Publications: 1995-1999

Journal Publications

(*) Undergraduate student at the time of submission.

1995

  • Mode Localization in a System of Coupled Flexible Beams with Geometric Nonlinearities 1995. M. King, A.F. Vakakis. Zeitschrift fur Angewandte Mathematik und Mechanik – ZAMM (Journal of Applied Mathematics and Mechanics) Vol. 75, No. 2, pp. 127-139.
  • Analytic Evaluation of Periodic Responses of a Forced Nonlinear Oscillator 1995. A.F. Vakakis, C. Cetinkaya. Nonlinear Dynamics, Vol. 7, pp. 37-51.
  • A Very Complicated Structure of Resonances in a Nonlinear System with Cyclic Symmetry: Nonlinear Forced Localization 1995. M.E. King, A.F. Vakakis. Nonlinear Dynamics, Vol. 7, pp. 85-104.
  • Asymptotic Analysis of Nonlinear Mode Localization in a Class of Coupled Continuous Structures 1995. M.E. King, A.F. Vakakis. International Journal of Solids and Structures,  Vol. 32, No. 8/9, pp. 1161-1177.
  • Axisymmetric Elastic Wave Propagation in Weakly Coupled Layered Media of Infinite Radial Extent 1995. C. Cetinkaya, A.F. Vakakis, and M. El-Raheb. Journal of Sound and Vibration,  Vol. 182, No. 2, pp. 283-302.
  • Experimental Nonlinear Steady-State Localization in Coupled Beams with Active Nonlinearities 1995. M. King, J. Aubrecht, A.F. Vakakis. Journal of Nonlinear Science, Vol. 5, No. 6, pp. 485-502.
  • Nonlinear Wave Transmission in a Mono-coupled Elastic Periodic System 1995. A.F. Vakakis, M.E. King. Journal of the Acoustical Society of America, Vol. 98, No. 3, pp. 1534-1546.
  • Propagation Zones of Weakly Bonded Layered Materials 1995. D.A. Sotiropoulos, A.F. Vakakis. Letter-to-the-Editor, Journal of Sound and Vibration, Vol. 187, No. 1, pp. 178-183.

1996

  • Transient Axisymmetric Stress Wave Propagation in Weakly Coupled Layered Structures 1996. C. Cetinkaya, A.F. Vakakis. Journal of Sound and Vibration, Vol. 194, No. 3, pp. 389-402.
  • Experimental Study of Nonlinear Transient Motion Confinement in a System of Coupled Beams 1996. J. Aubrecht, A.F. Vakakis, T.-C. Tsao, J. Bentsman. Journal of Sound and Vibration, Vol. 195, No. 4, pp. 629-648.
  • Dispersion of Stress Waves in One-dimensional Semi-infinite, Weakly coupled Layered Systems 1996. A.F. Vakakis, C. Cetinkaya. International Journal of Solids and Structures , Vol. 33, No. 28, pp. 4195-4213.
  • Localized and Non-localized Nonlinear Normal Modes in a Multi-Span Beam With Geometric Nonlinearities 1996. J. Aubrecht, A.F. Vakakis. Journal of Vibration and Acoustics, Vol. 118, No. 4, pp. 533-542.
  • Primary Pulse Transmission in a Strongly Nonlinear Periodic System 1996. V.N. Pilipchuk, M.A.F. Azeez, A.F. Vakakis. Nonlinear Dynamics, Vol. 11, No. 1, pp. 61-81.
  • An Energy-based Approach to Computing Resonant Nonlinear Normal Modes 1996. M.E. King, A.F. Vakakis. Journal of Applied Mechanics, Vol. 63, No. 3, pp. 810-819.
  • An Invariant Manifold Approach for Studying Waves in a One-Dimensional Array of Nonlinear Oscillators 1996. I.T. Georgiou, A.F. Vakakis. International Journal of Nonlinear Mechanics, Vol. 31, No. 6, pp. 871-886.

