, R., Fahnestock, L. A., Quinn, D. D., McFarland, D. M., Spencer, B. F., Vakakis, A. F. & Bergman, L., Jun 1 2014, In : Journal of Structural Engineering (United States). 140, 6, 04014027.

Research output: Contribution to journalArticle

Stiffness
Computer simulation
Testing
Polyurethanes
Damping

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

Frequency bands of strongly nonlinear homogeneous granular systems

Lydon, J., Jayaprakash, K. R., Ngo, D., Starosvetsky, Y., Vakakis, A. F. & Daraio, C., Jul 19 2013, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 88, 1, 012206.

Research output: Contribution to journalArticle

Periodic Media
Oscillation
Forcing
beads
oscillations

Frequency-energy plots of steady-state solutions for forced and damped systems, and vibration isolation by nonlinear mode localization

Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Aug 1 2014, In : Communications in Nonlinear Science and Numerical Simulation. 19, 8, p. 2905-2917 13 p.

Research output: Contribution to journalArticle

Vibration Isolation
Steady-state Solution
Damped
Energy transfer
Frequency response

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

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

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

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

Remick, K., Quinn, D. D., McFarland, D. M., Bergman, L. & Vakakis, A., Mar 1 2017, In : Journal of Intelligent Material Systems and Structures. 28, 4, p. 468-487 20 p.

Research output: Contribution to journalArticle

Energy harvesting
Vibrations (mechanical)
Electromechanical coupling
Oscillators (mechanical)
Stiffness

Improved atomic force microscope infrared spectroscopy for rapid nanometer-scale chemical identification

Cho, H., Felts, J. R., Yu, M. F., Bergman, L. A., Vakakis, A. F. & King, W. P., Nov 8 2013, In : Nanotechnology. 24, 44, 444007.

Research output: Contribution to journalArticle

Infrared spectroscopy
Microscopes
Signal to noise ratio
Polymer films
Wavelet transforms

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

Influence of backlash in gear reducer on dynamic of single-link manipulator arm

Lu, J. W., Sun, X. M., Vakakis, A. F. & Bergman, L., Jan 29 2014, In : Robotica. 759, 5

Research output: Contribution to journalArticle

Manipulator
Manipulators
Gears
Flexible Manipulator
Flexible manipulators

Influence of system parameters on dynamic behavior of gear pair with stochastic backlash

Lu, J. W., Chen, H., Zeng, F. L., Vakakis, A. F. & Bergman, L. A., Feb 1 2014, In : Meccanica. 49, 2, p. 429-440 12 p.

Research output: Contribution to journalArticle

Gears
assembling
exponents
diagrams
Spur gears

Influences of system parameters on dynamic behavior of the vehicle shimmy system with clearance in steering linkage

Lu, J. W., Xin, J. Y., Vakakis, A. F. & Bergman, L., Feb 17 2015, In : JVC/Journal of Vibration and Control. 21, 2, p. 359-370 12 p.

Research output: Contribution to journalArticle

Dynamic response
Kinematics
Numerical analysis
Dynamic models
Wheels

Interactions of propagating waves in a one-dimensional chain of linear oscillators with a strongly nonlinear local attachment

Vakakis, A. F., Al-Shudeifat, M. A. & Hasan, M. A., Oct 2014, In : Meccanica. 49, 10, p. 2375-2397 23 p.

Research output: Contribution to journalArticle

attachment
oscillators
Wave transmission
Backscattering
Stiffness

Large-scale experimental evaluation and numerical simulation of a system of nonlinear energy sinks for seismic mitigation

Luo, J., Wierschem, N. E., Hubbard, S. A., Fahnestock, L. A., Dane Quinn, D., Michael McFarland, D., Spencer, B. F., Vakakis, A. F. & Bergman, L. A., Oct 15 2014, In : Engineering Structures. 77, p. 34-48 15 p.

