Catastrophe Analysis of the Planar Two-Spring Mechanism

A stability analysis is performed for the planar two-spring system using catastrophe theory. Basic elements of catastrophe theory are outlined and applied to the two-spring system to give catastrophe locus plots showing where a change in stability occurs. The method used for the two-spring yields a...

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Bibliographic Details
Published in:The International journal of robotics research 1998-01, Vol.17 (1), p.89-101
Main Authors: Hines, R., Marsh, D., Duffy, J.
Format: Article
Language:English
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Summary:A stability analysis is performed for the planar two-spring system using catastrophe theory. Basic elements of catastrophe theory are outlined and applied to the two-spring system to give catastrophe locus plots showing where a change in stability occurs. The method used for the two-spring yields a stability analysis without having to solve the inverse analysis. The inverse analysis for the two-spring system is used to illustrate system equilibrium positions before, dur ing, and after a change in stability.
ISSN:0278-3649
1741-3176
DOI:10.1177/027836499801700108