Publications: 2010-2014
Journal Publications
(*) Undergraduate student at the time of submission.
2010
- Modeling of nonlinear modal interactions in the transient dynamics of an elastic rod with an essentially nonlinear attachment 2010, S. Tsakirtzis, Y.S. Lee, A.F. Vakakis, L.A. Bergman, D.M. McFarland. Communications in Nonlinear Science and Numerical Simulation, Vol.15, pp. 2617-2633.
- Asymptotic Analysis of Passive Suppression Mechanisms for Aeroelastic Instabilities in a Rigid Wing in Subsonic Flow 2010, O.V. Gendelman, A.F. Vakakis, L.A. Bergman, D.M. McFarland. SIAM Journal on Applied Mathematics, Vol. 70, No.5, pp. 1655-1677.
- Non-linear System Identification of the Dynamics of Aeroelastic Instability Suppression Based on Targeted Energy Transfers 2010, Y.S. Lee, A.F. Vakakis, D.M. McFarland, L.A. Bergman. The Aeronautical Journal of the Royal Aeronautical Society, Vol. 114, No. 1152, pp. 61-82.
- Tunable and Broadband Nonlinear Nanomechanical Resonator 2010. H. Cho, M.F. Yu, A.F. Vakakis, L.A. Bergman, D.M. McFarland, Nanoletters, Vol. 10, 1793-1798, DOI: 10.1021/nl100480y.
- Relaxation Oscillations, Subharmonic Orbits and Chaos in the Dynamics of a Linear Lattice with a Local Essentially Nonlinear Attachment 2010, A.F. Vakakis. Nonlinear Dynamics, Vol. 61, pp. 443-463, DOI 10.1007/s11071-010-9661-2.
- Traveling Waves and Localized Modes in One-dimensional Homogeneous Granular Chains with no Pre-compression 2010, Y. Starosvetsky, A.F. Vakakis. Physical Review E, Vol. 82, 026603, DOI: 10.1103/PhysRevE.82.026603.
- Application of Broadband Nonlinear Targeted Energy Transfers for Seismic Mitigation of a Shear Frame: Part 1. computational Results 2010, F. Nucera, D.M.McFarland, L.A. Bergman, A.F. Vakakis. Journal of sound and Vibration, Vol.329, No.15, 2973-2994.
- Nonlinear Normal Modes and Band Gaps in Granular Chains with no Pre-compression, 2010 Jayaprakash K.R., Y. Starosvetsky, A.F. Vakakis, M. Peeters, G. Kerschen. Nonlinear Dynamics, DOI: 10.1007/s11071-010-9809-0.
- Targeted Energy Transfer Between a Model Flexible Wing and a Nonlinear Energy Sink, 2010 S. Hubbard, D.M. McFarland, L.Bergman, A.F. Vakakis. AIAA J. Aircraft, Vol. 47, No. 6, pp. 1918-1931, doi: 10.2514/1.C001012.
- A Time-Domain Nonlinear System Identification Method Based on Multi-scale Dynamic Partitions, 2010, Y.S. Lee, S. Tsakirtzis, A.F. Vakakis, D.M. McFarland, L.A. Bergman. Meccanica, doi: 10.1007/s11012-010-9327-7.
2011
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Energy Harvesting from Repetitive Impulsive Loads Using Intentional Essential Nonlinearities 2011, D.D. Quinn, A. Triplett, A.F. Vakakis, L.A. Bergman, Journal of Vibration and Acoustics, Vol. 133, 011004-1, doi: 10.1115/1.4002787
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Subharmonic Orbits of a Strongly Nonlinear Oscillator Forced by Closely Spaced Harmonics 2011, T.P. Sapsis, A.F. Vakakis. Journal of Computational and Nonlinear Dynamics, Vol. 6, No. 011014-1.
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A New Family of Solitary Waves in Granular Dimmer Chains with No Pre-compression 2011, Jayaprakash K.R., Y. Starosvetsky, A.F. Vakakis, Physical Review E, Vol.83,036606, doi: 10.1103/PhysRevE.83.036606.
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A Time-Domain Nonlinear System Identification Method Based on Multi-scale Dynamic Partitions 2011, Y.S. Lee, S. Tsakirtzis, A.F. Vakakis, D.M. McFarland, L.A. Bergman, Meccanica, Vol. 46, pp. 625-649, doi: 10.1007/s11012-010-9327-7.
