Publications: 2000-2004

Journal Publications

(*) Undergraduate student at the time of submission.

2000

  • Nonlinear Normal Modes and Nonparametric System Identification of Nonlinear Oscillators 2000. X. Ma, M.A.F. Azeez, A.F. Vakakis. Mechanical Systems and Signal Processing, Vol.14, No.1, pp. 37-48.
  • Experimental Verification of Shock Reduction Achieved Through Nonlinear Localization 2000. Xianghong Ma, T.A. Nayfeh, A.F. Vakakis, L.A. Bergman. Letter-to-the-Editor, Journal of Sound and Vibration, Vol. 230, No.5, pp. 1177-1184.
  • Axisymmetric Transient Solutions of the Heat Diffusion Problem in Layered Composite Media 2000. M.F.A. Azeez, A.F. Vakakis. International Journal of Heat and Mass Transfer, Vol. 43, No. 20, pp. 3883-3895.
  • Transitions from Localization to Nonlocalization in Strongly Nonlinear Damped Oscillators 2000. O. Gendelman, A.F. Vakakis. Chaos, Solitons and Fractals (Special Issue on ‘Localization Problems in Engineering’), Vol. 11, pp. 1535-1542.

2001

  • Normal Modes and Boundary Layers for a Slender Tensioned Beam on a Nonlinear Foundation 2001. F. Pellicano, A.F. Vakakis. Nonlinear Dynamics (Special Issue on ‘Normal Modes and Localization in Nonlinear Systems’), Vol. 25, No.1-3, pp. 79-93.
  • Experimental Nonlinear Localization in a Periodically Forced Repetitive System of Coupled Magnetoelastic Beams 2000. J. Emad(*), A.F. Vakakis, N. Miller. Physica D, Vol.137, pp. 192-201.
  • A New Method to Predict Vessel/Platform Critical Dynamics in a Realistic Seaway, 2000. S. Vishnubhotla, J. Falzarano, A.F. Vakakis. Philosophical Transactions of the Royal Society (Theme issue on ‘Nonlinear Dynamics of Ships’), Vol. 358, No. 1771, pp.1967-1981.
  • Nonlinear Vibrations and Multiple Resonances of Fluid-Filled Circular Shells. Part I: Equations of Motion and Numerical Results 2000. M. Amabili, F. Pellicano, A.F. Vakakis. Journal of Vibration and Acoustics, Vol.122, No.4, pp. 346-354.
  • Nonlinear Vibrations and Multiple Resonances of Fluid-Filled Circular Shells. Part II: Perturbation Analysis 2000. F. Pellicano, M. Amabili, A.F. Vakakis. Journal of Vibration and Acoustics, Vol.122, No.4, pp. 355-364.
  • Proper Orthogonal Decomposition (POD) of a Class of Vibro-impact Oscillations 2001. M.F.A. Azeez, A.F. Vakakis. Journal of Sound and Vibration, Vol. 240, No.5, pp. 859-889.
  • Passive Transient Motion Confinement due to Nonlinear Joints in Large-scale Flexible Systems 2001. T.A. Nayfeh, A.F. Vakakis. Nonlinear Dynamics, Vol. 25, pp. 333-354.
  • Mode Localization Induced by a Nonlinear Active Loop. R.M’Closkey, A.F. Vakakis, R. Gutierrez 2001. Nonlinear Dynamics (Special Issue on ‘Normal Modes and Localization in Nonlinear Systems’), Vol. 25, No.1-3, pp. 221-236.
  • Energy ‘Pumping’ in Nonlinear Mechanical Oscillators I: Dynamics of the Underlying Hamiltonian Systems 2001. O.Geldenman, L.I.Manevitch, A.F.Vakakis, R.M’Closkey. Journal of Applied Mechanics, Vol. 68, No. 1, pp. 34-41.
  • Energy ‘Pumping’ in Nonlinear Mechanical Oscillators II: Resonance Capture 2001. A.F. Vakakis, O.Geldenman. Journal of Applied Mechanics, Vol. 68, No. 1, pp. 42-48.
  • Nonlinear Modal Interactions in the Oscillations of a Liquid Drop in a Gravitational Field 2001. I. Rozhkov, A.F. Vakakis, R.H. Rand. International Journal of Non-Linear Mechanics, Vol. 36, pp. 803-812.
  • Nonlinear Transient Localization and Beat Phenomena Due to Backlash in a Coupled Flexible System 2001. X. Ma, A.F. Vakakis. Journal of Vibration and Acoustics, Vol. 123, No. 1, pp. 36-44.
  • Karhunen-Loeve Modes of a Truss: Transient Response Reconstruction and Experimental Verification 2001. X. Ma, A.F.Vakakis and L.A. Bergman. AIAA Journal, Vol. 39, No. 4, pp. 687-696.
  • Inducing Passive Nonlinear Energy Sinks in Linear Vibrating Systems 2001. A.F. Vakakis. Journal of Vibration and Acoustics, Vol. 123, No. 3, pp. 324-332.
  • Identification of Bolted Joints Through Laser Vibrometry 2001. X. Ma, L.A. Bergman, A.F. Vakakis. Journal of Sound and Vibration, Vol. 246, No.3, pp. 441-460.

