Subharmonic Motion of Floating Cranes

Katrin Ellermann, Edwin Kreuzer

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Abstract



As an example of the nonlinear phenomena in offshore engineering the subharmonic motion of a floating crane is investigated. This nonlinear behavior was observed in experiments as well as simulations for a periodically forced floating crane. The range of operation, in which initial conditions and disturbances influence the type of motion significantly, are of special interest – as well as bifurcation points, where the dynamics change qualitatively due to a small change of one of the parameters.

Two different mathematical tools for the investigation of these critical ranges are described: The multiple scales method allows for the analysis of the oscillating system in frequency domain. Path following algorithms are applied in the numerical bifurcation analysis. The results of both tools are in good agreement and can assist in the evaluation of operating conditions.
Original languageEnglish
Title of host publicationProceedings in Applied Mathematics and Mechanics
PublisherWiley-VCH
Pages62-63
Volume2
DOIs
Publication statusPublished - 2003
EventAnnual Meeting of the International Association of Applied Mathematics and Mechanics - Padua, Italy
Duration: 24 Mar 200328 Mar 2003

Conference

ConferenceAnnual Meeting of the International Association of Applied Mathematics and Mechanics
CountryItaly
CityPadua
Period24/03/0328/03/03

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Fields of Expertise

  • Sonstiges

Treatment code (Nähere Zuordnung)

  • Theoretical
  • Basic - Fundamental (Grundlagenforschung)
  • Experimental

Cite this

Ellermann, K., & Kreuzer, E. (2003). Subharmonic Motion of Floating Cranes. In Proceedings in Applied Mathematics and Mechanics (Vol. 2, pp. 62-63). Wiley-VCH . https://doi.org/10.1002/pamm.200310017