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Primary Wave Transmission in Systems of Elastic Rods with Granular Interfaces 2011, Y. Starosvetsky, A.F. Vakakis, Wave Motion, Vol. 48, No. 7, pp. 568-585, doi:10.1016/j.wavemoti.2011.04.006.
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Enhanced Passive Targeted Energy Transfer in Strongly Nonlinear Mechanical Oscillators, 2011, O.V. Gendelman, T. Sapsis, A.F. Vakakis, L.Bergman, Journal of Sound and Vibration (Rapid Communication), Vol. 330, No.1, pp. 1-8.
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Towards a New Type of Energy Trap: Classical Analog of Quantum Landau-Zener Tunneling 2011, L.I. Manevitch, Yu.A. Kosevich, M. Mane, G. Sigalov, L.A. Bergman, A.F. Vakakis, International Journal of Nonlinear Mechanics, Vol. 46, pp. 247-252.
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Comparing Linear and Essentially Nonlinear Vibration-Based Energy Harvesting 2011, D.D. Quinn, A.L. Triplett, L.A. Bergman, A.F. Vakakis, Journal of Vibration and Acoustics, Vol. 133, 011001-1.
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Effect of Stochasticity on Targeted Energy Transfer from a Linear Medium to a Strongly Nonlinear Attachment 2011, T.P. Sapsis, A.F. Vakakis, L.A. Bergman, Probabilistic Mechanics, Vol. 26, pp. 119-133, doi: 10.1016/j.probengmech.2010.11.006.2011.
2012
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Dynamic Instabilities in Coupled Oscillators Induced by Geometrically Nonlinear Viscous Damping 2012, D. Andersen, Y. Starosvetsky, A.F. Vakakis, L.A. Bergman, Nonlinear Dynamics, Vol. 67, No. 1, pp. 807-827, doi: 10.1007/s11071-011-0028-0.
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Dynamics of an Eccentric Rotational Nonlinear Energy Sink 2012, O.V. Gendelman, G. Sigalov, L.I. Manevitch, M. Mane, A.F. Vakakis, L.A. Bergman, Journal of Applied Mechanics, Vol. 79, 011012 – 111012-9.
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Scattering of Solitary Waves and Excitation of Transient Breathers in Granular Media by Light Intruders 2012, Y. Starosvetsky, Jayaprakash K.R., A.F. Vakakis, Journal of Applied Mechanics, Vol. 79, 011001-1 – 011001-12.
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Effective Stiffening and Damping Enhancement of Structures with Strongly Nonlinear Local Attachments 2012, T.P. Sapsis, D.D. Quinn, A.F. Vakakis, L.A. Bergman, Journal of Vibration and Acoustics, Vol. 134, No.1, 011016-1-12, doi: 10.1115/1.4005005.
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Equivalent Modal Damping, Stiffening and Energy Exchanges in Multi Degree-of-Freedom Systems with Strongly Nonlinear Attachments 2012. D.D. Quinn, S. Hubbard, N. Wierschem, M.A. Al-Shudeifat, R.J. Ott, B.F. Spencer Jr., D.M. McFarland, A.F. Vakakis, L.A. Bergman, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, doi: 10.1177/1464419311432671.
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Strongly Nonlinear Beat Phenomena and Energy Exchanges in Weakly Coupled Granular Chains on Elastic Foundations 2012, Y. Starosvetsky, M.A. Hasan, A.F. Vakakis, L.I. Manevitch, SIAM Journal on Applied Mathematics, Vol.72, No.1, 337-361.
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Alternation of Regular and Chaotic Dynamics in a Simple Two-Degree-of-Freedom System with Nonlinear Inertial Coupling 2012, G. Sigalov, O.V. Gendelman, M. Al-Shudeifat, L.I. Manevitch, A.F. Vakakis, L.A. Bergman, Chaos, Vol.22, 013118, doi: 10.1063/1.3683480.
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Resonance Captures and Targeted Energy Transfers in an Inertially Coupled Rotational Nonlinear Energy Sink 2012, G. Sigalov, O.V. Gendelman, M. Al-Shudeifat, A.F. Vakakis, L.A. Bergman, Nonlinear Dynamics, Vol.69, No.4, 1693-1704, doi: 10.1007/s11071-012-0379-1.2012.
