Publications: 2005-2009

Journal Publications

(*) Undergraduate student at the time of submission.

2005

  • Effect of Pressure Distribution on Energy Dissipation in a Mechanical Lap Joint 2005. Y. Song, D.M. McFarland, L.A. Bergman, A.F. Vakakis. AIAA Journal, Vol. 43, No. 2, pp. 420-425.
  • Experimental Study of Nonlinear Energy Pumping Occurring at a Single Fast Frequency 2005, D.M. McFarland, L.A. Bergman, A.F. Vakakis. International Journal of Non-Linear Mechanics, Vol. 40, pp. 891-899.
  • Seismic Base Isolation by Nonlinear Mode Localization 2005. Y. Wang, D.M. McFarland, A.F. Vakakis, L.A. Bergman. Archive of Applied Mechanics (Ingenieur Archiv), Vol. 74, No.5-6, pp. 387-414.
  • Multi-Frequency Nonlinear Energy Transfer From Linear Oscillators to MDOF Essentially Nonlinear Attachments 2005. S. Tsakirtzis, G. Kerschen, P.N. Panagopoulos, A.F. Vakakis. Short Communication, Journal of Sound and Vibration, Vol. 285, pp. 483-490.
  • Complicated Dynamics of a Linear Oscillator with a Light, Essentially Nonlinear Attachment 2005. Y.S. Lee, G. Kerschen, A.F. Vakakis, P.N. Panagopoulos, L.A. Bergman, D.M. McFarland. Physica D, Vol. 204, No. 1-2, pp. 41-69.
  • Shock Isolation Through Passive Energy Pumping Caused by Non-smooth Nonlinearities 2005. F. Georgiadis, A.F. Vakakis, D.M. McFarland, L.A. Bergman. International Journal of Bifurcation and Chaos (Special Issue on ‘Non-smooth Dynamical Systems: Recent Trends and Perspectives’), Vol. 15, No. 6, pp. 1-13.
  • Experimental Investigation of Targeted Energy Transfers In Strongly and Nonlinearly Coupled Oscillators 2005. D.M. McFarland, G. Kerschen, J. Kowtko, Y.S. Lee, L.A. Bergman, A.F. Vakakis. Journal of the Acoustical Society of America, Vol. 118, No. 2, pp. 791-799.
  • Triggering Mechanisms of Limit Cycle Oscillations Due to Aeroelastic Instability 2005. Y.S. Lee, A.F. Vakakis, L.A. Bergman, D.M. McFarland, G. Kerschen. Journal of Fluids and Structures (Special Issue celebrating the 70th birthday of Professor Michael Paidoussis), Vol. 21, pp. 485-529.
  • Energy Transfers in a System of Two Coupled Oscillators with Essential Nonlinearity: 1:1 Resonance Manifold and Transient Bridging Orbits 2005. G. Kerschen, A.F. Vakakis, Y.S. Lee, D.M. McFarland, J. Kowtko, L.A. Bergman. Nonlinear Dynamics, Vol. 42, No.3, pp. 283-303.
  • Stick-Slip-Slap Interface Response Simulation: Formulation and Application of a General Joint/Interface Element, 2005. Y. Song, D.M.McFarland, L.A.Bergman, A.F.Vakakis. Computer Modeling in Engineering & Sciences (C.J. Astill Memorial Edition), Vol.10, No.2, pp. 153-170.

2006

  • Irreversible Passive Energy Transfer in Coupled Oscillators with Essential Nonlinearity 2006. G. Kerschen, Y.S. Lee, A.F. Vakakis, D.M. McFarland, L.A. Bergman. SIAM Journal on Applied Mathematics, Vol. 66, No.2, pp. 648-679.
  • Suppression of Limit Cycle Oscillations in the Van der Pol Oscillator by means of Passive Nonlinear Energy Sinks (NESs) 2006. Y.S. Lee, A.F. Vakakis, L.A. Bergman, D.M. McFarland. Journal of Structural Control and Health Monitoring (Special Issue to honor the memory of Professor Thomas K. Caughey), Vol. 13, No.1, pp. 41-75.
  • Some Results On the Dynamics of the Linear Parametric Oscillator with General Time-Varying Frequency 2006. P. Kourdis (*), A.F. Vakakis. Applied Mathematics and Computation, Vol. 183, pp. 1235-1248.

