%0 Journal Article %1 WOS:000314770600007 %A Araujo, N A M %A Seybold, H %A Baram, R M %A Herrmann, H J %A Jr., J S Andrade %C ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA %D 2013 %I AMER PHYSICAL SOC %J PHYSICAL REVIEW LETTERS %K imported %N 6 %R 10.1103/PhysRevLett.110.064106 %T Optimal Synchronizability of Bearings %V 110 %X 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 (similar to) r(alpha), with an optimal exponent alpha = alpha(x) 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. DOI: 10.1103/PhysRevLett.110.064106

@article{WOS:000314770600007, 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 (similar to) r(alpha), with an optimal exponent alpha = alpha(x) 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. DOI: 10.1103/PhysRevLett.110.064106}, added-at = {2022-05-23T20:00:14.000+0200}, address = {ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA}, author = {Araujo, N A M and Seybold, H and Baram, R M and Herrmann, H J and Jr., J S Andrade}, biburl = {https://www.bibsonomy.org/bibtex/220a76bbfd3826792f6ebf973eb256602/ppgfis_ufc_br}, doi = {10.1103/PhysRevLett.110.064106}, interhash = {93ac840f5dffdcacbd092a5caaa6c163}, intrahash = {20a76bbfd3826792f6ebf973eb256602}, issn = {0031-9007}, journal = {PHYSICAL REVIEW LETTERS}, keywords = {imported}, number = 6, publisher = {AMER PHYSICAL SOC}, pubstate = {published}, timestamp = {2022-05-23T20:00:14.000+0200}, title = {Optimal Synchronizability of Bearings}, tppubtype = {article}, volume = 110, year = 2013 }