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Non-resonant Damped Transitions Resembling Continuous Resonance Scattering in Coupled Oscillators with Essential Nonlinearities 2012, D. Andersen, Y. Starosvetsky, M. Mane, S. Hubbard, K. Remick, X. Wang, A.F. Vakakis, L.A. Bergman, Physica D, Vol. 241, 964-975.
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Effective Particles and Classification of Periodic Orbits of Homogeneous Granular Chains with No Pre-compression 2012, Y. Starosvetsky, K.R. Jayaprakash, A.F. Vakakis, L.I. Manevitch, Physical Review E, Vol. 85(3), 036606, doi: 10.1103/PhysRevE.85.036606.
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Nonlinear Hardening and Softening Resonances in Micromechanical Cantilever-Nanotube Systems Originated from Nanoscale Geometric Nonlinearities 2012, H. Cho, B. Jeong, M.-F. Yu, A.F. Vakakis, D.M. McFarland, L.A. Bergman, International Journal of Solids and Structures, Vol. 49, No.15-16, 2059-2065.
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Dynamics of Microcantilever Integrated with Geometric Nonlinearity for Stable and Broadband Nonlinear Atomic Force Microscopy 2012, H. Cho, M.-F. Yu, A.F. Vakakis, L.A. Bergman, D.M. McFarland, Surface Science (Letter), Vol. 606, L74-L78, doi: 10.1016/j.susc.2012.05.009.
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Solitary Waves in a General Class of Granular Dimer Chains 2012, K.R. Jayaprakash, A.F. Vakakis, Y. Starosvetsky, Journal of Applied Physics, Vol. 112, 034908, doi: 10.1063/1.4740060.
- Nonlinear System Identification of the Dynamics of a Vibro-Impact Beam: Numerical Results 2012, M. Kurt, H. Chen, Y.S. Lee, D.M. McFarland, L.A. Bergman, A.F. Vakakis. Accepted for publication, Archive of Applied Mechanics (Ingenieur Archiv), doi: 10.1007/s00419-012-0678-5
- Passive Damping Enhancement of a Two-degree-of-freedom System Through a Strongly Nonlinear Two-degree-of-freedom Attachment 2012, N.E. Wierschem, D.D. Quinn, S.A. Hubbard, M.A. Al-Shudeifat, D.M. McFarland, J. Luo, L.A. Fahnestock, B.F. Spencer, Jr., A.F. Vakakis, L.A. Bergman, Journal of Sound and Vibration, Vol. 331, No.25, 5393-5407.
- Experimental Study of Strongly Nonlinear Resonances and Anti-Resonances in Granular Dimer Chains 2012, R. Potekin (*), K.R. Jayaprakash, D.M. McFarland, K. Remick, L.A. Bergman, A.F. Vakakis, Experimental Mechanics, doi: 10.1007/s11340-012-9673-6.
2013
- Atomic Force Microscope Infrared Spectroscopy on 15 Nanometer Scale Polymer Nanostructures 2013, J. Felts, H. Cho, M.-F. Yu, L.A. Bergman, A.F. Vakakis, W. King, Review of Scientific Instruments, Vol. 84, 023709, doi: 10.1063/1.4793229.
- Energy Equipartition in Two-dimensional Granular Systems with Light Spherical Intruders 2013, I. Szelengowicz, M.A. Hasan, Y. Starosvetsky, A. Vakakis, C. Daraio, Physical Review E, Vol. 87, No.3, 032204, doi: 10.1103/PhysRevE.87.032204.
- Numerical and Experimental Investigation of a Highly Effective Single-Sided Vibro-Impact Nonlinear Energy Sink for Shock Mitigation 2013, M.A. Al-Shudeifat, N. Wierschem, D.D. Quinn, A.F. Vakakis, L.A. Bergman, International Journal of Nonlinear Mechanics, Vol. 52, 96-109.
- Reduced-Order Model for Laminar Vortex-Induced Vibration of a Rigid Circular Cylinder with an Internal Nonlinear Absorber 2013, R.K.R. Tumkur, E. Domany, O.V. Gendelman, L.A. Bergman, A.F. Vakakis, A. Masud, Communications in Nonlinear Science and Numerical Simulation, Vol. 18, 1916-1930.
