Nonlinear Modal Analysis of Structural Systems Using Multi-Mode Invariant Manifolds
dc.contributor.author | Pesheck, Eric | en_US |
dc.contributor.author | Boivin, Nicolas | en_US |
dc.contributor.author | Shaw, Steven W. | en_US |
dc.contributor.author | Pierre, Christophe | en_US |
dc.date.accessioned | 2006-09-08T21:18:50Z | |
dc.date.available | 2006-09-08T21:18:50Z | |
dc.date.issued | 2001-07 | en_US |
dc.identifier.citation | Pesheck, Eric; Boivin, Nicolas; Pierre, Christophe; Shaw, Steven W.; (2001). "Nonlinear Modal Analysis of Structural Systems Using Multi-Mode Invariant Manifolds." Nonlinear Dynamics 25 (1-3): 183-205. <http://hdl.handle.net/2027.42/43322> | en_US |
dc.identifier.issn | 0924-090X | en_US |
dc.identifier.issn | 1573-269X | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/43322 | |
dc.description.abstract | In this paper, an invariant manifold approach is introduced for the generationof reduced-order models for nonlinear vibrations of multi-degrees-of-freedomsystems. In particular, the invariant manifold approach for defining andconstructing nonlinear normal modes of vibration is extended to the case ofmulti-mode manifolds. The dynamic models obtained from this technique capture the essential coupling between modes of interest, while avoiding coupling fromother modes. Such an approach is useful for modeling complex systemresponses, and is essential when internal resonances exist between modes.The basic theory and a general, constructive methodology for the method arepresented. It is then applied to two example problems, one analytical andthe other finite-element based. Numerical simulation results are obtainedfor the full model and various types of reduced-order models, including theusual projection onto a set of linear modes, and the invariant manifoldapproach developed herein. The results show that the method is capable ofaccurately representing the nonlinear system dynamics with relatively fewdegrees of freedom over a range of vibration amplitudes. | en_US |
dc.format.extent | 220730 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers; Springer Science+Business Media | en_US |
dc.subject.other | Modal Analysis | en_US |
dc.subject.other | Vibration, Dynamical Systems, Control | en_US |
dc.subject.other | Mechanics | en_US |
dc.subject.other | Mechanical Engineering | en_US |
dc.subject.other | Automotive and Aerospace Engineering | en_US |
dc.subject.other | Normal Modes | en_US |
dc.subject.other | Nonlinear Vibration | en_US |
dc.subject.other | Invariant Manifolds | en_US |
dc.subject.other | Engineering | en_US |
dc.title | Nonlinear Modal Analysis of Structural Systems Using Multi-Mode Invariant Manifolds | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | 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, University of Michigan, Ann Arbor, MI, 48109-2125, U.S.A | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI, 48109-2125, U.S.A | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann Arbor, MI, 48109-2125, U.S.A | en_US |
dc.contributor.affiliationother | Department of Mechanical Engineering, Michigan State University, East Lansing, MI, 48824-1226, U.S.A | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/43322/1/11071_2004_Article_281266.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1023/A:1012910918498 | en_US |
dc.identifier.source | Nonlinear Dynamics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
Files in this item
Remediation of Harmful Language
The University of Michigan Library aims to describe library materials in a way that respects the people and communities who create, use, and are represented in our collections. Report harmful or offensive language in catalog records, finding aids, or elsewhere in our collections anonymously through our metadata feedback form. More information at Remediation of Harmful Language.
Accessibility
If you are unable to use this file in its current format, please select the Contact Us link and we can modify it to make it more accessible to you.