Qualitative dynamics of planar chains
dc.contributor.author | Laederich, Stephane | en_US |
dc.contributor.author | Levi, M. | en_US |
dc.date.accessioned | 2006-04-10T15:24:35Z | |
dc.date.available | 2006-04-10T15:24:35Z | |
dc.date.issued | 1992-01-01 | en_US |
dc.identifier.citation | Laederich, 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.uri | http://www.sciencedirect.com/science/article/B6TVK-46JYGBX-D5/2/0b9a8dcf179eaaa2f3f50296553ca04e | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/30315 | |
dc.description.abstract | In 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.extent | 591637 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Elsevier | en_US |
dc.title | Qualitative dynamics of planar chains | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | University of Michigan, Ann Arbor, MI 48109, USA | en_US |
dc.contributor.affiliationother | Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590, USA | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/30315/1/0000717.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0167-2789(92)90032-I | en_US |
dc.identifier.source | Physica D: Nonlinear Phenomena | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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