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Analysis of multiple solutions in bifurcation diagrams to avoid unexpected dynamics
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mechanics of Solid Materials.
2009 (English)Conference paper, Presentation (Refereed)
Abstract [en]

In mechanical applications it is essential that unexpected dynamics are avoided. The industry wants to build reliable machines that are not sensitive to initial conditions. Therefore, a simple method has been developed to extract all sets of stable bifurcation diagrams. The method gives a designer a good overview of possible dynamics and thereby the possibility to select a safe operating region. The method is described and demonstrated with a rub-impact rotor. The practical usage of this method is to help the designer to determine if parameter ranges exist where coexistent solutions will appear. Thereby one can design the system to work in parameter ranges where only one acceptable solution exists.

Place, publisher, year, edition, pages
Research subject
Solid Mechanics
URN: urn:nbn:se:ltu:diva-34216Local ID: 85a69180-df2a-11de-bae5-000ea68e967bOAI: diva2:1007466
Chaotic Modeling and Simulation International Conference : 01/06/2009 - 05/06/2009
Godkänd; 2009; 20091202 (joa)Available from: 2016-09-30 Created: 2016-09-30Bibliographically approved

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Aidanpää, Jan-Olov
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