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Qualitative dynamics of planar chains

dc.contributor.authorLaederich, Stephaneen_US
dc.contributor.authorLevi, M.en_US
dc.date.accessioned2006-04-10T15:24:35Z
dc.date.available2006-04-10T15:24:35Z
dc.date.issued1992-01-01en_US
dc.identifier.citationLaederich, S., Levi, M. (1992/01/01)."Qualitative dynamics of planar chains." Physica D: Nonlinear Phenomena 54(3): 173-182. <http://hdl.handle.net/2027.42/30315>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6TVK-46JYGBX-D5/2/0b9a8dcf179eaaa2f3f50296553ca04een_US
dc.identifier.urihttps://hdl.handle.net/2027.42/30315
dc.description.abstractIn this paper we derive the equations of motion and analyze some aspects of the dynamics of planar chains. We show that (a) for any integer vector n=(n1,...,nN) (where N is the number of joints) there exists a periodic motion such that the angle of jth joint changes by 2[pi]nj during one period; (b) the straight configuration is (nonlinearly) stable and that any "folded" rectilinear configuration is unstable; (c) the Coriolis effects play no role in stability of these rectilinear configurations, in contrast to other problems such as the stabilizing effect on the spinning top.en_US
dc.format.extent591637 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleQualitative dynamics of planar chainsen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumUniversity of Michigan, Ann Arbor, MI 48109, USAen_US
dc.contributor.affiliationotherDepartment of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, USAen_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/30315/1/0000717.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0167-2789(92)90032-Ien_US
dc.identifier.sourcePhysica D: Nonlinear Phenomenaen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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