Three-dimensional oscillations of suspended cables involving simultaneous internal resonances
dc.contributor.author | Lee, Christopher L. | en_US |
dc.contributor.author | Perkins, Noel C. | en_US |
dc.date.accessioned | 2006-09-08T21:19:30Z | |
dc.date.available | 2006-09-08T21:19:30Z | |
dc.date.issued | 1995-07 | en_US |
dc.identifier.citation | Lee, Christopher; Perkins, Noel C.; (1995). "Three-dimensional oscillations of suspended cables involving simultaneous internal resonances." Nonlinear Dynamics 8(1): 45-63. <http://hdl.handle.net/2027.42/43332> | en_US |
dc.identifier.issn | 0924-090X | en_US |
dc.identifier.issn | 1573-269X | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/43332 | |
dc.description.abstract | The near resonant response of suspended, elastic cables driven by planar excitation is investigated using a three degree-of-freedom model. The model captures the interaction of a symmetric in-plane mode with two out-of-plane modes. The modes are coupled through quadratic and cubic nonlinearities arising from nonlinear cable stretching. For particular magnitudes of equilibrium curvature, the natural frequency of the in-plane mode is simultaneously commensurable with the natural frequencies of the two out-of-plane modes in 1:1 and 2:1 ratios. A second nonlinear order perturbation analysis is used to determine the existence and stability of four classes of periodic solutions. The perturbation solutions are compared with results obtained by numerically integrating the equations of motion. Furthermore, numerical simulations demonstrate the existence of quasiperiodic responses. | en_US |
dc.format.extent | 1034470 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 | Quasi-periodic Response | en_US |
dc.subject.other | Mechanics | en_US |
dc.subject.other | Vibration, Dynamical Systems, Control | en_US |
dc.subject.other | Mechanical Engineering | en_US |
dc.subject.other | Automotive and Aerospace Engineering | en_US |
dc.subject.other | Cables | en_US |
dc.subject.other | Internal Resonance | en_US |
dc.subject.other | Perturbation Analysis | en_US |
dc.subject.other | Engineering | en_US |
dc.title | Three-dimensional oscillations of suspended cables involving simultaneous internal resonances | 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, The University of Michigan, 48109-2125, Ann Arbor, MI, U.S.A.; Lawrence Livermore National Laboratory, Livermore, CA, U.S.A. | en_US |
dc.contributor.affiliationum | Department of Mechanical Engineering and Applied Mechanics, The University of Michigan, 48109-2125, Ann Arbor, MI, U.S.A. | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/43332/1/11071_2004_Article_BF00045006.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF00045006 | en_US |
dc.identifier.source | Nonlinear Dynamics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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