Faculty Profile

Alexander F Vakakis

Mechanical Science and Engineering
Alexander F Vakakis
Alexander F Vakakis
Grayce Wicall Gauthier Professor
3003 Mechanical Engineering Lab
105 S. Mathews
Urbana Illinois 61801
(217) 333-3048

Primary Research Area

  • Dynamics & Controls

Education

  • PhD in Applied Mechanics, Department of Applied Mechanics, California Institute of Technology, 1990
  • MSc in Advanced Applied Mechanics, Diploma of Imperial College, Department of Mechanical Engineering, Imperial College of Science and Technology, University of London, 1985
  • Diploma Degree of Mechanical Engineering, Department of Mechanical Engineering, University of Patras, Greece, 1984

Academic Positions

  • Affiliate Professor, Department of Aerospace Engineering, UIUC, August 2008-date
  • W. Grafton and Lillian B. Wilkins Professor, Department of Mechanical Engineering, UIUC, August 2008-July 2013
  • Adjunct Professor, Department of Aerospace Engineering, UIUC, August 2004-August 2008
  • Adjunct Professor, Department of Mechanical Science and Engineering, August 2001-August 2008
  • Professor, Department of Applied Mathematical and Physical Sciences, National Technical University of Athens, 2001-2008
  • Faculty Fellow, Department of Theoretical & Applied Mechanics, UIUC, 1999-2001
  • Professor, Department of Mechanical and Industrial Engineering (100%), UIUC, August 1999 - August 2001
  • Visiting Professor, Department of Civil Engineering, National Technical University, Athens, Greece (during sabbatical leave), September 1996-January 1997
  • Associate Professor, Department of Mechanical and Industrial Engineering (100%), UIUC, August 1995 - August 1999
  • Assistant Professor, Department of Mechanical and Industrial Engineering (100%), UIUC, August 1990￿August 1995
  • Executive Teaching Assistant, Department of Applied Mechanics, California Institute of Technology, October 1989-June 1990
  • Research Assistant, Department of Applied Mechanics, California Institute of Technology, June 1989-October 1989
  • Teaching Assistant, Department of Applied Mechanics, California Institute of Technology, October 1987-June 1988

For more information

Other Professional Employment

  • Research Assistant, Research Center for National Defense, Athens, Greece, March 1986-Sept 1987 (during military conscription in the Hellenic Army)

Major Consulting Activities

  • NES Technologies, Inc., 2003 ￿ date, Principal, Vice President and Member of the Board of Directors.

Short Courses

  • Targeted Energy Transfer in Nonlinear Dynamical Systems and Nonlinear System Identification of Broad Applicability, A.F. Vakakis (organizer) and D.M. McFarland, Air Force Research Laboratory (AFRL) Workshop, Dayton, OH, August 10-12, 2009.
  • Vibration Testing and Identification of Linear and Nonlinear Systems, J.-C. Golinval and G. De Roeck (co-ordinators). Seven lectures on fundamentals of nonlinear dynamics, Stability, Identification and Control in Nonlinear Structural Dynamics (SICON) short course, Marie Curie Action (European Commission), University of Liege, Liege, July 6-10, 2009.
  • Nonlinear Normal Modes: A Useful Framework for the Structural Dynamicist, G. Kerschen, M. Peeters and A.F. Vakakis. Preconference Course 105, 27th International Modal Analysis Conference ￿ IMAC-XXVII, Orlando, FL, February 8, 2009.
  • Advanced Nonlinear Strategies for Vibration Mitigation and System Identification, A.F. Vakakis (co-ordinator), L.A. Bergman, D.M.McFarland, O. Gendelman, L.I. Manevitch, G. Kerschen. International Centre for Mechanical Sciences (CISM) Course, Udine, Italy, June 16-20, 2008.

Research Areas

  • Applied Physics
  • Computation and Applied Math
  • Dynamics & Controls
  • Energy
  • Manufacturing
  • Security and Defende
  • Security and Defense
  • Solid Mechanics
  • Transportation

Books Authored or Co-Authored (Original Editions)

Books Edited or Co-Edited (Original Editions)

Chapters in Books

  • Manevitch, L., and A. F. Vakakis, ￿Exact Solutions for a Discrete System Undergoing Free Vibro-impact Oscillations,￿ Dynamics of Vibro-Impact Systems, V.I. Babitsky, ed., Springer Verlag, Berlin, Heidelberg, New York, 2001.
  • Vakakis, A. F., ￿Nonlinear Vibrations: Nonlinear Normal Modes,￿ Encyclopedia of Vibration, S. G. Braun, D. J. Ewins, S. S. Rao, eds., Academic Press, London, 2001.
  • Salenger, G. D. and A. F. Vakakis, ￿Spatially Localized and Chaotic Motions of a Discretely Supported Elastic Continuum,￿ New Applications of Nonlinear and Chaotic Dynamics in Mechanics (IUTAM), F.C. Moon, ed., Kluwer Academic Publishers, New York, 1999.
  • Pilipchuk, V. N. and A. F. Vakakis, "Nonlinear Normal Modes and Wave Transmission in a Class of Periodic Continuous Systems," Dynamics and Control of Distributed Systems, H. S. Tzou and L. A. Bergman, eds., Cambridge University Press, 1998.
  • Georgiou, I. T. and A. F. Vakakis, ￿Solitary and Chaotic Waves in the Dynamics of a Stiff-Soft Periodic Array of Oscillator-Pendulum Units,￿ contributed paper in Problems of Nonlinear Mechanics, Volume in Honor of the 60th Birthday of Professor Leonid I. Manevitch, A. I. Manevitch, ed., Publishing Office of Pridneprovsk Academy of Civil Engineering and Architecture, Dnepropetrovsk, Ukraine, 1998.
  • King, M. E., J. Aubrecht, and A. F. Vakakis, "Two Applications of Nonlinear Normal Modes in Vibration Theory," Nonlinear Dynamics, The Richard Rand 50th Birthday Volume, A. Guran, ed., World Scientific Publisher, Singapore 1997.
  • Vakakis, A. F., "Nonlinear Mode Localization and Passive Motion Confinement in Discrete and Continuous Oscillators," Wave Motion Intelligent Structures and Nonlinear Mechanics, D. Inman and A. Guran editors, World Scientific Publisher, 1, 1-34, 1995.