- Nonlinear Resonances Leading to Strong Pulse Attenuation in Granular Dimer Chains 2013, K.R. Jayaprakash, Y. Starosvetsky, A.F Vakakis, O.V. Gendelman, Journal of Nonlinear Science, Vol. 23, No.3, 363-392, doi: 10.1007/s00332-012-9155-0.
- Nonlinear Resonances in a General Class of Granular Dimers 2013, K.R. Jayaprakash, A.F. Vakakis, Y. Starosvetsky. Granular Matter, doi: 10.1007/s10035-013-0404-1.
- Nonlinear Pulse Equi-partition in Weakly Coupled Ordered Granular Chains with no Pre-Compression 2013, Y. Starosvetsky, K.R. Jayaprakash, A.F. Vakakis, Technical Note, Journal of Computational and Nonlinear Dynamics, Vol. 8, 034504-1 – 034504-6, also arXiv:1109.5625v1 [nlin.PS], http://arxiv.org/abs/1109.5625.
- Nonlinear System Identification of Frictional Effects in a Beam with a Bolted Joint Connection 2013, M. Eriten, M. Kurt, G. Luo (*), D.M. McFarland, L.A. Bergman, A.F. Vakakis, Journal of Mechanical Systems and Signal Processing, doi: 10.1016/j.ymssp.2013.03.003i.
- Nonlinear Targeted Energy Transfer and Macroscopic Analogue of the Quantum Landau-Zener Effect in Coupled Granular Chains 2013, M.A. Hasan, Y. Starosvetsky, A.F. Vakakis, L.I. Manevitch, Physica D, Vol.252, 46-58.
- Strongly Nonlinear Traveling Waves in Granular Dimer Chains 2013, K.R. Jayaprakash, A.F. Vakakis, Y. Starosvetsky. Journal of Mechanical Systems and Signal Processing (Special issue on ‘Traveling Waves in Mechanical Structures, Sensing, Control, Identification and Applications’), Vol. 39, No. 1-2, 91-107, doi: 10.1016/j.ymssp.2012.04.018.
- Computational Study of Vortex-Induced Vibrations of a Sprung Rigid Circular Cylinder with a Strongly Nonlinear Internal Attachment 2013, R.K.R. Tumkur, R. Calderer, A. Masud, L.A. Bergman, A.J. Pearlstein, A.F. Vakakis, Journal of Fluids and Structures, Vol.40, 214-232.
- Improved Atomic Force Microscope Infrared Spectroscopy for Rapid Nanometer-Scale Chemical Identification 2013, H. Cho, J.R. Felts, M.-F. Yu, L.A. Bergman, A.F. Vakakis, W.P. King. Nanotechnology (Special issue on Sensing at the Nanoscale), Vol. 24, 444007-444014, doi:10.1088/0957-4484/24/44/444007.
- Primary Pulse Transmission in Coupled Steel Granular Chains Embedded in PDMS Matrix: Experiment and Modeling 2013, M.A. Hasan, S. Cho, K. Remick, A.F. Vakakis, D.M. McFarland, W.M. Kriven, International Journal of Solids and Structures, Vol. 50, 3207–3224.
- The Effect of Slow Flow Dynamics on the Oscillations of a Singular Damped System with an Essentially Nonlinear Attachment 2013, J.O. Maaita, E. Meletlidou, A.F. Vakakis, V. Rothos, Journal of Applied Nonlinear Dynamics, Vol. 2, No. 4, 315-328.
- Modeling and Measurement of Geometrically Nonlinear Damping in a Microcantilever-Nanotube System 2013, B. Jeong, H. Cho, M.-F. Yu, A.F. Vakakis, D.M. McFarland, L.A. Bergman. ACS Nano, Vol. 7, No. 10, 8547–8553, doi: 10.1021/nn402479d.
- Frequency Bands of Strongly Nonlinear Finite Homogeneous Granular Chains 2013, J. Lyndon, K.R. Jayaprakash, D. Ngo, Y. Starosvetsky, A.F. Vakakis, C. Daraio, Physical Review E, Vol. 88, 012206-1 – 012206-9.
2014
- Realization of a Strongly Nonlinear Shock Mitigation Device using Elastomeric Bumpers 2014, J. Luo, N.E. Wierschem, L.A. Fahnestock, L.A. Bergman, B.F. Spencer Jr., M. AL-Shudeifat, D.M. McFarland, D.D. Quinn, A.F. Vakakis, Journal of Engineering Mechanics, doi: 10.1061/(ASCE)EM.1943-7889.0000692, 04014009-1 – 04014009-11.