Research output: Contribution to journalArticle

Earthquakes
Computer simulation
Numerical models
Cluster Formation
scale effect
Scale Effect
Energy Dissipation
energy dissipation

Methodology for model updating of mechanical components with local nonlinearities

Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Nov 24 2015, In : Journal of Sound and Vibration. 357, p. 331-348 18 p.

Research output: Contribution to journalArticle

nonlinearity
methodology
dynamical systems
Dynamical systems
energy

Methodology for nonlinear quantification of a flexible beam with a local, strong nonlinearity

Herrera, C. A., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Feb 3 2017, In : Journal of Sound and Vibration. 388, p. 298-314 17 p.

Research output: Contribution to journalArticle

Cantilever beams
nonlinearity
Stiffness
methodology
Nonlinear systems

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

Modeling and measurement of geometrically nonlinear damping in a microcantilever-nanotube system

Jeong, B., Cho, H., Yu, M. F., Vakakis, A. F., McFarland, D. M. & Bergman, L. A., Oct 22 2013, In : ACS Nano. 7, 10, p. 8547-8553 7 p.

Research output: Contribution to journalArticle

Nanotubes
nanotubes
Damping
damping
probes

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

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

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 hardening and softening resonances in micromechanical cantilever-nanotube systems originated from nanoscale geometric nonlinearities

Cho, H., Jeong, B., Yu, M. F., Vakakis, A. F., McFarland, D. M. & Bergman, L., Aug 1 2012, In : International Journal of Solids and Structures. 49, 15-16, p. 2059-2065 7 p.

Research output: Contribution to journalArticle

Geometric Nonlinearity
Cantilever
Softening
Hardening
Nanotubes

Nonlinear localization, passive wave arrest and traveling breathers in two-dimensional granular networks with discontinuous lateral boundary conditions

Hasan, M. A., Vakakis, A. F. & McFarland, D. M., Jan 1 2016, In : Wave Motion. 60, p. 196-219 24 p.

Research output: Contribution to journalArticle

boundary conditions
beads
acoustics
propagation
interstitials

Nonlinear low-to-high-frequency energy cascades in diatomic granular crystals

Kim, E., Chaunsali, R., Xu, H., Jaworski, J., Yang, J., Kevrekidis, P. G. & Vakakis, A. F., Dec 4 2015, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 92, 6, 062201.

Research output: Contribution to journalArticle

Cascade
cascades
Crystal
Energy
crystals

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

Nonlinear model updating applied to the IMAC XXXII Round Robin benchmark system

Kurt, M., Moore, K. J., Eriten, M., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., May 1 2017, In : Mechanical Systems and Signal Processing. 88, p. 111-122 12 p.

Research output: Contribution to journalArticle

Time series
Identification (control systems)
Hamiltonians
Wavelet transforms
Nonlinear systems

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 oscillatory acoustic vacuum

Manevitch, L. I. & Vakakis, A. F., Jan 1 2014, In : SIAM Journal on Applied Mathematics. 74, 6, p. 1742-1762 21 p.

Research output: Contribution to journalArticle

Acoustics
Vacuum
Acoustic wave velocity
Boundary conditions
Normal Modes

Nonlinear Parameter Identification of a Mechanical Interface Based on Primary Wave Scattering

Moore, K. J., Kurt, M., Eriten, M., Dodson, J. C., Foley, J. R., Wolfson, J. C., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Nov 1 2017, In : Experimental Mechanics. 57, 9, p. 1495-1508 14 p.

Research output: Contribution to journalArticle

Identification (control systems)
Scattering
Ordinary differential equations
Wave propagation
Waveguides

Nonlinear pulse equipartition in weakly coupled ordered granular chains with no precompression

Starosvetsky, Y., Hasan, M. A. & Vakakis, A. F., May 28 2013, In : Journal of Computational and Nonlinear Dynamics. 8, 3, 034504.