Selected Articles in Journals

  • Sigalov, G., O.V. Gendelman, M. Al-Shudeifat, A.F. Vakakis, and L.A. Bergman, "Resonance Captures and Targeted Energy Transfers in an Inertially Coupled Rotational Nonlinear Energy Sink," Nonlinear Dynamics, Vol.69, No.4, 1693-1704, doi: 10.1007/s11071-012-0379-1, 2012.
  • Andersen, D., Y. Starosvetsky, M. Mane, S. Hubbard, K. Remick, X. Wang, A.F. Vakakis, and L.A. Bergman, "Non-resonant Damped Transitions Resembling Continuous Resonance Scattering in Coupled Oscillators with Essential Nonlinearities," Physica D, Vol. 241, 964-975, 2012.
  • Starosvetsky, Y., K.R. Jayaprakash, A.F. Vakakis, and L.I. Manevitch, "Effective Particles and Classification of Periodic Orbits of Homogeneous Granular Chains with No Pre-compression," Physical Review E, Vol. 85(3), 036606, doi: 10.1103/PhysRevE.85.036606, 2012.
  • Starosvetsky, Y., K.R. Jayaprakash, and A.F. Vakakis, "Nonlinear Pulse Equi-partition in Weakly Coupled Ordered Granular Chains with no Pre-Compression," Accepted for publication, Technical Note, Journal of Computational and Nonlinear Dynamics [also arXiv:1109.5625v1 [nlin.PS] (http://arxiv.org/abs/1109.5625)] (in press).
  • Kurt, M., H. Chen, Y.S. Lee, D.M. McFarland, L.A. Bergman, and A.F. Vakakis, "Nonlinear System Identification of the Dynamics of a Vibro-Impact Beam: Numerical Results," Archive of Applied Mechanics (Ingenieur Archiv), Vol.82, 1461-1479, doi: 10.1007/s00419-012-0678-5, 2012.
  • Sigalov, G., O.V. Gendelman, M. Al-Shudeifat, L.I. Manevitch, A.F. Vakakis, and L.A. Bergman, "Alternation of Regular and Chaotic Dynamics in a Simple Two-Degree-of-Freedom System with Nonlinear Inertial Coupling," Chaos, Vol.22, 013118, doi: 10.1063/1.3683480, 2012.
  • Starosvetsky, Y., M.A. Hasan, A.F. Vakakis, and L.I. Manevitch, "Strongly Nonlinear Beat Phenomena and Energy Exchanges in Weakly Coupled Granular Chains on Elastic Foundations," SIAM Journal on Applied Mathematics, Vol.72, No.1, 337-361, 2012.
  • Quinn, D. D., S. Hubbard, N. Wierschem, M.A. Al-Shudeifat, R.J. Ott, B.F. Spencer Jr., D.M. McFarland, A.F. Vakakis, and L.A. Bergman, "Equivalent Modal Damping, Stiffening and Energy Exchanges in Multi Degree-of-Freedom Systems with Strongly Nonlinear Attachments," Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, doi: 10.1177/1464419311432671, 2012.
  • Gendelman, O. V., G. Sigalov, L.I. Manevitch, M. Mane, A.F. Vakakis, and L.A. Bergman, "Dynamics of an Eccentric Rotational Nonlinear Energy Sink," Journal of Applied Mechanics, Vol. 79, 011012￿111012-9, 2012.
  • Sapsis, T. P., D.D. Quinn, A.F. Vakakis, and L.A. Bergman, "Effective Stiffening and Damping Enhancement of Structures with Strongly Nonlinear Local Attachments," Journal of Vibration and Acoustics, Vol. 134, No.1,2012.
  • Andersen, D., Y. Starosvetsky, A.F. Vakakis, and L.A. Bergman, "Dynamic Instabilities in Coupled Oscillators Induced by Geometrically Nonlinear Viscous Damping," Nonlinear Dynamics, Vol. 67, No. 1, pp. 807-827, 2012.
  • Starosvetsky, Y., K. R. Jayaprakash, and A.F. Vakakis, "Scattering of Solitary Waves and Excitation of Transient Breathers in Granular Media by Light Intruders," Journal of Applied Mechanics, Vol. 79, 011001-1￿011001-12, 2012.
  • Vakakis, A. F., L.A. Bergman, D.M. McFarland, Y.S. Lee, and M. Kurt, "Current Efforts Towards A Nonlinear System Identification Methodology of Broad Applicability," Invited Forward Look Article, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol.225, pp. 2497-2515, 2011.
  • Starosvetsky, Y. and A. F. Vakakis,"Primary Wave Transmission in Systems of Elastic Rods with Granular Interfaces," Wave Motion, Vol. 48, No. 7, pp. 568-585, 2011.
  • Jayaprakash, K.R., Y. Starosvetsky, and A. F. Vakakis, "A New Family of Solitary Waves in Granular Dimmer Chains with No Pre-compression," Physical Review E, Vol. 83, 036606, doi: 10.1103/PhysRevE.83.036606, 2011.
  • Sapsis T.P., A. F. Vakakis, and L. A. Bergman, "Effect of Stochasticity on Targeted Energy Transfer from a Linear Medium to a Strongly Nonlinear Attachment," Probabilistic Mechanics, Vol. 26, pp. 119-133, doi: 10.1016/j.probengmech.2010.11.006, 2011.
  • Manevitch L.I., Y. A. Kosevich, M. Mane, G. Sigalov, L. A. Bergman, and A. F. Vakakis, "Towards a New Type of Energy Trap: Classical Analog of Quantum Landau-Zener Tunneling," International Journal of Nonlinear Mechanics, Vol. 46, No.1, pp. 247-252, 2011.
  • Lee, Y. S., A.F. Vakakis, D.M. McFarland, and L.A. Bergman, "A Global-Local Approach to Nonlinear System Identification: A Review," Invited paper, Journal of Structural Control and Health Monitoring (in Honor of Prof. George W Housner), Vol. 17, No.7, pp. 742-760, 2010.
  • Gendelman, O. V., T. Sapsis, A.F. Vakakis, and L.Bergman, "Enhanced Passive Targeted Energy Transfer in Strongly Nonlinear Mechanical Oscillators," Journal of Sound and Vibration (Rapid Communication), Vol. 330, No.1, pp. 1-8, 2011.
  • Jayaprakash K.R., Y. Starosvetsky, A.F. Vakakis, M. Peeters, and G. Kerschen, "Nonlinear Normal Modes and Band Gaps in Granular Chains with no Pre-compression," Nonlinear Dynamics, Vol. 63, No. 3, pp. 359-385, doi: 10.1007/s11071-010-9809-0, 2011.
  • Quinn, D. D., A. Triplett, A.F. Vakakis, and L.A. Bergman, "Energy Harvesting from Repetitive Impulsive Loads Using Intentional Essential Nonlinearities," Journal of Vibration and Acoustics, Vol. 133, 011004-1, doi: 10.1115/1.4002787, 2011.
  • Sapsis, T. P., and A. F. Vakakis, "Subharmonic Orbits of a Strongly Nonlinear Oscillator Forced by Closely Spaced Harmonics," Journal of Computational and Nonlinear Dynamics, Vol.6, No.011014-1, 2011.
  • Quinn, D. D., A. L. Triplett, L. A. Bergman, and A. F. Vakakis, "Comparing Linear and Essentially Nonlinear Vibration-Based Energy Harvesting," Journal of Vibration and Acoustics, Vol. 133, 011001-1, 2011.
  • Y. Starosvetsky and A.F. Vakakis, "Traveling Waves and Localized Modes in One-dimensional Homogeneous Granular Chains with no Pre-compression," Physical Review E, Vol. 82, 026603, doi: 10.1103/PhysRevE.82.026603, 2010.
  • Lee, Y. S., S. Tsakirtzis, A. F. Vakakis, D. M. McFarland, and L.A. Bergman, "A Time-Domain Nonlinear System Identification Method Based on Slow-Fast Dynamic Partitions," Meccanica, doi: 10.1007/s11012-010-9327-7, 2010.
  • Hubbard, S., D. McFarland, L. Bergman, and A. F. Vakakis, "Targeted Energy Transfer Between a Model Flexible Wing and a Nonlinear Energy Sink," AIAA J. Aircraft, Vol. 47, No. 6, pp. 1918-1931, doi: 10.2514/1.C001012, 2010.
  • Cho, H., M. F. Yu, A. F. Vakakis, L. A. Bergman, and D. M. McFarland, "Tunable and Broadband Nonlinear Nanomechanical Resonator," Nanoletters, Vol. 10, pp. 1793-1798, DOI: 10.1021/nl100480y, 2010.