- Sustained High-Frequency Dynamic Instability of a Nonlinear System of Coupled Oscillators Forced by Single or Repeated Impulses: Theoretical and Experimental Results 2014, K. Remick, A.F. Vakakis, L.A. Bergman, D.M. McFarland, D.D. Quinn, T. Sapsis, Journal of Vibration and Acoustics, Vol. 136, No. 1, 011013-1 – 011013-15.
- Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Analytical Study 2014, L.I. Manevitch, G. Sigalov, F. Romeo, L.A. Bergman and A. Vakakis, Journal of Applied Mechanics, Vol. 81, No. 4, 041011, doi: 10.1115/1.4025150.
- Tailoring Strongly Nonlinear Negative Stiffness 2014, F. Liu, S. Theodossiades, M.D. McFarland, A.F. Vakakis, L.A. Bergman, Journal of Mechanical Design (Technical Brief), Vol. 136, No. 2, 0245501, doi: 10.1115/1.4025794.
- Experimental System Identification of the Dynamics of a Vibro-Impact Beam with a View Towards Structural Health Monitoring and Damage Detection 2014, H. Chen, M. Kurt, Y.S. Lee, D.M. McFarland, L.A. Bergman, A.F. Vakakis, Journal of Mechanical Systems and Signal Processing, Vol. 46, 91-113, doi: 10.1016/j.ymssp.2013.12.014.
- Experimental Testing and Numerical Simulation of a Six-Story Structure Incorporating a Two Degree of Freedom Nonlinear Energy Sink 2014, N.E. Wierschem, J. Luo, M. AL-Shudeifat, S. Hubbard, R. Ott, L.A. Fahnestock, D.D. Quinn, D.M. McFarland, B.F. Spencer Jr., A.F. Vakakis, L.A. Bergman, ASCE Journal of Structural Engineering, doi: 10.1061/(ASCE)ST.1943-541X.0000978, 04014027.
- Influence of System Parameters on Dynamic Behavior of Gear Pair with Stochastic Backlash 2014, J.-W. Lu, H. Chen, F.-L. Zeng, A.F. Vakakis, L.A. Bergman, Meccanica, doi: 10.1007/s11012-013-9803-y.
- Classification of Periodic Orbits of Two-Dimensional Homogeneous Granular Crystals with No Pre-Compression 2014, T. Detroux, Y. Starosvetsky, G. Kerschen, A.F. Vakakis, Nonlinear Dynamics, Vol. 76, 673-696, doi: 10.1007/s11071-013-1160-9.
- The Dynamics of the Slow Flow of a Singular Damped Nonlinear System and its Parametric Study 2014, J.O. Maaita, E. Meletlidou, A.F. Vakakis, V. Rothos, Journal of Applied Nonlinear Dynamics, Vol. 3, No. 1, 37–49.
- Design, Simulation, and Large-scale Testing of an Innovative Vibration Mitigation Device Employing Essentially Nonlinear Elastomeric Springs 2014, J. Luo, N.E. Wierschem, L.A. Fahnestock, B.F. Spencer Jr., D.D. Quinn, D.M. McFarland, A.F. Vakakis, L.A. Bergman, Journal of Earthquake Engineering and Structural Dynamics, Vol. 43, 1829–1851, doi: 10.1002/eqe.2424.
- Sustained High-Frequency Energy Harvesting Through a Strongly Nonlinear Electromechanical System under Single and Repeated Impulsive Excitations 2014, K. Remick, H.K. Joo, D.M. McFarland, T. Sapsis, L.A. Bergman, D.D. Quinn, A.F. Vakakis, Journal of Sound and Vibration, Vol. 333, 3214–3235.
- Effect of 1:3 Resonance on the Steady State Dynamics of a Forced Strongly Nonlinear Oscillator with a Linear Light Attachment 2014, M. Kurt, I. Slavkin, M. Eriten, D.M. McFarland, O.V. Gendelman, L.A. Bergman, A.F. Vakakis, Archive of Applied Mechanics, Vol. 84, 1189-1203, doi: 10.1007/s00419-014-0877-3.
