Optimal Synchronizability of Bearings
Name
Araujo-2013-Optimal Synchronizability of Bearings.pdf
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Author(s)
Seybold, Hansjorg
Araujo, Nuno
Baram, R. M.
Herrmann, Hans J.
Andrade, J. S., Jr.
Date Issued
February 2013
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Araújo, N. A. M. et al. “Optimal Synchronizability of Bearings.” Physical Review Letters 110.6 (2013). © 2013 American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.110.064106