  • Lee, Y. S., A. F. Vakakis, D. M. McFarland, and L. A. Bergman, "Time-Domain Nonlinear System Identification of the Dynamics of Aeroelastic Instability Suppression Based on Targeted Energy Transfers," Aeronautical Journal of the Royal Aeronautical Society, Vol. 114, No. 1152, pp. 61-82, 2010.
  • Vakakis, A. F., "Relaxation Oscillations, Subharmonic Orbits and Chaos in the Dynamics of a Linear Lattice with a Local Essentially Nonlinear Attachment," Nonlinear Dynamics, Vol. 61, pp. 443-463, DOI 10.1007/s11071-010-9661-2, 2010.
  • Gendelman, O. V., A. F. Vakakis, L. A. Bergman, and D. M. McFarland, "Asymptotic Analysis of Passive Suppression Mechanisms for Aeroelastic Instabilities in a Rigid Wing in Subsonic Flow," SIAM Journal on Applied Mathematics, Vol. 70, No.5, pp. 1655-1677, 2010.
  • Nucera, F., D. M. McFarland, L. A. Bergman, and A. F. Vakakis, ￿Application of Broadband Nonlinear Targeted Energy Transfers for Seismic Mitigation of a Shear Frame: Computational Results,￿ Journal of Sound and Vibration, Vol. 329, No. 15, 2973-2994, 2010.
  • Tsakirtzis, S., Y. S. Lee, A. F. Vakakis, L. A. Bergman, and D. M. McFarland, "Nonlinear System Identification of the Dynamics of an Elastic Rod with an Essentially Nonlinear Attachment," Communications in Nonlinear Science and Numerical Simulation, doi:10.1016/j.cnsns.2009.10.014, 2009.
  • Lee, Y. S., S. Tsakirtzis, A. F. Vakakis, D. M. McFarland, and L. A. Bergman, "Physics-Based Foundation for Empirical Mode Decomposition: Correspondence Between Intrinsic Mode Functions and Slow Flows," AIAA Journal, Vol. 47, No.12, pp. 2938-2963, 2009.
  • Wang, D., Y. S. Lee, D. M. McFarland, L. A. Bergman, and A. F. Vakakis, ￿Mitigating the Effect of Impact Loading on a Vehicle Using an Essentially Nonlinear Absorber,￿ Vehicle System Dynamics, International Journal of Vehicle Mechanics and Mobility, Vol. 47, No. 10, pp. 1183-1204, 2009.
  • Kerschen, G., M. Peeters, J. C. Golinval, and A. F. Vakakis, "Nonlinear Normal Modes, Part I: A Useful Framework for the Structural Dynamicist," Invited Paper, Journal of Mechanical Systems and Signal Processing, 23:1, pp. 170-194, 2009.
  • Lee, Y. S., F. Nucera, A. F. Vakakis, D. M. McFarland, and L. A. Bergman, "Periodic Orbits, Damped Transitions and Targeted Energy Transfers in Oscillators with Vibro-Impact Attachments," Physica D, Vol. 238, No. 18, pp. 1868-1896, doi:10.1016/j.physd.2009.06.013, 2009.
  • Sapsis, T., A. F. Vakakis, O. V. Gendelman, L. A. Bergman, G. Kerschen, and D. D. Quinn, ￿Efficiency of Targeted Energy Transfers in Coupled Nonlinear Oscillators Associated with 1:1 Resonance Captures: Part II, Analytical Study,￿ Journal of Sound and Vibration, 325, pp. 297-320, doi:10.1016/j.jsv.2009.03.004, 2009.
  • Rothos, V. and A. F. Vakakis, ￿Dynamic Interaction of Traveling Waves Propagating in an Infinite Linear Chain with a Local Essentially Nonlinear Attachment,￿ Wave Motion, 46, pp. 174-188, 2009.
  • Georgiades, F. and A. F. Vakakis, "Passive Targeted Energy Transfers and Strong Modal Interactions in the Dynamics of a Thin Plate with Strongly Nonlinear End Attachments," International Journal of Solids and Structures, doi: 10.1016/j.ijsolstr.2009.01.020, 2009.
  • Viguie, R., G. Kerschen, J. C. Golinval, D. M. McFarland, L. A. Bergman, A. F. Vakakis, and N. van de Wouw, ￿Using Passive Nonlinear Targeted Energy Transfer to Stabilize Drill-String Systems,￿ Journal of Mechanical Systems and Signal Processing (Special Issue on ￿Nonlinear Structural Dynamics￿), 23:1, pp. 148-169, 2009.
  • Lee, Y. S., A. F. Vakakis, L. A. Bergman, D. M. McFarland, G. Kerschen, F. Nucera, S. Tsakirtzis, and P. Panagopoulos, "Passive Nonlinear Targeted Energy Transfer (Energy Pumping) and its Applications to Vibration Absorption: A Review 2008," Invited review paper, Proceedings of the Institution of Mechanical Engineers, Vol. 222, Part K: Journal of Multi-body Dynamics, Vol. 118, pp. 78-134, 2008.
  • Karayannis, I., A. F. Vakakis, and F. Georgiades, ￿Vibro-impact Attachments as Shock Absorbers, Proceedings of the Institution of Mechanical Engineers Part C: Journal of Mechanical Engineering Science, Special issue on Vibro-impact Systems (V. Babitsky editor), 222: C10, 1899-1908, 2008.
  • Lee, Y. S., A. F. Vakakis, L. A. Bergman, D. M. McFarland, and G. Kerschen, ￿Enhancing Robustness of Aeroelastic Instability Suppression Using Multi-Degree-of-Freedom Nonlinear Energy Sinks,￿ AIAA Journal, 46:6, 1371-1394, 2008.
  • Nucera, F., F. Lo Iacono, D. M. McFarland, L. A. Bergman, and A. F. Vakakis, ￿Application of Broadband Nonlinear Targeted Energy Transfers for Seismic Mitigation of a Shear Frame: Part II. Experimental Results,￿ Journal of Sound and Vibration, 313, 57-76, 2008.
  • Quinn, D. D., O. Gendelman, G. Kerschen, T. Sapsis, L. A. Bergman, and A. F. Vakakis, ￿Efficiency of Targeted Energy Transfers in Coupled Nonlinear Oscillators Associated with 1:1 Resonance Captures: Part I,￿ Journal of Sound and Vibration, 311, 1228-1248, 2008.
  • Kerschen, G., A. F. Vakakis, Y. S. Lee, D. M. McFarland, and L. A. Bergman, ￿Toward a Fundamental Understanding of the Hilbert-Huang Transform in Nonlinear Structural Dynamics,￿ Journal of Vibration and Control (Special issue on the occasion of the 60th birthday of Prof. Fabrizio Vestroni), 14, 77-105, 2008.
  • Gendelman, O., G. Kerschen, A. F. Vakakis, L. Bergman, and D. M. McFarland, ￿Impulsive Periodic and Quasiperiodic Orbits in a System of Coupled Oscillators with Essential Stiffness Nonlinearity,￿ Communications in Nonlinear Science and Numerical Simulation, 13:5, 959-978, 2008.
  • Ma, X., A. F. Vakakis, and L. A. Bergman, ￿Karhunen ￿ Loeve Analysis and Order Reduction of the Transient Dynamics of Linear Coupled Oscillators with Strongly Nonlinear End Attachments,￿ Journal of Sound and Vibration, 309, 569-587, 2008.
  • Lee, Y. S., G. Kerschen, D. M. McFarland, W. J. Hill, C. Nichkawde, T. W. Strganac, L. A. Bergman, and A. F. Vakakis, ￿Suppression of Aeroelastic Instability by Means of Broadband Passive Targeted Energy Transfers, Part II: Experiments,￿ AIAA Journal, 45:12, 2391-2400, 2007.
  • Panagopoulos, P. N., F. Georgiades, S. Tsakirtzis, A. F. Vakakis, and L. A. Bergman, ￿Multi-scaled Analysis of the Damped Dynamics of an Elastic Continuum with an Essentially Nonlinear End Attachment,￿ International Journal of Solids and Structures, 44, 6256-6278, 2007.
  • Georgiades, F., A. F. Vakakis, and G. Kerschen, ￿Broadband Passive Targeted Energy Transfer from a Linear Dispersive Rod to a Lightweight Essentially Nonlinear End Attachment,￿ International Journal of Nonlinear Mechanics, 42, 773-788, 2007.
  • Tsakirtzis, S., A. F. Vakakis, and P. N. Panagopoulos, ￿Broadband Energy Exchanges Between a Dissipative Elastic Rod and a Multi-degree-of-freedom Dissipative, Essentially Nonlinear Attachment,￿ International Journal of Nonlinear Mechanics (Special Issue on ￿Dissipative Nonlinear Systems￿), 42:1, 36-57, 2007.