2002

  • Complex Dynamics of Discrete Systems with Partial Follower Forces and no Initial Imperfections 2002. D. Sophianopoulos, A.N. Kounadis, A.F. Vakakis. International Journal of Nonlinear Mechanics (Special Issue on ‘Instabilities of Structures’), Vol.37, No.7, pp. 1121-1138.
  • On the Solution of the Unforced Duffing Oscillator with Damping 2002. D. Panayotounakos, A. Panayotounakou(*), A.F. Vakakis. Nonlinear Dynamics, Vol. 28, pp. 1-16.
  • Mobile Offshore Base Platform Nonlinear Dynamics in a Realistic (Random) Seaway 2002. S. Vishnubhotla, J. Falzarano, A.F. Vakakis. Journal of Offshore Mechanics and Arctic Engineering, Vol.124, pp. 48-52.

2003

  • Dual Mode Vibration Isolation Based on Nonlinear Mode Localization 2003. X. Jiang, A.F. Vakakis. International Journal of Nonlinear Mechanics, Vol. 38, No. 6, pp. 837-850.
  • Shock Isolation Through the Use of Nonlinear Energy Sinks 2003. A.F. Vakakis. Journal of Vibration and Control (Commemorative Issue on the Occasion of Professor Friedrich G. Pfeiffer’s 65th Birthday), Vol. 9, No. 1-2, pp. 79-93.
  • Dynamic Interaction of a Semi-infinite Linear Chain of Coupled Oscillators with a Strongly Nonlinear End Attachment 2003. L.I. Manevitch, O. Gendelman, A. Musienko, A.F. Vakakis, L.A. Bergman. Physica D, Vol. 178, No. 1-2, pp. 1-18.
  • On the Lack of Analytic Solutions of the Van der Poll Oscillator 2003. D. Panayotounakos, A. Panayotounakou (*), A.F. Vakakis. Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), (Short Communication), Vol. 83, No. 8, pp. 1-5.
  • (*) Undergraduate student at the time of submission.
  • Dynamics of Linear Discrete Systems Connected to Local Essentially Nonlinear Attachments 2003. A.F. Vakakis, L.I. Manevitch, O. Gendelman, L.A. Bergman. Journal of Sound and Vibration, Vol. 264, pp. 559-577.
  • A Degenerate Bifurcation Structure in the Dynamics of Coupled Oscillators with Essential Stiffness Nonlinearities 2003. O. Gendelman, L.I. Manevitch, A.F. Vakakis, L.A. Bergman. Nonlinear Dynamics, Vol. 33, No. 1, pp. 1-10.
  • Steady State Passive Nonlinear Energy Pumping in Coupled Oscillators: Theoretical and Experimental Results 2003. X. Jiang, D.M. McFarland, L.A. Bergman, A.F. Vakakis. Nonlinear Dynamics, Vol. 33, No. 1, pp. 87-102.
  • Designing a Linear Structure with a Local Nonlinear Attachment for Enhanced Energy Pumping 2003. A.F. Vakakis. Meccanica, Vol. 38, No. 6, pp. 677-686.
  • A Three-Dimensional Nonlinear Reduced-Order Predictive Joint Model 2003. Y. Song, C.J. Hartwigsen, LA. Bergman, A.F. Vakakis. Journal of Earthquake Engineering and Engineering Vibration, Vol. 2, No.1, pp. 59-73.

2004

  • Nonlinear Dynamics of a System of Coupled Oscillators with Essential Stiffness Nonlinearities 2004. A.F. Vakakis, R.H. Rand. International Journal of Non-Linear Mechanics, Vol. 39, pp. 1079-1091.
  • Simulation of Nonlinear Dynamics of Beam Structures with Bolted Joints Using Adjusted Iwan Beam Elements 2004. Y. Song, C.J. Hartwigsen, L.A. Bergman, A.F. Vakakis. Journal of Sound and Vibration, Vol. 273, No. 1-2, pp. 249-276.
  • Isolated Resonance Captures and Resonance Capture Cascades Leading to Single- or Multi-Mode Passive Energy Pumping in Damped Coupled Oscillators 2004. A.F. Vakakis, D.M. McFarland, L.A. Bergman, L.I. Manevitch, O. Gendelman. Journal of Vibration and Acoustics, Vol. 126, No.2, pp. 235-244.
  • Experimental Study of Nonlinear Effects in a Typical Shear Lap Joint Configuration 2004. C.J. Hartwigsen, Y. Song, D.M. McFarland, L.A. Bergman, A.F. Vakakis. Journal of Sound and Vibration, Vol. 277, pp. 327-351.
  • Transient Resonant Interactions of Linear Chains with Essentially Nonlinear End Attachments Leading to Passive Energy Pumping 2004. P.N. Panagopoulos, A.F. Vakakis, S. Tsakirtzis, International Journal of Solids and Structures, Vol. 41, No. 22-23, pp. 6505-6528.
  • Transient Dynamics of a Dispersive Elastic Wave Guide Weakly Coupled to an Essentially Nonlinear End Attachment 2004. A.F. Vakakis, L.I. Manevitch, A. Musienko, G. Kerschen, L.A. Bergman. Wave Motion, Vol. 41/2, pp. 109-132.

Research Monographs and Books Edited

2002

2004

Chapters or Articles in Books

2001

  • Exact Solutions for a Discrete System Undergoing Free Vibro-impact Oscillations, L. Manevitch, A.F. Vakakis. Contributed article in Dynamics of Vibro-Impact Systems, V.I. Babitsky (ed.), Springer Verlag, Berlin, Heidelberg, New York, 2001.
  • Nonlinear Vibrations: Nonlinear Normal Modes, A.F. Vakakis. Contributed article in Encyclopedia of Vibration, S.G. Braun, D.J. Ewins, S.S. Rao (eds.), Academic Press, London, 2001.