Research output: Contribution to journalArticle

Equipartition
Solitons
Solitary Waves
Impulse
Energy Distribution

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

Nonlinear resonances in a general class of granular dimers with no pre-compression

Jayaprakash, K. R., Vakakis, A. F. & Starosvetsky, Y., Jun 1 2013, In : Granular Matter. 15, 3, p. 327-347 21 p.

Research output: Contribution to journalArticle

beads
Dimers
dimers
pulses
waveforms

Nonlinear resonances leading to strong pulse attenuation in granular dimer chains

Jayaprakash, K. R., Starosvetsky, Y., Vakakis, A. F. & Gendelman, O. V., Jun 1 2013, In : Journal of Nonlinear Science. 23, 3, p. 363-392 30 p.

Research output: Contribution to journalArticle

Nonlinear Resonance
Dimer
Attenuation
Dimers
Waveform

Nonlinear system identification of frictional effects in a beam with a bolted joint connection

Eriten, M., Kurt, M., Luo, G., Michael McFarland, D., Bergman, L. & Vakakis, A. F., Aug 1 2013, In : Mechanical Systems and Signal Processing. 39, 1-2, p. 245-264 20 p.

Research output: Contribution to journalArticle

Bolted joints
Nonlinear systems
Identification (control systems)
Damping
Dynamic analysis

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 system identification of the dynamics of a vibro-impact beam: Numerical results

Kurt, M., Chen, H., Lee, Y. S., McFarland, D. M., Bergman, L. & Vakakis, A. F., Oct 1 2012, In : Archive of Applied Mechanics. 82, 10-11, p. 1461-1479 19 p.

Research output: Contribution to journalArticle

Nonlinear systems
Identification (control systems)
Decomposition
Cantilever beams
Time series

Nonlinear targeted energy transfer and macroscopic analog of the quantum Landau-Zener effect in coupled granular chains

Hasan, M. A., Starosvetsky, Y., Vakakis, A. F. & Manevitch, L. I., Jun 1 2013, In : Physica D: Nonlinear Phenomena. 252, p. 46-58 13 p.

Research output: Contribution to journalArticle

Zener effect
energy transfer
analogs
stratification
beads

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

Nonreciprocal acoustics and dynamics in the in-plane oscillations of a geometrically nonlinear lattice

Zhang, Z., Koroleva, I., Manevitch, L. I., Bergman, L. A. & Vakakis, A. F., Sep 16 2016, In : Physical Review E. 94, 3, 032214.

Research output: Contribution to journalArticle

Nonlinear Lattice
Acoustics
Oscillation
Normal Modes
oscillations

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

Non-resonant damped transitions resembling continuous resonance scattering in coupled oscillators with essential nonlinearities

Andersen, D., Starosvetsky, Y., Mane, M., Hubbard, S., Remick, K., Wang, X., Vakakis, A. F. & Bergman, L., May 15 2012, In : Physica D: Nonlinear Phenomena. 241, 10, p. 964-975 12 p.

Research output: Contribution to journalArticle

resonance scattering
nonlinearity
oscillators
orbits
infinity

Non-stationary resonance dynamics of a nonlinear sonic vacuum with grounding supports

Koroleva Kikot, I. P., Manevitch, L. I. & Vakakis, A. F., Nov 24 2015, In : Journal of Sound and Vibration. 357, p. 349-364 16 p.

Research output: Contribution to journalArticle

Electric grounding
Vacuum
vacuum
Stiffness
stiffness

Numerical and experimental investigation of a highly effective single-sided vibro-impact non-linear energy sink for shock mitigation

Al-Shudeifat, M. A., Wierschem, N., Quinn, D. D., Vakakis, A. F., Bergman, L. & Spencer, B. F., Mar 25 2013, In : International Journal of Non-Linear Mechanics. 52, p. 96-109 14 p.

Research output: Contribution to journalArticle

Numerical Investigation
Experimental Investigation
Shock
Stiffness
Damping

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