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.
|Title of host publication||Proceedings in Applied Mathematics and Mechanics|
|Publication status||Published - 2003|
|Event||Annual Meeting of the International Association of Applied Mathematics and Mechanics - Padua, Italy|
Duration: 24 Mar 2003 → 28 Mar 2003
|Conference||Annual Meeting of the International Association of Applied Mathematics and Mechanics|
|Period||24/03/03 → 28/03/03|
Fields of Expertise
Treatment code (Nähere Zuordnung)
- Basic - Fundamental (Grundlagenforschung)