- Transonic Aeroelastic Instability Suppression for a Swept Wing by Nonlinear Targeted Energy Transfer 2014, S.A. Hubbard, R.L. Fontenot, D.M. McFarland, P.G.A. Cizmas, L.A. Bergman, T.W. Strganac, A.F. Vakakis, AIAA J. Aircraft, Vol. 51, No. 5, 1467-1482, doi: 10.2514/1.C032339.
- Silicon Nano-Mechanical Resonators Fabricated using Tip-based Nanofabrication 2014, H. Hu, H. Cho, S. Somnath, A.F. Vakakis, W.P. King, Nanotechnology, Vol. 25, 275301, doi:10.1088/0957-4484/25/27/275301.
- Strongly Nonlinear Beats in the Dynamics of a Cantilever Beam with a Nonlinear Spring: Analysis and Identification 2014, M. Kurt, M. Eriten, D.M. McFarland, L.A. Bergman, A.F. Vakakis, Journal of Sound and Vibration, Vol. 333, No. 7, 2054-2072.
- Dynamics of a Linear Oscillator Coupled to a Bistable Light Attachment: Numerical Study 2014, F. Romeo, G. Sigalov, L.A. Bergman, A.F. Vakakis, Journal of Computational and Nonlinear Dynamics, Vol. 10, 011007-1 – 011007-13.
- Large-Scale Experimental Evaluation of a System of Nonlinear Energy Sinks for Seismic Mitigation 2014, J. Luo, N.E. Wierschem, S.A. Hubbard, L.A. Fahnestock, D.D. Quinn, D.M. McFarland, B.F. Spencer Jr., A.F. Vakakis, L.A. Bergman, Engineering Structures, Vol. 77, 34-48.
- Complex Dynamics in the Limit of Weak Coupling of a System of Microcantilevers Connected by a Geometrically Nonlinear Tunable Nanomembrane 2014, B. Jeong, H. Cho, H. Keum, S. Kim, D.M. McFarland, L.A. Bergman, W.P. King, A.F. Vakakis, Nanotechnology, Vol. 25, No. 46, 465501.
- Nonlinear Oscillatory Acoustic Vacuum 2014, L.I. Manevitch, A.F. Vakakis, SIAM Journal on Applied Mathematics, Vol. 74, No.6, 1742-1762.
- Interactions of Waves Propagating in a One-dimensional Chain of Linear Oscillators with a Strongly Nonlinear Local Attachment 2014, A.F. Vakakis, M.A. AL-Shudeifat, M.A. Hasan, Meccanica, Vol. 49, 2375-2397, doi: 10.1007/s11012-014-0008-9.
- Frequency-Energy Plots of Steady State Solutions for Forced and Damped Systems and Vibration Isolation by Nonlinear Mode Localization 2014, M. Kurt, M. Eriten, D.M. McFarland, L.A. Bergman, A.F. Vakakis, Communications in Nonlinear Science and Numerical Simulation, Vol. 19, No. 8, 2905-2917.
- Targeted Energy Transfer Between a Wind-tunnel Model Wing and a Winglet-housed Nonlinear Energy Sink 2014, S.A. Hubbard, D.M. McFarland, L.A. Bergman, A.F. Vakakis, G. Andersen, AIAA Journal, Vol. 52, No. 12, 2633-2651.
Invited Review and Tutorial Papers
2010
- A Global-Local Approach to System Identification: A Review. 2010. Y.S. Lee, A.F. Vakakis, D.M. McFarland, L.A. Bergman. Invited Paper, Journal of Structural Control and Health Monitoring (in honor of Prof. George W Housner), Vol. 17, No. 7, pp. 742-760.
2011
- Current Efforts Towards A Nonlinear System Identification Methodology of Broad Applicability 2011. A.F. Vakakis, L.A. Bergman, D.M. McFarland, Y.S. Lee, M. Kurt, Invited Forward Look Article, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol.225, pp. 2497-2515.
Chapters or Articles in Books
2012
- Analytical Techniques for Nonlinear Periodic Media, A.F. Vakakis. Contributed chapter in Wave Propagation in Linear and Nonlinear Periodic Media, F. Romeo and M. Ruzzenne (eds.), International Center for Mechanical Sciences (CISM) Courses and Lectures, Springer Verlag, Berlin and New York, ISBN 978-3-7091-1308-0, 2012.