  • Tsakirtzis, S., P. N. Panagopoulos, G. Kerschen, O. Gendelman, A. F. Vakakis, and L. A. Bergman, ￿Complex Dynamics and Targeted Energy Transfer in Systems of Linear Oscillators Coupled to Multi-degree-of-freedom Essentially Nonlinear Attachments,￿ Nonlinear Dynamics, 48, 285-318, 2007.
  • Lee, Y. S., A. F. Vakakis, L. A. Bergman, D. M. McFarland, and G. Kerschen, ￿Suppression of Aeroelastic Instability by Means of Broadband Passive Targeted Energy Transfers, Part I: Theory 2007,￿AIAA Journal, 45:3, 693-711, 2007.
  • Panagopoulos, P. N., O. Gendelman, and A. F. Vakakis, ￿Robustness of Targeted Energy Transfer in Coupled Oscillators to Changes of Initial Conditions,￿ Nonlinear Dynamics, 47, 377-387, 2007.
  • Nucera, F., A. F. Vakakis, D. M. McFarland, L. A. Bergman, and G. Kerschen, ￿Targeted Energy Transfers in Vibro-Impact Oscillators for Seismic Mitigation,￿ Nonlinear Dynamics (Special issue on ￿Discontinuous Dynamical Systems￿), 50, 651-677 (DOI 10.1007/s11071-006-9189-7), 2007.
  • Georgiades, F., and A. F. Vakakis, ￿Dynamics of a Linear Beam with an Attached Local Nonlinear Energy Sink,￿ Communications in Nonlinear Science and Numerical Simulation (Short Communication),12:5, 643-561, 2007.
  • Kerschen, G., D. M. McFarland, J. Kowtko, Y. S. Lee, L. A. Bergman, and A. F. Vakakis, ￿Experimental Demonstration of Transient Resonance Capture in a System of Two Coupled Oscillators with Essential Stiffness Nonlinearity, Journal of Sound and Vibration, 299:4-5, 822-838, 2007.
  • Kerschen, G., J. Kowtko, D. M. McFarland, L. A. Bergman, and A. F. Vakakis, ￿Theoretical and Experimental Study of Multimodal Targeted Energy Transfer in a System of Coupled Oscillators,￿ Nonlinear Dynamics (special issue in honor of the 60th birthday of Prof. G. Rega), 47:1-3, 285-309, 2007.
  • McCue, L, L. Alford, W. Belknap, G. Bulian, L. Delorme, A. Francescutto, C. Lugni, A. Troesch, and A. F. Vakakis, "An Overview of the Minisymposium on ￿Extreme Ship Dynamics￿ Presented at the 2005 SIAM Conference on Applications of Dynamical Systems, 2006, Marine Technology and SNAME News, 43:1, 55-61, 2006.
  • Kourdis, P., and A. F. Vakakis, ￿Some Results On the Dynamics of the Linear Parametric Oscillator with General Time-Varying Frequency,￿ Applied Mathematics and Computation, 183, 1235-1248, 2006.
  • Lee, Y. S., A. F. Vakakis, L. A. Bergman, and D. M. McFarland, ￿Suppression of Limit Cycle Oscillations in the Van der Pol Oscillator by means of Passive Nonlinear Energy Sinks (NESs),￿ Journal of Structural Control and Health Monitoring (Special Issue to honor the memory of Professor Thomas K. Caughey), 13:1, 41-75, 2006.
  • Kerschen, G., Y. S. Lee, A. F. Vakakis, D. M. McFarland, and L. A. Bergman, ￿Irreversible Passive Energy Transfer in Coupled Oscillators with Essential Nonlinearity,￿ SIAM Journal on Applied Mathematics, 66:2, 648-679, 2006.
  • Kerschen, G., K. Worden, A. F. Vakakis, and J.-C. Golinval, "Past, Present and Future of Nonlinear System Identification in Structural Dynamics," Invited paper, Journal of Mechanical Systems and Signal Processing, 20:3, 505-592, 2005.
  • Kerschen, G., J.-C. Golinval, A. F. Vakakis, and L. A. Bergman, "The Method of Proper Orthogonal Decomposition for Order Reduction of Mechanical Systems: An Overview," Nonlinear Dynamics, Special issue on ￿Reduced Order Models: Methods and Applications,￿ 41:1-3, 147-170, 2005.
  • Song, Y., D. M. McFarland, L. A. Bergman, and A. F. Vakakis, ￿Stick-Slip-Slap Interface Response Simulation: Formulation and Application of a General Joint/Interface Element,￿ Computer Modeling in Engineering & Sciences (C.J. Astill Memorial Edition), 10:2, 153-170, 2005.
  • Kerschen, G., A. F. Vakakis, Y. S. Lee, D. M. McFarland, J. Kowtko, and L. A. Bergman, ￿Energy Transfers in a System of Two Coupled Oscillators with Essential Nonlinearity: 1:1 Resonance Manifold and Transient Bridging Orbits,￿ Nonlinear Dynamics, 42:3, 283-303, 2005.
  • Lee, Y. S., A. F. Vakakis, L. A. Bergman, D. M. McFarland, and G. Kerschen, ￿Triggering Mechanisms of Limit Cycle Oscillations Due to Aeroelastic Instability,￿ Journal of Fluids and Structures (Special Issue celebrating the 70th birthday of Professor Michael Paidoussis), 21, 485-529, 2005.
  • McFarland, D. M., G. Kerschen, J. Kowtko, Y. S. Lee, L. A. Bergman, and A. F. Vakakis, ￿Experimental Investigation of Targeted Energy Transfers In Strongly and Nonlinearly Coupled Oscillators,￿ Journal of the Acoustical Society of America, 118:2, 791-799, 2005.
  • Georgiades, F., A. F. Vakakis, D. M. McFarland, and L. A. Bergman, ￿Shock Isolation Through Passive Energy Pumping Caused by Non-smooth Nonlinearities,￿ International Journal of Bifurcation and Chaos (Special Issue on ￿Non-smooth Dynamical Systems: Recent Trends and Perspectives￿), 15:6, 1-13, 2005.
  • Lee, Y. S., G. Kerschen, A. F. Vakakis, P. N. Panagopoulos, L. A. Bergman, and D. M. McFarland, ￿Complicated Dynamics of a Linear Oscillator with a Light, Essentially Nonlinear Attachment,￿ Physica D, 204:1-2, 41-69, 2005.
  • Tsakirtzis, S., G. Kerschen, P. N. Panagopoulos, and A. F. Vakakis, ￿Multi-Frequency Nonlinear Energy Transfer From Linear Oscillators to MDOF Essentially Nonlinear Attachments,￿ Short Communication, Journal of Sound and Vibration, 285, 483-490, 2005.
  • Wang, Y., D. M. McFarland, A. F. Vakakis, and L. A. Bergman, ￿Seismic Base Isolation by Nonlinear Mode Localization,￿ Archive of Applied Mechanics (Ingenieur Archiv), 74:5-6, 387-414, 2005.
  • McFarland, D. M., L. A. Bergman, and A. F. Vakakis, ￿Experimental Study of Nonlinear Energy Pumping Occurring at a Single Fast Frequency,￿ International Journal of Non-Linear Mechanics, 40, 891-899, 2005.
  • Song, Y., D. M. McFarland, L. A. Bergman, and A.F. Vakakis, ￿Effect of Pressure Distribution on Energy Dissipation in a Mechanical Lap Joint,￿ AIAA Journal, 43:2, 420-425, 2005.
  • Vakakis, A. F., L. I. Manevitch, A. Musienko, G. Kerschen, and L. A. Bergman,￿ Transient Dynamics of a Dispersive Elastic Wave Guide Weakly Coupled to an Essentially Nonlinear End Attachment,￿ Wave Motion, 41:2, 109-132, 2004.
  • Panagopoulos, P. N, A. F. Vakakis, and S. Tsakirtzis, ￿Transient Resonant Interactions of Linear Chains with Essentially Nonlinear End Attachments Leading to Passive Energy Pumping,￿ International Journal of Solids and Structures, 41:22-23, 6505-6528, 2004.
  • Hartwigsen, C. J., Y. Song, D. M. McFarland, L. A. Bergman, and A. F. Vakakis, ￿Experimental Study of Nonlinear Effects in a Typical Shear Lap Joint Configuration,￿ Journal of Sound and Vibration, 277, 327-351, 2004.
