The 'Indian wire trick' via parametric excitation: a comparison between theory and experiment

T Mullin, AR Champneys, WB Fraser, J Galan, D Acheson

Research output: Contribution to journalArticle (Academic Journal)peer-review

15 Citations (Scopus)

Abstract

A seemingly paradoxical experiment is described whereby a length of wire is stabilized upside down by vertical periodic oscillation of its support. The experimental results reveal an upper and a lower bound on the excitation frequency for stability. The results of recent theories are presented and used to explain the essential details of the observations. The theory relies on a novel phenomenon of so-called resonancetongue interaction. The result is verified via asymptotic calculations based on a one-dimensional rod model and numerical results on a spatially discretized system of links. This gravity-defying effect has potential application to the stabilization of other spatially extended systems via parametric excitation.
Translated title of the contributionThe 'Indian wire trick' via parametric excitation: a comparison between theory and experiment
Original languageEnglish
Pages (from-to)539 - 546
Number of pages8
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume459 (2031)
DOIs
Publication statusPublished - Mar 2003

Bibliographical note

Publisher: The Royal Society
Other: IDS No: 654HE

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