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  • Alexander F Vakakis
Article

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

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

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

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

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

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., Feb 1 2018, In : Journal of the Acoustical Society of America. 143, 2, p. 746-755 10 p.

Research output: Contribution to journalArticle

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

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

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. A., Feb 17 2015, In : JVC/Journal of Vibration and Control. 21, 2, p. 359-370 12 p.

Research output: Contribution to journalArticle

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

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

Methodology for model updating of mechanical components with local nonlinearities

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

Research output: Contribution to journalArticle

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

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

Research output: Contribution to journalArticle

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

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

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

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., 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

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

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. A., Aug 1 2012, In : International Journal of Solids and Structures. 49, 15-16, p. 2059-2065 7 p.

Research output: Contribution to journalArticle

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

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

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

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

Research output: Contribution to journalArticle

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

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

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. & Vakakis, A. F., Nov 1 2017, In : Experimental Mechanics. 57, 9, p. 1495-1508 14 p.

Research output: Contribution to journalArticle

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

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 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

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

Eriten, M., Kurt, M., Luo, G., Michael McFarland, D., Bergman, L. A. & 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

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., Feb 1 2010, In : Aeronautical Journal. 114, 1152, p. 61-62 2 p.

Research output: Contribution to journalArticle

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. A. & 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 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

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

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

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

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

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. A. & 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 and experimental investigations of a rotating nonlinear energy sink

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

Research output: Contribution to journalArticle

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. & McFarland, D. M., Nov 2017, In : International Journal of Non-Linear Mechanics. 96, p. 22-35 14 p.

Research output: Contribution to journalArticle

Passive damping enhancement of a two-degree-of-freedom system through a strongly nonlinear two-degree-of-freedom attachment

Wierschem, N. E., Quinn, D. D., Hubbard, S. A., Al-Shudeifat, M. A., McFarland, D. M., Luo, J., Fahnestock, L. A., Spencer, B. F., Vakakis, A. F. & Bergman, L. A., Dec 3 2012, In : Journal of Sound and Vibration. 331, 25, p. 5393-5407 15 p.

Research output: Contribution to journalArticle

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

Primary pulse transmission in coupled steel granular chains embedded in PDMS matrix: Experiment and modeling

Hasan, M. A., Cho, S., Remick, K., Vakakis, A. F., McFarland, D. M. & Kriven, W. M., Oct 1 2013, In : International Journal of Solids and Structures. 50, 20-21, p. 3207-3224 18 p.

Research output: Contribution to journalArticle

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

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

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

Realization of a strongly nonlinear vibration-mitigation device using elastomeric bumpers

Luo, J., Wierschem, N. E., Fahnestock, L. A., Bergman, L. A., Spencer, B. F., Al-Shudeifat, M., McFarland, D. M., Quinn, D. D. & Vakakis, A. F., 2014, In : Journal of Engineering Mechanics. 140, 5, 04014009.

Research output: Contribution to journalArticle

Reduced-order model for laminar vortex-induced vibration of a rigid circular cylinder with an internal nonlinear absorber

Tumkur, R. K. R., Domany, E., Gendelman, O. V., Masud, A., Bergman, L. A. & Vakakis, A. F., Jul 1 2013, In : Communications in Nonlinear Science and Numerical Simulation. 18, 7, p. 1916-1930 15 p.

Research output: Contribution to journalArticle