  • Vakakis, A. F., D. M. McFarland, L. A. Bergman, L. I. Manevitch, and O. Gendelman, ￿Isolated Resonance Captures and Resonance Capture Cascades Leading to Single- or Multi-Mode Passive Energy Pumping in Damped Coupled Oscillators,￿ Journal of Vibration and Acoustics, 126:2, 235-244, 2004.
  • Song, Y., C. J. Hartwigsen, L. A. Bergman, and A. F. Vakakis, ￿Simulation of Nonlinear Dynamics of Beam Structures with Bolted Joints Using Adjusted Iwan Beam Elements,￿ Journal of Sound and Vibration, 273:1-2, 249-276, 2004.
  • Vakakis, A. F., and R. H. Rand, ￿Nonlinear Dynamics of a System of Coupled Oscillators with Essential Stiffness Nonlinearities,￿ International Journal of Non-Linear Mechanics, 39, 1079-1091, 2004.
  • Song, Y., C. J. Hartwigsen, L. A. Bergman, and A. F. Vakakis, ￿A Three-Dimensional Nonlinear Reduced-Order Predictive Joint Model,￿ Journal of Earthquake Engineering and Engineering Vibration, 2:1, 59-73, 2003.
  • Vakakis, A. F., ￿Designing a Linear Structure with a Local Nonlinear Attachment for Enhanced Energy Pumping,￿ Meccanica, 38:6, 677-686, 2003.
  • Jiang, X., D. M. McFarland, L. A. Bergman, and A. F. Vakakis, ￿Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators: Theoretical and Experimental Results,￿ Nonlinear Dynamics, 33:1, 87-102, 2003.
  • Gendelman, O., L. I. Manevitch, A. F. Vakakis, and L. A. Bergman, ￿A Degenerate Bifurcation Structure in the Dynamics of Coupled Oscillators with Essential Stiffness Nonlinearities,￿ Nonlinear Dynamics, 33:1, 1-10, 2003.
  • Vakakis, A. F., L. I. Manevitch, O. Gendelman, and L. A. Bergman, ￿Dynamics of Linear Discrete Systems Connected to Local Essentially Nonlinear Attachments, Journal of Sound and Vibration, 264, 559-577, 2003.
  • Panayotounakos, D., A. Panayotounakou (*), and A. F. Vakakis ￿On the Lack of Analytic Solutions of the Van der Poll Oscillator,￿ Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), (Short Communication), 83:8, 1-5, 2003. (*) Undergraduate student at the time of submission.
  • Manevitch, L. I., O. Gendelman, A. Musienko, A. F. Vakakis, and L. A. Bergman, ￿Dynamic Interaction of a Semi-infinite Linear Chain of Coupled Oscillators with a Strongly Nonlinear End Attachment,￿ Physica D, 178:1-2, 1-18, 2003.
  • Vakakis, A. F., ￿Shock Isolation Through the Use of Nonlinear Energy Sinks,￿ Journal of Vibration and Control (Commemorative Issue on the Occasion of Professor Friedrich G. Pfeiffer￿s 65th Birthday), 9:1-2, 79-93, 2003.
  • Jiang, X., and A. F. Vakakis, ￿Dual Mode Vibration Isolation Based on Nonlinear Mode Localization,￿ International Journal of Nonlinear Mechanics, 38:6, 837-850, 2003.
  • Vishnubhotla, S., J. Falzarano, and A.F. Vakakis, ￿Mobile Offshore Base Platform Nonlinear Dynamics in a Realistic (Random) Seaway,￿ Journal of Offshore Mechanics and Arctic Engineering, 124, 48-52, 2002.
  • Panayotounakos, D., A. Panayotounakou(*), and A. F. Vakakis, ￿On the Solution of the Unforced Duffing Oscillator with Damping,￿ Nonlinear Dynamics, 28, 1-16, 2002. (*)Undergraduate student at the time of submission.
  • Sophianopoulos, D., A. N. Kounadis, and A. F. Vakakis, ￿Complex Dynamics of Discrete Systems with Partial Follower Forces and no Initial Imperfections,￿ International Journal of Nonlinear Mechanics (Special Issue on ￿Instabilities of Structures￿), 37:7, 1121-1138, 2002.
  • Ma, X., L. A. Bergman, and A. F. Vakakis, "Identification of Bolted Joints Through Laser Vibrometry,￿ Journal of Sound and Vibration, 246:3, 441-460, 2001.
  • Vakakis, A. F., ￿Inducing Passive Nonlinear Energy Sinks in Linear Vibrating Systems,￿ Journal of Vibration and Acoustics, 123:3, 324-332, 2001.
  • Ma, X., A. F. Vakakis, and L. A. Bergman, ￿Karhunen-Loeve Modes of a Truss: Transient Response Reconstruction and Experimental Verification,￿ AIAA Journal, 39:4, 687-696, 2001.
  • Ma, X. and A. F. Vakakis, ￿Nonlinear Transient Localization and Beat Phenomena Due to Backlash in a Coupled Flexible System,￿ Journal of Vibration and Acoustics, 123:1, 2001.
  • Rozhkov, I., A. F. Vakakis, and R. H. Rand, ￿Nonlinear Modal Interactions in the Oscillations of a Liquid Drop in a Gravitational Field,￿ International Journal of Non-Linear Mechanics, 36, 803-812, 2001.
  • Vakakis, A. F., and O. Geldenman, ￿Energy ￿Pumping￿ in Nonlinear Mechanical Oscillators II: Resonance Capture,￿ Journal of Applied Mechanics, 68:1, 42-48, 2001.
  • Geldenman, O., L. I. Manevitch, A. F.Vakakis, and R. M￿Closkey, ￿Energy ￿Pumping￿ in Nonlinear Mechanical Oscillators I: Dynamics of the Underlying Hamiltonian Systems,￿ Journal of Applied Mechanics, 68:1, 2001.
  • M￿Closkey, R., A. F. Vakakis, and R. Gutierrez, ￿Mode Localization Induced by a Nonlinear Active Loop,￿ Nonlinear Dynamics (Special Issue on Normal Modes and Localization in Nonlinear Systems), 225:1-3, 221-236, 2001.
  • Nayfeh, T. A., and A. F. Vakakis, ￿Passive Transient Motion Confinement due to Nonlinear Joints in Large-scale Flexible Systems,￿ Nonlinear Dynamics, 25, 333-354, 2001.
  • Azeez, A. F. A., and A. F. Vakakis, ￿Proper Orthogonal Decomposition (POD) of a Class of Vibro-impact Oscillations,￿ Journal of Sound and Vibration, 240:5, 859-889, 2001.
  • Pellicano, F., M. Amabili, and A. F. Vakakis ￿Nonlinear Vibrations and Multiple Resonances of Fluid-Filled Circular Shells. Part II: Perturbation Analysis,￿ Journal of Vibration and Acoustics, 122:4, 355-364, 2000.
  • Amabili, M., F. Pellicano, and A. F. Vakakis, ￿Nonlinear Vibrations and Multiple Resonances of Fluid-Filled Circular Shells. Part I: Equations of Motion and Numerical Results,￿ Journal of Vibration and Acoustics, 122:4, 346-354, 2000.
  • Vishnubhotia, S., J. Falzarano, and A. F. Vakakis, ￿A New Method to Predict Vessel/Platform Critical Dynamics in a Realistic Seaway,￿ Philosophical Transactions of the Royal Society (Theme issue on Nonlinear Dynamics of Ships), 358: 1771, 1967-1981, 2000.
  • Emad, J., A. F. Vakakis, and N. R. Miller, ￿Experimental Nonlinear Localization in a Periodically Forced Repetitive System of Coupled Magnetoelastic Beams,￿ Physica D, 137, 192-201, 2000.
  • Pellicano, F. and A. F. Vakakis, ￿Normal Modes and Boundary Layers for a Slender Tensioned Beam on a Nonlinear Foundation,￿ Nonlinear Dynamics (Special Issue on Normal Modes and Localization in Nonlinear Systems), 25:1-3, 79-93, 2000.
  • Gendelman, O. and A. F. Vakakis, ￿Transitions from Localization to Nonlocalization in Strongly Nonlinear Damped Oscillators,￿ Chaos, Solitons and Fractals (Special Issue on Localization Problems in Engineering), 11, 1535-1542, 2000.
  • Azeez, M. F. A. and A. F. Vakakis, "Axisymmetric Transient Solutions of the Heat Diffusion Problem in Layered Composite Media," International Journal of Heat and Mass Transfer, 43:20, 3883-3895, 2000.
