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Subharmonic motion of floating cranes
Author(s) -
Ellermann K.,
Kreuzer E.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310017
Subject(s) - nonlinear system , bifurcation , subharmonic , motion (physics) , control theory (sociology) , range (aeronautics) , frequency domain , computer science , domain (mathematical analysis) , mechanics , dynamics (music) , mathematics , engineering , physics , mathematical analysis , acoustics , aerospace engineering , artificial intelligence , control (management) , quantum mechanics
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 [1] as well as simulations [3] 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.