Optimal Synchronizability of Bearings
Bearings are mechanical dissipative systems that, when perturbed, relax toward a synchronized (bearing) state. Here we find that bearings can be perceived as physical realizations of complex networks of oscillators with asymmetrically weighted couplings. Accordingly, these networks can exhibit optim...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/78298 |
| _version_ | 1826191961550225408 |
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| author | Seybold, Hansjorg Araujo, Nuno Baram, R. M. Herrmann, Hans J. Andrade, J. S., Jr. |
| author2 | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Seybold, Hansjorg Araujo, Nuno Baram, R. M. Herrmann, Hans J. Andrade, J. S., Jr. |
| author_sort | Seybold, Hansjorg |
| collection | MIT |
| description | Bearings are mechanical dissipative systems that, when perturbed, relax toward a synchronized (bearing) state. Here we find that bearings can be perceived as physical realizations of complex networks of oscillators with asymmetrically weighted couplings. Accordingly, these networks can exhibit optimal synchronization properties through fine-tuning of the local interaction strength as a function of node degree [Motter, Zhou, and Kurths, Phys. Rev. E 71 016116 (2005)]. We show that, in analogy, the synchronizability of bearings can be maximized by counterbalancing the number of contacts and the inertia of their constituting rotor disks through the mass-radius relation, m~r[superscript α], with an optimal exponent α=α[subscript ×] which converges to unity for a large number of rotors. Under this condition, and regardless of the presence of a long-tailed distribution of disk radii composing the mechanical system, the average participation per disk is maximized and the energy dissipation rate is homogeneously distributed among elementary rotors. |
| first_indexed | 2024-09-23T09:04:02Z |
| format | Article |
| id | mit-1721.1/78298 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:04:02Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/782982022-09-26T10:12:34Z Optimal Synchronizability of Bearings Seybold, Hansjorg Araujo, Nuno Baram, R. M. Herrmann, Hans J. Andrade, J. S., Jr. Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Seybold, Hansjorg Bearings are mechanical dissipative systems that, when perturbed, relax toward a synchronized (bearing) state. Here we find that bearings can be perceived as physical realizations of complex networks of oscillators with asymmetrically weighted couplings. Accordingly, these networks can exhibit optimal synchronization properties through fine-tuning of the local interaction strength as a function of node degree [Motter, Zhou, and Kurths, Phys. Rev. E 71 016116 (2005)]. We show that, in analogy, the synchronizability of bearings can be maximized by counterbalancing the number of contacts and the inertia of their constituting rotor disks through the mass-radius relation, m~r[superscript α], with an optimal exponent α=α[subscript ×] which converges to unity for a large number of rotors. Under this condition, and regardless of the presence of a long-tailed distribution of disk radii composing the mechanical system, the average participation per disk is maximized and the energy dissipation rate is homogeneously distributed among elementary rotors. European Research Council (Advanced Grant 319968-FlowCCS) 2013-04-04T19:37:27Z 2013-04-04T19:37:27Z 2013-02 2012-12 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/78298 Araújo, N. A. M. et al. “Optimal Synchronizability of Bearings.” Physical Review Letters 110.6 (2013). © 2013 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevLett.110.064106 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Seybold, Hansjorg Araujo, Nuno Baram, R. M. Herrmann, Hans J. Andrade, J. S., Jr. Optimal Synchronizability of Bearings |
| title | Optimal Synchronizability of Bearings |
| title_full | Optimal Synchronizability of Bearings |
| title_fullStr | Optimal Synchronizability of Bearings |
| title_full_unstemmed | Optimal Synchronizability of Bearings |
| title_short | Optimal Synchronizability of Bearings |
| title_sort | optimal synchronizability of bearings |
| url | http://hdl.handle.net/1721.1/78298 |
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