Experimental evidence of quasiperiodicity and its breakdown in the column-pendulum oscillator

G. Mustafa, A. Ertas

Research output: Contribution to journalArticle

15 Scopus citations

Abstract

A new vibration absorbing device is introduced for large flexible structures. The phase-space of the experimental system is reconstructed via delay-coordinate embedding technique. Experimental dynamics indicate that the motion is predominantly quasiperiodic, confirming the existence of invariant tori. Within the quasiperiodic region, there are windows containing intricate webs of phase-locked periodic responses. The quasiperiodic and the phase-locked responses are clearly visualized on the cover of the torus. Increase in the amplitude of excitation results in distortion of the invariant torus due to the resonance overlap. Due to the resonance overlap, the return map extracted from the experimental data becomes noninvertible. Furthermore, a burst of frequencies appears on the Fourier spectrum. This scenario is similar to many experimental observations ofhydrodynamical instabilities; the breakup of the tori in these experiments is related to the onset of turbulence.

Original languageEnglish
Pages (from-to)218-225
Number of pages8
JournalJournal of Dynamic Systems, Measurement and Control, Transactions of the ASME
Volume117
Issue number2
DOIs
StatePublished - Jun 1995

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