Publications: 1990-1994

Journal Publications

1990

  • Analytical Study of Similar Normal Modes and their Bifurcations in a Class of Strongly Non-Linear Systems 1990. T.K. Caughey, A.F. Vakakis, J. Sivo. International Journal of Non-Linear Mechanics, Vol. 25, No 5, pp. 521-533.

1991

  • A Method for Examining Steady State Solutions of Forced Discrete Systems with Strong Non-linearities 1991. T.K. Caughey, A.F. Vakakis. International Journal of Non-Linear Mechanics, Vol. 26, No 1, pp. 89-103.
  • A Technique for Modal Identification of Interfering Modes 1991. A.F. Vakakis, T.K. Caughey. Journal of  Sound and Vibration, Vol. 146, No 3, pp. 361-380.
  • An “Interesting” Strange Attractor in the Dynamics of a Hopping Robot  1991. A.F. Vakakis, J.W. Burdick, T.K. Caughey. International Journal of Robotics Research, Vol. 10, No 6, pp. 606-618.
  • A Theorem on the Exact Nonsimilar Steady State Motions of a Nonlinear Oscillator 1992. A.F. Vakakis, T.K. Caughey. Journal of Applied Mechanics Vol. 59, pp. 418-424.

1992

  • Fundamental and Subharmonic Resonances in a System with a “1-1” Internal Resonance  1992. A.F. Vakakis. Nonlinear Dynamics, Vol. 3, pp. 123-143.
  • Normal Modes and Global Dynamics of a Two Degree-of-Freedom Nonlinear System  I: Low Energies 1992. A.F. Vakakis, R.H. Rand. International Journal of Non-Linear Mechanics, Vol. 27, No 5, pp. 861-874.
  • Normal Modes and Global Dynamics of a Two Degree-of-Freedom Nonlinear System  II: High Energies 1992. A.F. Vakakis, R.H. Rand. International Journal of Non-Linear Mechanics, Vol. 27, No 5, pp. 875-888.
  • Dynamics of a Nonlinear Periodic Structure with Cyclic Symmetry 1992. A.F. Vakakis. Acta Mechanica  Vol. 95, pp. 197-226.
  • Bifurcation of Nonlinear Normal Modes in a Class of Two Degree of Freedom Systems 1992. R.H. Rand, C.H. Pak, A.F. Vakakis. Acta Mechanica  [Suppl] 3, pp. 129-145.
  • Nonsimilar Normal Oscillations in a Strongly Nonlinear Discrete System 1992. A.F. Vakakis. Journal of Sound and Vibration  Vol. 158, No 2, pp. 341-361.

1993

  • Mode Localization in a Class of Multi-Degree-of-Freedom Nonlinear Systems with Cyclic Symmetry  1993. A.F. Vakakis, C. Cetinkaya. SIAM Journal on Applied Mathematics  Vol. 53, pp. 265-282.
  • A Method for Analyzing the Interaction of Nondispersive Structural Waves and Nonlinear Joints 1993. A.H. Nayfeh, A.F. Vakakis, T. Nayfeh. Journal of the Acoustical Society of America  Vol. 93, No. 2, pp. 849-856.
  • A Multiple-Scales Analysis of Nonlinear, Localized Modes in a Cyclic Periodic System 1993. A.F. Vakakis, T. Nayfeh, M. King. Journal of Applied Mechanics Vol. 60, No. 2, pp. 388-397.
  • Analytic Study of Linear and Nonlinear Mode Localization 1993. A.F. Vakakis. Brief Note, Journal of Applied Mechanics  Vol. 60, No. 2, pp. 555-557.
  • Scattering of Structural Waves by Nonlinear Joints 1993. A.F. Vakakis. Journal of Vibration and Acoustics  Vol. 115, No. 4, pp. 403-410.

1994

  • Exponentially Small Splittings of Manifolds in a Rapidly Forced Duffing System 1994. A.F. Vakakis. Letter-to-the-Editor, Journal of Sound and Vibration Vol. 170, No.1, pp. 119-129.
  • Subharmonic Travelling Waves in a Geometrically Nonlinear Circular Plate 1994. T.A. Nayfeh, A.F. Vakakis. International Journal of Non-Linear Mechanics Vol. 29, No 2, pp. 233-246.
  • Free and Forced Dynamics of a Class of Periodic Elastic Systems 1994. A.F. Vakakis, M. El-Raheb, C. Cetinkaya. Journal of Sound and Vibration Vol. 172, No.1, pp. 23-46.
  • Effects of Weak Nonlinearities on Modal Analysis 1994. A.F. Vakakis, D.J. Ewins. Journal of Mechanical Systems and Signal Processing Vol. 8, No. 2, pp. 175-198.
  • Forced Localization in a Periodic Chain of Nonlinear Oscillators 1994. A.F. Vakakis, M.E. King, A.J. Pearlstein. International Journal of Non-Linear Mechanics Vol. 29, No. 3, pp. 429-447.
  • A Method for Studying Waves with Spatially Localized Envelopes in a Class of Nonlinear Partial Differential Equations 1994. M.E. King, A.F. Vakakis. Wave Motion Vol. 19, pp. 391-405.
  • An Energy-Based Formulation for Computing Nonlinear Normal Modes in Undamped Continuous Systems 1994. M.E. King, A.F. Vakakis. Journal of Vibration and Acoustics Vol. 116, No. 3, pp. 332-340.
  • Passive Spatial Confinement of Impulsive Excitations in Coupled Nonlinear Beams 1994. A.F. Vakakis. AIAA Journal, Vol. 32, No. 9, pp. 1902-1910.