Mode localization and eigenvalue loci veering phenomena in disordered structures
dc.contributor.author | Pierre, Christophe | en_US |
dc.date.accessioned | 2006-04-07T20:08:56Z | |
dc.date.available | 2006-04-07T20:08:56Z | |
dc.date.issued | 1988-11-08 | en_US |
dc.identifier.citation | Pierre, C. (1988/11/08)."Mode localization and eigenvalue loci veering phenomena in disordered structures." Journal of Sound and Vibration 126(3): 485-502. <http://hdl.handle.net/2027.42/27073> | en_US |
dc.identifier.uri | http://www.sciencedirect.com/science/article/B6WM3-4951KFS-W1/2/ed7bb82f9c9e2fb2f9cba0099af7dac0 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/27073 | |
dc.description.abstract | An investigation of the effects of disorder on the modes of vibration of nearly periodic structures is presented. It is shown that, in structures with close eigenvalues, small structural irregularities result in both strong localization of the mode shapes and abrupt veering away, or mutual repulsion, of the loci of the eigenvalues when these are plotted against a parameter representing the disorder in the system. Perturbation methods for the eigenvalue problem are applied to predict the occurrence of strong localization and eigenvalue loci veering, which are shown to be two manifestations of the same phenomenon. Also, perturbation methods that handle the dramatic effects of small disorder are developed to analyze eigenvalue loci veering and strong localization. Two representative disordered nearly periodic structures are studied: a mistuned assembly of coupled oscillators and a multi-span beam with irregular spacing of the supports. | en_US |
dc.format.extent | 1330599 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 | Mode localization and eigenvalue loci veering phenomena in disordered structures | en_US |
dc.type | Article | en_US |
dc.rights.robots | IndexNoFollow | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, Michigan 48109-2125, U.S.A. | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/27073/1/0000063.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1016/0022-460X(88)90226-X | en_US |
dc.identifier.source | Journal of Sound and Vibration | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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