1997

  • Impurity Modes in Disordered Nonlinear Lattices 1997. E. Emaci(*), D. Kim, A.F. Vakakis. International Journal of Non-Linear Mechanics, Vol. 32, No. 1, pp. 21-30.
  • Numerical and Experimental Study of Nonlinear Localization in a Flexible Structure with Vibro-impacts 1997. E. Emaci, T.A. Nayfeh, A.F. Vakakis. Zeitschrift fur Angewandte Mathematik und Mechanik – ZAMM (Journal of Applied Mathematics and Mechanics), Vol. 77, No. 7, pp. 527-541.
  • Study of a Class of Subharmonic Motions Using a Non-Smooth Temporal Transformation (NSTT) 1997. V.N. Pilipchuk, A.F. Vakakis, M.A.F. Azeez. Physica D, Vol. 100, pp. 145-164.
  • Near Field Transient Axisymmetric Waves in Layered Structures 1997. C. Cetinkaya, J. Brown, M.A.F. Azeez, A.F. Vakakis. International Journal for Numerical Methods in Engineering, Vol. 40, pp. 1639-1665.
  • Study of Two-Dimensional Axisymmetric Breathers Using Pade’ Approximants 1997. E. Emaci, A.F. Vakakis, I.V. Andrianov, Yu. V. Mikhlin. Nonlinear Dynamics, Vol. 13, pp. 327-338.
  • Application of Nonlinear Localization to the Optimization of a Vibration Isolation System 1997. T.A. Nayfeh, E. Emaci, A.F. Vakakis. AIAA Journal, Vol. 35, No. 8, pp. 1378-1386.
  • Resonant Oscillations of a Weakly Coupled Nonlinear Layered System 1997. A.F. Vakakis, M.E. King. Acta Mechanica, Vol. 128, No.1-2, pp. 59-80.

1998

  • Discreteness Effects in the Forced Dynamics of a String on a Periodic Array of Nonlinear Supports 1998. G. Salenger, A.F. Vakakis. International Journal of Nonlinear Mechanics, Vol. 33, No. 4, pp. 659-673.
  • Survival Analysis of a Deep Water Floating Offshore Platform About its Critical Axis Including Coupling 1998. R.V. Kota, J.M. Falzarano, A.F. Vakakis. International Journal of Offshore and Polar Engineering, Vol. , No. 2, pp. 115-121.
  • Study of the Oscillations of a Nonlinearly Supported String Using Non-smooth Transformations 1998. V.N. Pilipchuk, A.F. Vakakis. Journal of Vibration and Acoustics, Vol. 120, pp. 434-440.
  • Analytic Approximation of the Homoclinic Orbit of the Lorenz System at σ=10, β=8/3 and ρ=13.926… 1998. A.F. Vakakis, M.A.F. Azeez. Nonlinear Dynamics, Vol. 15, pp. 245-257.
  • Generation of Localization in a Discrete Chain with Periodic Boundary Conditions: Numerical and Analytical Results 1998. A.F. Vakakis, Gary Salenger. SIAM Journal on Applied Mathematics, Vol. 58, No. 6, pp. 1730-1747.
  • Dynamics of Trusses: Numerical and Experimental Results. E. Emaci, M.A.F. Azeez, A.F. Vakakis 1998. Letter-to-the-Editor, Journal of Sound and Vibration, Vol. 214, No. 5, pp. 953-964.
  • Localized and Periodic Waves with Discreteness Effects 1998. G. Salenger, A.F. Vakakis. Mechanics Research Communications, Vol.25, No.1, pp. 97-104.
  • Direct and Inverse Problems Encountered in Vibro-impact Oscillations of a Discrete System 1998. Yu.V. Mikhlin, A.F. Vakakis, G. Salenger. Journal of Sound and Vibration, Vol. 216, No. 2, pp. 227-250.
  • Exact Solutions for Transient Wave Propagation in a Two-Dimensional Array of Particles 1998. G. Boeckle, A.F. Vakakis, G. Salenger. Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM), Vol. 78, No.11, pp. 759-770.
  • Sensitive Dependence on Initial Conditions of Strongly Nonlinear Periodic Orbits of the Forced Pendulum 1998. V.N. Pilipchuk, A.F. Vakakis. Nonlinear Dynamics, Vol.16, pp. 223-237.

