Multipulse orbits in the motion of flexible spinning discs

N. Malhotra, N. Sri Namachchivaya, R. J. McDonald

Research output: Contribution to journalArticlepeer-review

Abstract

Summary. The global dynamics of flexible spinning discs are studied. The discs studied are parametrically excited in their spin rate, and have imperfections that cause symmetry-breaking. After determining the equations of motion in a suitable form, the energy-phase method is employed to show the existence of chaotic dynamics by identifying multipulse jumping orbits in the perturbed phase space. We provide restrictions on the damping, forcing, and symmetry-breaking parameters in order for these complicated dynamics to occur. The dissipative version of the energy-phase method predicts a wider range of values for which chaotic dynamics occurs than the traditional Melnikov method. The results are then discussed in terms of the physical motion of the spinning disc system. The multipulse orbits are manifested in the physical system as a shifting between two different nodal configurations of the disc. When the motion is chaotic, an observer will see a random jumping between the two nodal configurations of the disc.

Original languageEnglish (US)
Pages (from-to)1-26
Number of pages26
JournalJournal of Nonlinear Science
Volume12
Issue number1
DOIs
StatePublished - 2002

Keywords

  • Global dynamics protect
  • Multipulse orbits
  • Spinning disc
  • Šilnikov orbits

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Engineering
  • Applied Mathematics

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