Study of the resonances of a nonlinear, periodic, cyclic structure

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The free and forced motions of a nonlinear periodic structure with cyclic symmetry are studied. This system can only possess n `similar' nonlinear modes of free oscillation, and no other modes are possible. The nonlinear interaction between a pair of modes with orthogonal nodal diameters is studied, and it is found that the only possible orbitally stable periodic motions are free travelling waves, that propagate through the structure in the clockwise and anticlockwise directions. Under harmonic forcing, a bifurcation of forced travelling waves from forced normal mode motions is detected, and `jump' phenomena between branches of periodic solutions are observed.

Original languageEnglish (US)
Title of host publicationNonlinear Vibrations
PublisherPubl by ASME
Pages151-158
Number of pages8
ISBN (Print)0791810925
StatePublished - Dec 1 1992
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Anaheim, CA, USA
Duration: Nov 8 1992Nov 13 1992

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume50

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityAnaheim, CA, USA
Period11/8/9211/13/92

ASJC Scopus subject areas

  • Engineering(all)

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