1999

  • Numerical and Experimental Analysis of a Continuously Overhung Rotor Undergoing Vibro-impacts 1999. M.A.F. Azeez, A.F. Vakakis. International Journal of Non-Linear Mechanics, Vol. 34, pp. 415-435.
  • Use of Nonlinear Localization for Isolating Structures from Earthquake-Induced Motions 1999. A.F. Vakakis, A.N. Kounadis, I. Raftoyiannis. Journal of Earthquake Engineering and Structural Dynamics, Vol. 28, pp. 21-36.
  • Buckling of an Elastic Ring Forced by a Periodic Array of Compressive Loads 1999. A.F. Vakakis, T.M. Atanackovic. Journal of Applied Mechanics, Vol. 66, No. 2, pp. 361-367.
  • Interaction Between Slow and Fast Oscillations in an Infinite Degree-of-freedom Linear Structure Coupled to a Nonlinear Subsystem 1999. I.T.Georgiou, I. Schwartz, E. Emaci, A.F. Vakakis. Journal of Applied Mechanics, Vol. 66, No. 2, pp. 448-459.
  • Karhunen-Loeve Decomposition of the Transient Dynamics of a Multibay Truss 1999. Xianghong Ma, A.F. Vakakis. AIAA Journal, Vol. 37, No. 8, pp. 939-946.
  • Exact Solutions for the Problem of the Vibro-Impact Oscillations of a Discrete System with Two Degrees of Freedom 1999. M.A.F. Azeez, A.F. Vakakis, L.I. Manevich. PMM – Journal of Applied Mathematics and Mechanics (Prikladnaya Matematika i Mekhanika), Vol. 63, No. 4, pp. 527-530.
  • Transitions from Strongly- to Weakly-Nonlinear Motions of Damped Nonlinear Oscillators 1999. G. Salenger, A.F. Vakakis, O. Gendelman, L. Manevitch, I. Andrianov. Nonlinear Dynamics, Vol. 20, No. 2, pp. 99-114.

Invited Review and Tutorial Papers

1996

  • Nonlinear Mode Localization in Systems Governed by Partial Differential Equations 1996. A.F. Vakakis. Applied Mechanics Reviews [special Issue on ‘Localization and the effects of irregularities in structures,’ H. Benaroya (ed.)], Vol. 49, No.2, pp. 87-99

1997

  • Nonlinear Normal Modes and their Applications in Vibration Theory: An Overview 1997. A.F. Vakakis, Invited paper, Journal of Mechanical Systems and Signal Processing, Vol. 11, No.1, pp. 3-22.

Research Monographs and Books Edited

1996

Chapters or Articles in Books

1995

  • Nonlinear Mode Localization and Passive Motion Confinement in Discrete and Continuous Oscillators, A.F. Vakakis. Contributed chapter in Wave Motion, Intelligent Structures and Nonlinear Mechanics, A. Guran and D. Inman (eds.), World Scientific Publisher, Singapore, 1995.

1997

  • Two Applications of Nonlinear Normal Modes in Vibration Theory, M.E. King, J. Aubrecht, A.F. Vakakis. Contributed chapter in Nonlinear Dynamics, The Richard Rand 50th Birthday Volume, A. Guran (ed.), World Scientific Publisher, Singapore, 1997.

1998

  • Nonlinear Normal Modes and Wave Transmission in a Class of Periodic Continuous Systems, V.N. Pilipchuk, A.F. Vakakis. Contributed chapter in Dynamics and Control of Distributed Systems, H.S. Tzou and L.A. Bergman (eds.), Cambridge University Press, 1998.

1999

  • Spatially Localized and Chaotic Motions of a Discretely Supported Elastic Continuum, G.D. Salenger, A.F. Vakakis. Contributed article in New Applications of Nonlinear and Chaotic Dynamics in Mechanics (IUTAM), F.C. Moon (ed.), Kluwer Academic Publishers, New York, 1999.
  • Solitary Waves and Chaos in the Dynamics of a Stiff-Soft Periodic Array of Oscillator-Pendulum Units. I.T. Georgiou and A.F. Vakakis. Contributed article in Problems of Nonlinear Mechanics and Physics of Materials (in Russian: Problemy nelinejnoj mechaniki I fiziki materialov, Sbornik rabot), Volume in honor of the 60th Birthday of Prof. Leonid I.Manevitch, A.I. Manevitch (ed.), Publishing Office of Pridneprovsk Academy of Civil Engineering and Architecture, Dnepropetrovsk, Ukraine, 1999.