  • Ma, X., T. A. Nayfeh, A. F Vakakis, and L. Bergman, ￿Experimental Verification of Shock Reduction Achieved Through Nonlinear Localization,￿ Journal of Sound and Vibration (Letter-to-the-Editor), 230:5, 1177-1184, 2000.
  • Ma, X., M. A. F. Azeez, and A. F. Vakakis, ￿Nonlinear Normal Modes and Nonparametric System Identification of Nonlinear Oscillators,￿ Journal of Mechanical Systems and Signal Processing, 14:1, 37-48, 2000.
  • Salenger, G., A. F. Vakakis, O. Gendelman, L. Manevitch, and I. Andrianov, ￿Transitions from Strongly- to Weekly-Nonlinear Motions of Damped Nonlinear Oscillators Nonlinear Dynamics, 20:2, 99-114, 1999.
  • Manevitch, L. I., M. A. F. Azeez, and A. F. Vakakis, ￿Exact Solutions for a Discrete System Undergoing Free Vibro-impact Oscillations PMM - Journal of Applied Mathematics and Mechanics (Prikladnaya Matematika I Mekhanika), 63:4, 549-553, 1999.
  • Ma, X. and A. F. Vakakis, ￿Karhunen-Loeve Decomposition of the Transient Dynamics of a Multi-Bay Truss,￿ AIAA Journal, 3:2, 939-946, 1999.
  • Georgiou, I. T., I. Schwartz, E. Emaci, and A. F. Vakakis, ￿Interaction Between Slow and Fast Oscillations in an Infinite Degree-of-freedom Linear Structure Coupled to a Nonlinear Subsystem,￿ Journal of Applied Mechanics, 66:2, 448-459, 1999.
  • Vakakis, A. F. and T. M. Atanackovic, ￿Buckling of an Elastic Ring Forced by a Periodic Array of Compressive Loads,￿ Journal of Applied Mechanics, 28, 21-36, 1999.
  • Vakakis, A. F., A. N. Kounadis, and I. Raftoyiannis, "Use of Nonlinear Localization for Isolating Structures from Earthquake-Induced Motions," Earthquake Engineering and Structural Dynamics, 28, 21-36, 1999.
  • Azeez, M. A. F. and A. F. Vakakis, ￿Numerical and Experimental Analysis of a Continuously Overhung Rotor Undergoing Vibro-Impacts,￿ International Journal of Non-Linear Mechanics, 34, 415-435, 1999.
  • Pilipchuk, V. N. and A. F. Vakakis, ￿Sensitive Dependence on Initial Conditions of Strongly Nonlinear Periodic Orbits of the Forced Pendulum,￿ Nonlinear Dynamics, 16, 223-237, 1998.
  • Boeckle, G., A. F. Vakakis, and G. Salenger, ￿Exact Solutions for Transient Wave Propagation in a Two-Dimensional Aray of Particles,￿ Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), 78:11, 759-770, 1998.
  • Mikhlin, Y. V., A. F. Vakakis, and G. Salenger, ￿Direct and Inverse Problems Encountered in Vibro-Impact Oscillations of a Discrete System,￿ Journal of Sound and Vibration, 216:2, 227-250, 1998
  • Salenger, G. and A. F. Vakakis, ￿Localized and Periodic Waves with Discreteness Effects,￿ Mechanics Research Communications, 25:1, 97-104, 1998.
  • Emaci, E., M. A. F. Azeez, and A. F. Vakakis, ￿Dynamics of Trusses: Numerical and Experimental Results,￿ Journal of Sound and Vibration (Letter to the Editor), 214:5, 953-964, 1998.
  • Vakakis, A. F. and G. Salenger, ￿Generation of Localization in a Discrete Chain with Periodic Boundary Conditions: Numerical and Analytical Results,￿ SIAM Journal on Applied Mathematics, 58:6, 1730-1747, 1998.
  • Vakakis, A. F. and M. A. F. Azeez, “Analytic Approximation of the Homoclinic Orbit of the Lorenz System at σ=10, b=8/3 and ρ=13.926,” Nonlinear Dynamics, 15, 245-257, 1998.
  • Pilipchuk, V. and A. F. Vakakis, "Study of the Oscillations of a Nonlinearly Supported String Using Nonsmooth Transformations," Journal of Vibration and Acoustics, 120, 434-440, 1998.
  • Kota, R. V., J. M. Falzarano, and A. F. Vakakis, ￿Survival Analysis of a Deep Water Floating Offshore Platform About its Critical Axis Including Coupling,￿ International Journal of Offshore and Polar Engineering, 8:2, 115-121, 1998.
  • Salenger, G. and A. F. Vakakis, " Discreteness Effects in the Forced Dynamics of a String on a Periodic Array of Non-Linear Supports," International Journal of Nonlinear Mechanics, 33:4, 659-673, 1998.
  • Vakakis, A. F. "Nonlinear Normal Modes and their Applications in Vibration Theory: An Overview," Invited paper, Journal of Mechanical Systems and Signal Processing, 11:1, 3-22, 1997.
  • Vakakis, A. F. and M. E. King, "Resonant Oscillations of a Weekly Coupled Nonlinear Layered System," Acta Mechanica, 128, 59-80, 1997.
  • Nayfeh, T. A., E. Emaci, and A. F. Vakakis, "Application of Nonlinear Localization to the Optimization of a Vibration Isolation System," AIAA Journal, 35:8, 1378-1386, 1997.
  • Emaci, E., A. F. Vakakis, I. V. Adrianov, Y. V. Mikhlin, "Study of Two-Dimensional Axisymmetric Breathers Using Pad￿pproximants, Nonlinear Dynamics, 13, 327-338, 1997.
  • Cetinkaya, C., J. Brown, A. M. Azeez, and A. F. Vakakis, "Near Field Transient Axisymmetric Waves in Layered Structures: Effects of Weak Coupling," International Journal for Numerical Methods in Engineering, 40, 1639-1665, 1997.
  • Pilipchuk, V. N., A. F. Vakakis, and M. F. A. Azeez, "Study of a Class of Subharmonic Motions using a Non-Smooth Temporal Transformation (NSTT),￿Physica D, 100, 145-164, 1997.
  • Emaci, E., T. Nayfeh, and A. F. Vakakis, "Numerical and Experimental Study of Nonlinear Localization in a Flexible Structure with Vibro-Impacts Zeitschrift f￿ewandte Mathematik and Mechanik - ZAMM, 77:7, 527-541, 1997.
  • Emaci, E., D. Kim, and A. F. Vakakis, "Impurity Modes in Disordered Nonlinear Lattices," International Journal of Nonlinear Mechanics, 32:1, 21-30, 1997.
  • Vakakis, A. F., "Nonlinear Mode Localization in Systems Governed by Partial Differential Equations," Applied Mechanics Reviews, Special Issue on 'Localization and the effects of irregularities in Structures', 49:2,87-99,1996.
  • Georgiou, I. T. and A. F. Vakakis, "An Invariant Manifold Approach for Studying Waves in a One-Dimensional Array of Nonlinear Oscillators," International Journal of Nonlinear Mechanics, 31:6, 871-886, 1996.
  • King, M. and A. F. Vakakis, "An Energy Based Approach to Computing Resonant Nonlinear Normal Modes," ASME Transactions Journal of Applied Mechanics, 63:3, 810-819, 1996.
  • Pilipchuk, V. N., M. F. A. Azeez, and A. F. Vakakis, "Primary Pulse Transmission in a Strongly Nonlinear Periodic System," Nonlinear Dynamics, 11:1, 61-81, 1996.
  • Aubrecht, J. and A. F. Vakakis, "Localized and Non-Localized Nonlinear Normal Modes in a Multi-Span Beam with Geometric Nonlinearities," ASME Transactions, Journal of Vibration and Acoustics, 118:4, 533-542, 1996.
  • Vakakis, A. F. and C. Cetinkaya, "Dispersion of Stress Waves in One-Dimensional Semi-Infinite, Weakly Coupled Layered Systems," International Journal of Solids and Structures, 33:28, 4195-4213, 1996.
  • Aubrecht, J., A. F. Vakakis, T. C. Tsao, and J. Bentsman, "Experimental Study of Non-Linear Transient Motion Confinement in a System of Coupled Beams," Journal of Sound and Vibration, 195:4, 629-648, 1996.
  • Cetinkaya, C. and A. F. Vakakis, "Transient Axisymmetric Stress Wave Propagation in Weakly Coupled Layered Structures," Journal of Sound and Vibration, 194:3, 389-402, 1996.
