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  • Alexander F Vakakis

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

Intentional nonlinearity for design of micro/nanomechanical resonators

Cho, H., Bergman, L., 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

Intentional utilization of strong nonlinearity in structural dynamics

Vakakis, A. F., Jan 1 2017, In : Procedia Engineering. 199, p. 70-77 8 p.

Research output: Contribution to journalConference article

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

Methodologies for nonlinear periodic media

Vakakis, A. F., Jan 1 2012, CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing, p. 257-326 70 p. (CISM International Centre for Mechanical Sciences, Courses and Lectures; vol. 540).

Research output: Chapter in Book/Report/Conference proceedingChapter

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

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

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 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. 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

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 dynamics of granular chains

Starosvetsky, Y. & Vakakis, A. F., Dec 1 2010, ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010. p. 913-918 6 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 5).

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

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 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

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 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. & 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

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., 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 a cantilever beam with attached cubic nonlinear spring at its free end

Kurt, M., Eriten, M., Vakakis, A. F., Michael McFarland, D. & Bergman, L., Dec 1 2012, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. p. 247-252 6 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 6).

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

Nonlinear system identification of frictional connections in a bolted beam assembly

Eriten, M., Kurt, M., Luo, G., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., Dec 1 2012, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B ed. p. 381-387 7 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 1, no. PARTS A AND B).

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

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

Nonlinear system identification of mechanical interfaces based on wave scattering

Moore, K. J., Kurt, M., Eriten, M., McFarland, D. M., Bergman, L. & 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 system identification of strongly nonlinear beats in the dynamics of a beam with a local stiffness nonlinearity

Kurt, M., Vakakis, A. F., McFarland, D. M., Bergman, L. & Eriten, M., 2013, Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013. p. 1945-1947 3 p.

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

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 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

Chen, H., Kurt, M., Lee, Y. S., McFarland, D. M., Bergman, L. A. & Vakakis, A. F., 2012, Topics in Nonlinear Dynamics - Proceedings of the 30th IMAC, A Conference on Structural Dynamics, 2012. p. 287-299 13 p. (Conference Proceedings of the Society for Experimental Mechanics Series; vol. 3).

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

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 2012, In : Archive of Applied Mechanics. 82, 10-11, p. 1461-1479 19 p.

Research output: Contribution to journalArticle

Nonlinear system identification of vibro-impact nonsmooth dynamical systems

Lee, Y. S., Chen, H., Vakakis, A. F., McFarland, D. M. & Bergman, L. A., 2011, 52nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. AIAA 2011-2067. (Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference).

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

Nonlinear targeted energy transfer and its application to vibration mitigation

Vakakis, A. F., Jan 1 2010, CISM International Centre for Mechanical Sciences, Courses and Lectures. Springer International Publishing, p. 271-300 30 p. (CISM International Centre for Mechanical Sciences, Courses and Lectures; vol. 518).

Research output: Chapter in Book/Report/Conference proceedingChapter

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

Nonlinear targeted energy transfer in granular chains

Hasan, M. A., Starosvetsky, Y. & Vakakis, A. F., Dec 1 2012, ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012. PARTS A AND B ed. p. 531-536 6 p. (Proceedings of the ASME Design Engineering Technical Conference; vol. 1, no. PARTS A AND B).

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

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

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

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

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

Non-reciprocity in structures with nonlinear internal hierarchy and asymmetry

Fronk, M. D., Tawfick, S., 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

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. & 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