2007

  • Theoretical and Experimental Study of Multimodal Targeted Energy Transfer in a System of Coupled Oscillators 2007. G. Kerschen, J. Kowtko, D.M. McFarland, L.A. Bergman, A.F. Vakakis. Nonlinear Dynamics (special issue in honor of the 60th birthday of Prof. G.Rega), Vol. 47, Nos.1-3, pp. 285-309.
  • Experimental Demonstration of Transient Resonance Capture in a System of Two Coupled Oscillators with Essential Stiffness Nonlinearity 2007. G. Kerschen, D.M. McFarland, J. Kowtko, Y.S. Lee, L.A. Bergman, A.F. Vakakis. Journal of Sound and Vibration, Vol. 299, No.4-5, pp. 822-838.
  • Dynamics of a Linear Beam with an Attached Local Nonlinear Energy Sink 2007. F. Georgiades, A.F. Vakakis. Communications in Nonlinear Science and Numerical Simulation (Short Communication), Vol. 12, No.5, pp. 643-561.
  • Targeted Energy Transfers in Vibro-Impact Oscillators for Seismic Mitigation 2007. F. Nucera, A.F. Vakakis, D.M.McFarland, L.A. Bergman, G. Kerschen, Nonlinear Dynamics (Special issue on ‘Discontinuous Dynamical Systems’), Vol. 50, pp. 651-677 (DOI 10.1007/s11071-006-9189-7).
  • Robustness of Targeted Energy Transfer in Coupled Oscillators to Changes of Initial Conditions 2007. P.N. Panagopoulos, O. Gendelman, A.F. Vakakis. Nonlinear Dynamics, Vol. 47, pp. 377-387.
  • Suppression of Aeroelastic Instability by Means of Broadband Passive Targeted Energy Transfers, Part I: Theory 2007. Y.S. Lee, A.F. Vakakis, L.A. Bergman, D.M. McFarland, G. Kerschen. AIAA Journal, Vol. 45, No. 3, pp. 693-711.
  • Complex Dynamics and Targeted Energy Transfer in Systems of Linear Oscillators Coupled to Multi-degree-of-freedom Essentially Nonlinear Attachments 2007. S. Tsakirtzis, P.N. Panagopoulos, G. Kerschen, O. Gendelman, A.F. Vakakis, L.A. Bergman. Nonlinear Dynamics, Vol. 48, pp. 285-318.
  • Broadband Energy Exchanges Between a Dissipative Elastic Rod and a Multi-degree-of-freedom Dissipative, Essentially Nonlinear Attachment 2007. S. Tsakirtzis, A.F. Vakakis, P.N. Panagopoulos. International Journal of Nonlinear Mechanics (Special Issue on ‘Dissipative Nonlinear Systems’), Vol. 42, No. 1, pp. 36-57.
  • Broadband Passive Targeted Energy Transfer from a Linear Dispersive Rod to a Lightweight Essentially Nonlinear End Attachment 2007. F. Georgiades, A.F. Vakakis, G. Kerschen. International Journal of Nonlinear Mechanics, Vol. 42, pp. 773-788.
  • Multi-scaled Analysis of the Damped Dynamics of an Elastic Continuum with an Essentially Nonlinear End Attachment 2007. P.N. Panagopoulos, F. Georgiades, S. Tsakirtzis, A.F. Vakakis, L.A. Bergman. International Journal of Solids and Structures, Vol. 44, pp. 6256-6278.
  • Suppression of Aeroelastic Instability by Means of Broadband Passive Targeted Energy Transfers, Part II: Experiments 2007. Y.S. Lee, G. Kerschen, D.M. McFarland, W.J. Hill, C. Nichkawde, T.W. Strganac, L.A. Bergman, A.F. Vakakis. AIAA Journal, Vol. 45, No.12, pp. 2391-2400.

2008

  • Karhunen – Loeve Analysis and Order Reduction of the Transient Dynamics of Linear Coupled Oscillators with Strongly Nonlinear End Attachments 2008. X. Ma, A.F. Vakakis, L.A. Bergman, Journal of Sound and Vibration, Vol. 309, 569-587.
  • Impulsive Periodic and Quasiperiodic Orbits in a System of Coupled Oscillators with Essential Stiffness Nonlinearity 2008. O. Gendelman, G. Kerschen, A.F. Vakakis, L. Bergman, D.M. McFarland. Communications in Nonlinear Science and Numerical Simulation, Vol. 13, No. 5, pp. 959-978.
  • Toward a Fundamental Understanding of the Hilbert-Huang Transform in Nonlinear Structural Dynamics 2008. G. Kerschen, A.F. Vakakis, Y.S. Lee, D.M. McFarland, L.A. Bergman, Journal of Vibration and Control (Special issue on the occasion of the 60th birthday of Prof. Fabrizio Vestroni), Vol. 14, pp. 77-105.
  • Efficiency of Targeted Energy Transfers in Coupled Nonlinear Oscillators Associated with 1:1 Resonance Captures: Part I 2008. D.D. Quinn, O. Gendelman, G. Kerschen, T. Sapsis, L.A. Bergman, A.F. Vakakis, Journal of Sound and Vibration, Vol. 311, pp. 1228-1248.
  • Application of Broadband Nonlinear Targeted Energy Transfers for Seismic Mitigation of a Shear Frame: Part II. Experimental Results 2008, F. Nucera, F. Lo Iacono, D.M.McFarland, L.A. Bergman, A.F. Vakakis, Journal of Sound and Vibration, Vol. 313, pp. 57-76.
  • Enhancing Robustness of Aeroelastic Instability Suppression Using Multi-Degree-of-Freedom Nonlinear Energy Sinks 2008, Y.S. Lee, A.F. Vakakis, L.A. Bergman, D.M. McFarland, G. Kerschen, AIAA Journal, Vol. 46, No.6, pp. 1371-1394.
  • Vibro-impact Attachments as Shock Absorbers, I. Karayannis, A.F. Vakakis, F. Georgiades, 2008. Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, Special issue on Vibro-impact Systems (V. Babitsky editor), Vol. 222 (C10), pp. 1899-1908.