  • Sotiropoulos, D. A. and A. F. Vakakis, "Propagation Zones of Weakly Bonded Layered Materials," Letter-to-the-editor, Journal of Sound and Vibration, 187:1, 178-183, 1995.
  • Vakakis, A. F. and M. E. King, "Nonlinear Wave Transmission in a Monocoupled Elastic Periodic System," The Journal of the Acoustical Society of America, 98:3, 1534-1546, 1995.
  • King, M., J. Aubrecht, and A. F. Vakakis, "Experimental Study of Steady-State Localization in Coupled Beams with Active Nonlinearities," Journal of Nonlinear Science, 5:6, 485-502, 1995.
  • Cetinkaya, C., A. F. Vakakis, and M. El-Raheb, "Axisymmetric Elastic Waves in Weakly Coupled Layered Media of Infinite Radial Extent," Journal of Sound and Vibration, 182:2, 283-302, 1995.
  • King, M. E. and A. F. Vakakis, "Asymptotic Analysis of Nonlinear Mode Localization in a Class of Coupled Continuous Structures," International Journal of Solids and Structures, 32:8/9, 1161-1177, 1995.
  • King, M. E. and A. F. Vakakis, "A Very Complicated Structure of Resonances in a Nonlinear System with Cyclic Symmetry: Nonlinear Forced Localization," Nonlinear Dynamics, 7, 85-104, 1995.
  • Vakakis, A. F. and C. Cetinkaya, "Analytic Evaluation of Periodic Responses of a Forced Nonlinear Oscillator," Nonlinear Dynamics, 7, 37-51, 1995.
  • King, M. and A. F. Vakakis, "Mode Localization in a System of Coupled Flexible Beams with Geometric Nonlinearities," Zeitschrift f￿ewandte Mathematik und Mechanik - ZAMM (Journal of Applied Mathematics and Mechanics), 75:2, 127-139, 1995.
  • Vakakis, A. F., "Passive Spatial Confinement of Impulsive Responses in Coupled Nonlinear Beams," American Institute of Aeronautics and Astronautics (AIAA) Journal, 32:9, 1902-1910, 1994.
  • King, M. E. and A. F. Vakakis, "An Energy-Based Formulation for Computing Nonlinear Normal Modes in Undamped Continuous Systems," ASME Transactions, Journal of Vibration and Acoustics, 116:3, 332-340, 1994.
  • King, M. E. and A. F. Vakakis, "A Method for Studying Waves with Spatially Localized Envelopes in a Class of Nonlinear Partial Differential Equations," Wave Motion, 19, 391-405, 1994.
  • Vakakis, A. F., M. E. King, and A. J. Pearlstein, "Forced Localization in a Periodic Chain of Non-Linear Oscillators," International Journal of Non-Linear Mechanics, 29:3, 429-447, 1994.
  • Vakakis, A. F. and D. J. Ewins, "Effects of Weak Non-Linearities on Modal Analysis," Mechanical Systems and Signal Processing, 8:2, 175-198, 1994.
  • Vakakis, A. F., M. El-Raheb, and C. Cetinkaya, "Free and Forced Dynamics of a Class of Periodic Elastic Systems," Journal of Sound and Vibration, 172:1, 23-46, 1994.
  • Nayfeh, T. and A. F. Vakakis, "Subharmonic Travelling Waves in a Geometrically Nonlinear Circular Plate," International Journal of Non-Linear Mechanics, 29:2, 233-246, 1994.
  • Vakakis, A. F., "Exponentially Small Splittings of Manifolds in a Rapidly Forced Duffing System," Journal of Sound and Vibration (Letter-to-the-Editor), 170:1, 119-129, 1994.
  • Vakakis, A. F., "Scattering of Structural Waves by Nonlinear Elastic Joints," ASME Transactions Journal of Vibration and Acoustics, 115:4, 403-410, 1993.
  • Vakakis, A. F., "Analytic Study of Linear and Nonlinear Mode Localization," ASME Transactions, Journal of Applied Mechanics (Brief Note), 60:2, 555-557, 1993.
  • Vakakis, A. F., T. Nayfeh, and M. King, "A Multiple-Scales Analysis of Nonlinear, Localized Modes in a Cyclic Periodic System," ASME Transactions, Journal of Applied Mechanics, 60:2, 388-397, 1993.
  • Nayfeh, A. H., A. F. Vakakis, and T. Nayfeh, "A Method for Analyzing the Interaction of Nondispersive Structural Waves and Nonlinear Joints," Journal of Acoustical Society of America, 93:2, 849-856, 1993.
  • Vakakis, A. F. and C. Cetinkaya, "Mode Localization in a Class of Multi-Degree-of-Freedom Nonlinear Systems with Cyclic Symmetry," SIAM Journal of Applied Mathematics, 53, 265-282, 1993.
  • Vakakis, A. F., "Non-Similar Normal Oscillations in a Strongly Nonlinear Discrete System," Journal of Sound and Vibration, 158:2, 341-361, 1992.
  • Rand, R. H., C. H. Pak, and A. F. Vakakis, "Bifurcation of Nonlinear Normal Modes in a Class of Two Degree of Freedom Systems," Acta Mechanica, (Suppl.) 3, 129-145, 1992.
  • Vakakis, A. F., "Dynamics of a Nonlinear Periodic Structure with Cyclic Symmetry," Acta Mechanica, 95, 197-226, 1992.
  • Vakakis, A. F., "Fundamental and Subharmonic Resonances in a System with a ￿1-1￿ Internal Resonance," Nonlinear Dynamics, 3, 123-143, 1992.
  • Vakakis, A. F. and R. H. Rand, "Normal Modes and Global Dynamics of a Two-Degree-of-Freedom Non-Linear System II: High Energies," International Journal of Nonlinear Mechanics, 27:5, 875-888, 1991.
  • Vakakis, A. F. and T. Caughey, "A Theorem on the Exact Nonsimilar Steady-State Motions of a Nonlinear Oscillator," Transactions ASME, Journal of Applied Mechanics, 59, 418-424, 1992.
  • Vakakis, A. F. and R. H. Rand, "Normal Modes and Global Dynamics of a Two-Degree-of-Freedom Nonlinear System I: Low Energies," International Journal of Nonlinear Mechanics, 27:5, 861-874, 1991.
  • Vakakis, A. F., J. W. Burdick, and T. K. Caughey, "An 'Interesting' Strange Attractor in the Dynamics of a Hopping Robot," International Journal of Robotics Research, 10:6, 606-618, 1991.
  • Caughey, T. K. and A. F. Vakakis, "A Method for Examining Steady-State Solutions of Forced Discrete Systems with Strong Non-Linearities," International Journal of Nonlinear Mechanics, 26:1, 89-103, 1991.
  • Vakakis, A. F. and T. K. Caughey, "A Technique for Modal Identification of Interfering Modes," Journal of Sound and Vibration, 146:3, 361-380, 1990.
  • Caughey, T. K., A. F. Vakakis, and J. Sivo, "Analytical Study of Similar Normal Modes and their Bifurcations in a Class of Strongly Non-Linear Systems," International Journal of Nonlinear Mechanics, 25:5, 521-533, 1990.
  • Ewins, D. J. and A. F. Vakakis, "An Alternative Method for SDOF Modal Analysis," International Journal of Analytical and Experimental Modal Analysis, 4:4, 144-149, 1989.
  • Vakakis, A. F. and S. A. Paipetis, "The Effect of a Viscously Damped Dynamic Absorber on a Linear Multi-Degree-of-Freedom System," Journal of Sound and Vibration, 105:1, 49-60, 1986.
  • Vakakis, A. F., "Dynamic Analysis of a Unidirectional Periodic Isolator Consisting of Identical Masses and Intermediate Distributed Resilient Blocks," Journal of Sound and Vibration, 103:1, 25-33, 1985.
  • Vakakis, A. F. and S. A. Paipetis, "Transient Response of Unidirectional Vibration Isolators with Many Degrees of Freedom," Journal of Sound and Vibration, 99:4, 557-562, 1985.
  • Paipetis, S. A. and A. F. Vakakis, "A Method of Analysis for Unidirectional Vibration Isolators with Many Degrees of Freedom," Journal of Sound and Vibration, 98:1, 13-23, 1985.

