Explorations into the Nonlinear Dynamics of a Single DOF System Coupled to a Wideband Auto-Parametric Vibration Absorber

  • Anil K. Bajaj
  • Ashwin Vyas
  • Arvind Raman
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 122)

Abstract

The nonlinear dynamics of a resonantly excited linear oscillator coupled to an array of weakly coupled nonlinear pendulums is investigated under 1:1:…:1:2 internal resonance between the pendulums and the linear oscillator. In the first part of the work, periodic solutions and bifurcations under harmonic excitation of the linear oscillator are investigated. In the second part of the work, numerical simulations of the unperturbed Hamiltonian are presented to demonstrate the complex dynamics of the system even in the absence of external excitation.

Key words

Autoparametric system vibration absorber internal resonances Hamiltonian 
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Copyright information

© Springer 2005

Authors and Affiliations

  • Anil K. Bajaj
    • 1
  • Ashwin Vyas
    • 1
  • Arvind Raman
    • 1
  1. 1.School of Mechanical EngineeringPurdue University West LafayetteUSA

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