2009

  • Using Passive Nonlinear Targeted Energy Transfer to Stabilize Drill-String Systems 2009. R. Viguie, G. Kerschen, J.C. Golinval, D.M. McFarland, L.A. Bergman, A.F. Vakakis, N. van de Wouw. Journal of Mechanical Systems and Signal Processing (Special Issue on ‘Nonlinear Structural Dynamics’), Vol. 23, No. 1, pp. 148-169.
  • Passive Targeted Energy Transfers and Strong Modal Interactions in the Dynamics of a Thin Plate with Strongly Nonlinear End Attachments 2009, F. Georgiades, A.F. Vakakis. International Journal of Solids and Structures, doi: 10.1016/j.ijsolstr.2009.01.020.
  • Periodic Orbits, Damped Transitions and Targeted Energy Transfers in Oscillators with Vibro-Impact Attachments 2009, Y.S. Lee, F. Nucera, A.F. Vakakis, D.M. McFarland, L.A. Bergman. Physica D, Vol.238, No. 18, pp.1868-1896, doi:10.1016/j.physd.2009.06.013.
  • Physics-Based Foundation for Empirical Mode Decomposition: Correspondence Between Intrinsic Mode Functions and Slow Flows 2009, Y.S. Lee, S. Tsakirtzis, A.F. Vakakis, D.M. McFarland, L.A. Bergman. AIAA Journal, Vol.47, No.12, pp. 2938-2963.
  • Dynamic Interaction of Traveling Waves Propagating in an Infinite Linear Chain with a Local Essentially Nonlinear Attachment 2009. V. Rothos, A.F. Vakakis, Wave Motion, Vol. 46, pp.174-188.
  • Efficiency of Targeted Energy Transfers in Coupled Nonlinear Oscillators Associated with 1:1 Resonance Captures: Part II, Analytical Study. T. Sapsis, A.F. Vakakis, O.V. Gendelman, L.A. Bergman, G. Kerschen, D.D. Quinn, Accepted for publication, Journal of Sound and Vibration, Vol. 325, pp. 297-320, doi:10.1016/j.jsv.2009.03.004.
  • Mitigating the Effect of Impact Loading on a Vehicle Using an Essentially Nonlinear Absorber 2009, D. Wang, Y.S. Lee, D.M. McFarland, L.A. Bergman, A.F. Vakakis. Accepted for publication, Vehicle System Dynamics, International Journal of Vehicle Mechanics and Mobility, Vol. 47, No. 10, 1183-1204.
  • Nonlinear System Identification of the Dynamics of an Elastic Rod with an Essentially Nonlinear Attachment 2009, S. Tsakirtzis, Y.S. Lee, A.F.Vakakis, L.A. Bergman, D.M. McFarland. Communications in Nonlinear Science and Numerical Simulation, doi:10.1016/j.cnsns.2009.10.014.

Invited Review and Tutorial Papers

2005

  • The Method of Proper Orthogonal Decomposition for Order Reduction of Mechanical Systems: An Overview 2005. G. Kerschen, J.-C. Golinval, A.F. Vakakis, L.A. Bergman. Nonlinear Dynamics [Special issue on ‘Reduced Order Models: Methods and Applications,’ G. Rega and H. Troger (eds.)], Vol. 41, No.1-3, pp. 147-170.
  • Past, Present and Future of Nonlinear System Identification in Structural Dynamics 2005. G. Kerschen, K. Worden, A.F. Vakakis, J.-C. Golinval. Invited paper, Journal of Mechanical Systems and Signal Processing, Vol. 20, No.3, pp. 505-592.

2006

  • An Overview of the Minisymposium on ‘Extreme Ship Dynamics’ Presented at the 2005 SIAM Conference on Applications of Dynamical Systems 2006. L. McCue, L. Alford, W. Belknap, G. Bulian, L. Delorme, A. Francescutto, C. Lugni, A. Troesch, A. Vakakis. Marine Technology and SNAME News, Vol. 43, No.1, pp.55-61.

2008

  • Passive Nonlinear Targeted Energy Transfer (Energy Pumping) and its Applications to Vibration Absorption: A Review 2008. Y.S. Lee, A.F. Vakakis, L.A. Bergman, D.M. McFarland, G. Kerschen, F. Nucera. Invited review paper, Proceedings of the Institution of Mechanical Engineers, Vol. 222, Part K: Journal of Multi-body Dynamics, Vol. 118, pp. 78-134.

2009

  • Nonlinear Normal Modes, Part I: A Useful Framework for the Structural Dynamicist 2009. G. Kerschen, M. Peeters, J.C. Golinval, A.F. Vakakis. Invited paper, Journal of Mechanical Systems and Signal Processing, Vol. 23, No. 1, pp. 170-194.

Research Monographs and Books Edited

2008

2009