Invited Lectures

  • ￿Nonlinear Targeted Energy Transfer: Theory and Applications,￿ Department of Civil and Environmental Engineering, University of Illinois at Urbana ￿ Champaign, October 12, 2009.
  • ￿Nonlinear Normal Mode ￿ Based System Identification and Reduced Order Modeling,￿ Keynote Lecture, Euromech Colloquium 509: Nonlinear Normal Modes, Dimension Reduction and Localization in Vibrating Systems, Frascati (Rome), Italy, September 27-October 2, 2009.
  • ￿Applications of Strongly Nonlinear Dynamic Interactions in Mechanics and Engineering,￿ Professorial Lecture, Department of Mechanical Science and Engineering, University of Illinois at Urbana ￿ Champaign, September 10, 2009.
  • ￿Nonlinear Periodic Systems: Bands and Localized Motions,￿ Keynote Lecture, Symposium on the Dynamics of Band-Gap Materials and Structures, IDETC/CIE 2009, 22nd Biennial ASME Conference on Mechanical Vibration and Noise, San Diego, CA, August 30-September 2, 2009.
  • ￿Recent Advances in Multi-scale Nonlinear System Identification with Application to Structural Health Monitoring,￿ EDF Research and Development Division, Paris, France, July 7, 2009.
  • ￿Slow-Fast Partitions in Nonlinear Vibration Analysis and System Identification,￿ Keynote Lecture, International Conference on Structural Engineering Dynamics (ICEDyn 2009), Technical University of Lisbon, Ericeira, Portugal, 22-24 June, 2009.
  • ￿Reduced-Order Modeling of Strongly Nonlinear Modal Interactions Through Slow-Fast Partition of The Dynamics and Empirical Mode Decomposition,￿ Plenary Lecture, Workshop on Bifurcation and Model reduction Techniques for Large Multi-Disciplinary Systems (sponsored by AFRL/EOARD), University of Liverpool, UK, June 26-27, 2008.
  • ￿Nonlinear Energy Sink Technology for Elimination of Limit Cycle Oscillation ￿ NESTELCO,￿ AFOSR STTR Aeroelastic Limit Cycle Oscillation Management Review Meeting, AIAA SDM Conference, Schaumburg, Illinois, April 8, 2008 (presenter as part of NextGen Aeronautics, Inc. ￿ University of Illinois ￿ NES Technologies, Inc. ￿ Texas A&M University STTR team).
  • ￿Passive Targeted Energy Transfer in Mechanical and Structural Systems: Theory and Applications,￿ Department of Mechanical Engineering and Materials Science, Duke University, Raleigh-Durham, March 3, 2008.
  • ￿Passive Targeted Energy Transfer in Mechanical and Structural Systems: Theory and Applications,￿ Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, January 15, 2008.
  • ￿Nonlinear Energy Pumping: A New Method for Mitigating the Effects of High Energy, Short Duration Transient Loads,￿ Army Research Office, Research Triangle, North Carolina, July 9, 2004 (with L.A. Bergman and D.M. McFarland).
  • ￿Nonlinear Energy Pumping in Coupled Oscillators,￿ University of Palermo, Palermo, Italy, December 3, 2003.
  • ￿Nonlinear Energy Pumping in Coupled Mechanical Oscillators,￿ University of Reggio, Reggio di Calabria, Italy, December 1, 2003.
  • ￿Shock and Vibration Suppression by Means of Nonlinear Energy Sinks,￿ Sandia National Laboratory, Albuquerque, New Mexico, September 8, 2003.
  • ￿Nonlinear Energy Pumping Phenomena in Systems of Coupled Oscillators,￿ Division of Mechanics, National Technical University of Athens, June 13, 2003.
  • ￿Vibration Suppression and Shock Isolation of Structural Components Using Passive Nonlinear Energy Pumping Principles,￿ European Space Research and Technology Centre (ESA), Noordwijk, Leiden, The Netherlands, April 29, 2003.
  • ￿Passive Nonlinear Energy Pumping in Structures,￿ University of Aston, Birmingham, UK, March 28, 2003.
  • ￿Vibration Suppression through Energy Pumping in Strongly Nonlinear Energy Sinks,￿ Universite￿ de Liege, Liege, Belgium, March 18, 2003.
  • ￿Passive Nonlinear Energy Pumping in Structures￿ and ￿Identification and Modeling of Dynamic Friction Effects in Bolted Joints,￿ Series of two Lectures at the Sandia National Laboratory, Albuquerque, New Mexico, July 18, 2002 (with L.A. Bergman and D.M. McFarland).
  • ￿Nonlinear Energy Pumping in Coupled Mechanical Oscillators,￿ Institute of Mechanics, University of Novi Sad, Novi Sad, Yugoslavia, February 27, 2002.
  • ￿An Overview of Motion Localization and Energy Pumping in Coupled Nonlinear Oscillators,￿ Invited Plenary Lecture, 6th International Conference on Dynamical Systems ￿ Theory and Applications, Lodz, Poland, December 11, 2001.
  • ￿Nonlinear Energy Pumping in Mechanical Oscillators,￿ Invited Opening Lecture, University of Rome ￿La Sapienza,￿ July 10, 2001.
  • ￿Some Recent Results on Passive Nonlinear Energy Sinks in Systems of Coupled Oscillators,￿ Dept. of Mechanical and Industrial Eng., University of Illinois, Urbana, April 19, 2001.
  • ￿Order Reduction and Nonlinear Energy Pumping in Coupled Oscillators,￿ Department of Engineering Mechanics, University of Nebraska, Lincoln, Nebraska, March 27, 2000.
  • ￿Order Reduction and Nonlinear Energy Pumping in Coupled Oscillators,￿ Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, February 3, 2000.
  • "Modeling and Identification of Bolted Joints Through Laser Vibrometry," Sandia National Laboratory, Albuquerque, New Mexico, December 9, 1999 (with L.A. Bergman).
  • ￿Order Reduction and Nonlinear Energy Pumping in Coupled Oscillators,￿ Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, October 29, 1999.
  • ￿Nonlinear Normal Modes and Localization in Mechanical Systems,￿ Department of Mechanical Engineering, Michigan State University, East Lancing, October 28, 1999.
  • ￿Reduced-order Models and Nonlinear Energy Pumping in Structures,￿ Office of Naval Research, Washington, D.C., October 18, 1999.
  • ￿Nonlinear Energy Pumping in Coupled Oscillators,￿ Naval Research Laboratory, Washington D.C., September 23, 1999.
  • "Numerical and Experimental Dynamics of a Continuous Overhung Rotor Undergoing Vibro-impacts," General Motors Research and Development Center, Warren, Michigan, December 16, 1997.
  • "Linear and Nonlinear Localization Phenomena in the Dynamics of Flexible Mechanical Systems," National Technical University of Athens, Faculty of Mechanics, Athens, November 28, 1997.
  • "Dynamics of Layered Composite Structures," Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia, November 25, 1997.
  • "Use of Nonsmooth Transformations for Studying Strongly Nonlinear Oscillations in a Class of Dynamical Systems," Department of Mechanical Engineering, University of Illinois at Chicago, September 29, 1997.
  • ￿Effects of Defects on Rotor Operation and Development of a Monitoring-Prognostic Method for Early Defect Detection,￿ Electrical Power Research Institute, Palo Alto, CA, September 12, 1997 (with A.M.F. Azeez).
  • "An Overview of Nonlinear Localization and Motion Confinement in Mechanical Systems," QRDC, Inc., Minneapolis, Minnesota, July 24, 1997.
  • "Introduction to Nonlinear Normal Modes and Localization in Vibrating Systems," Series of five lectures, University of Rome ￿La Sapienza￿, Rome, Italy, November 25-27, 1996.
  • "Nonsmooth Transformations for Analyzing the Responses of Nonlinear Dynamical Systems" Technical University, Wien, Austria, November 6, 1996.
  • "Nonlinear Normal Modes and Localization in Nonlinear Mechanical Systems," Johannes Kepler University, Linz, Austria, November 4, 1996.
  • "Nonlinear Normal Modes and Localization in Nonlinear Mechanical Systems" Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia, October 17, 1996.
  • "Application of Nonlinear Localization in Vibration and Shock Isolation of Mechanical Systems" Honeywell Inc., Phoenix, AZ, August 20, 1996.
  • "Dynamics of Rotating Shafts with and without Bearing Defects," Electrical Power Research Institute, Palo Alto, CA, August 12, 1996 (with A.M.F. Azeez).
  • "Theoretical and Experimental Nonlinear Motion Confinement Phenomena in Flexible Systems," Institute of Chemical Physics, Russian Academy of Sciences, Moscow, Russia, June 29, 1996.
  • "Vibration Isolation of a Spacecraft Momentum Wheel Using Nonlinear Localization," GM Hughes Electronics, El Segundo, CA, December 4, 1995 (with E. Emaci and T.A. Nayfeh).
  • "Nonlinear Localization and Motion Confinement Phenomena in Flexible Mechanical Systems," Department of Mechanical and Aerospace Engineering, University of California, Los Angeles (UCLA), Los Angeles, CA, December 4, 1995.
  • "Localization and Motion Confinement Phenomena in Nonlinear Mechanical Systems," Department of Mechanical Engineering, Massachusetts Institute of Technology, Boston, MA, Sept. 22, 1995.
  • "Linear and Nonlinear Periodic Structures with Motion Confinement Properties," Naval Research Laboratory, Washington, D.C., July 19, 1995.
  • "Noise Modulation Strategies for Intake and Exhaust Engine Systems," invited speaker at the "Best of German and American Automotive Technology Conference," co-sponsored by Fraunhofer USA and the University of Michigan, Ann Arbor, MI, June 27-28, 1995.
  • "Experimental Methods for Fault Detection in Rotating Machinery, and Use of Integral Transforms for Studying Transient Heat Conduction in Layered Media," Electrical Power Research Institute, Palo Alto, CA, April 28, 1995 (with A.M.F. Azeez).
  • "Motion Confinement and Modal Energy Redistribution: The Active Nonlinearity Approach (ANA)," US Army Armament Research, Development and Engineering Center, Picatinny Arsenal, New Jersey, Dec. 9, 1994 (with Professor Joseph Bentsman).
  • "Vibration and Shock Isolation of Flexible Structures Using Passive/Active Motion Confinement," GM Hughes Electronics, El Segundo, CA, Aug. 31, 1994.
  • "Analytical and Experimental Studies of the Dynamics of Repetitive Nonlinear Structures," Department of Mechanical Engineering, Imperial College of Science, Technology and Medicine, University of London, July 29, 1994.
  • "Nonlinear Normal Modes in Vibrating Systems," 7th Summer School on Nonlinear Dynamics, University of Thrace, Xanthi, Greece, Aug. 1 and 2, 1994.
  • "Nonlinear Normal Modes in Repetitive Elastic Systems," Department of Mechanical Engineering, Technical University of Crete, Greece, May 23, 1994.
  • "Nonlinear Localization in Periodic Structures," Department of Engineering, University of Manchester, United Kingdom, May 17, 1994.
  • "Nonlinear Normal Modes and Localization in Continuous Oscillators," Department of Mechanical Engineering, Wayne State University, April 8, 1994.
  • "Nonlinear Normal Modes and Localization in Continuous Oscillators," Department of Theoretical and Applied Mechanics, Cornell University, Feb. 9, 1994.
  • "Nonlinear Normal Modes in Nonlinear Partial Differential Equations," State Technology and Chemistry University of Ukraine, Dniepropetrovsk, Ukraine, Nov. 17, 1993.
  • "Dynamic Analysis of the Human Knee Joint," invited presentation in the workshop "A Presentation of Rehabilitation Research Possibilities," College of Applied Life Studies, University of Illinois at Urbana-Champaign, May 15, 1993.
  • "Free and Forced Dynamics of a Class of Elastic Periodic Systems," Dow Chemical Company, Central Research, Midland, MI, June 25, 1992.
  • "Nonlinear Mode Localization and Motion Confinement in Vibrating Systems," School of Mechanical Engineering, Purdue University, June 19, 1992.
  • "Localized and Non-Localized Modes in a Class of Nonlinear Oscillators," Department of Aeronautical and Astronautical Engineering, University of Illinois at Urbana-Champaign, April 4, 1991.
  • "Nonlinear Modes in Vibrating Systems," Department of Theoretical and Applied Mechanics, Cornell University, November 14, 1990.
  • ￿Nonlinear Normal Modes in Vibrating Systems,￿ Department of Applied Mechanics, California Institute of Technology, August 5, 1990.
  • "Complex Modes in Vibrating Systems," Department of Mechanical Engineering, University of Patras, Patras, Greece, October 10, 1985.

Professional Societies

  • Member, ASME AMD Dynamics and Control of Structures and Systems Technical Committee, 1997-1999
  • Member, ASME Technical Committee on Applied Mechanics, 1996-1997
  • Member, ASME Technical Committee on Sound and Vibration, 1995-2001
  • Member of the Technical Committee, European Association of Structural Dynamics (EASD), 2009-date
  • Member, Technical Chamber of Greece
  • Member (Treasurer, 2001-08), Hellenic Society of Theoretical and Applied Mechanics (HSTAM)
  • Member, European Association for Structural Dynamics (EASD)
  • Fellow, American Society of Mechanical Engineers (ASME)

Research Honors

  • World Class Visiting Scientist Program, Air Force Research Laboratory, Dayton, OH, 2009
  • Xerox Award for Faculty Research, College of Engineering, University of Illinois, 1999
  • University Scholar Award, UIUC, 1996-1999
  • Junior Xerox Award for Faculty Research, College of Engineering, University of Illinois, 1995
  • NSF Young Investigator Award, National Science Foundation, 1994-1999
  • Center for Advanced Study Fellowship, University of Illinois, 1994-1995
  • Research Initiation Award, National Science Foundation, 1992-1995
  • Travel Award, US National Committee on Theoretical and Applied Mechanics, 1992
  • De' Karman Graduate Fellowship, De' Karman Fellowship Trust, 1989-90
  • Powell Graduate Fellowship, California Institute of Technology, 1988-89
  • Undergraduate Excellence Award, Technical Chamber of Greece, 1983-84
  • Two Undergraduate Scholarships, Hellenic State Scholarships Institution, 1981-83
  • Honorary Diploma, Hellenic Mathematical Society (E.M.E.), for top ranking in the Pan-Hellenic student competition in Mathematics, 1979