Spinning rigid bodies driven by orbital forcing: the role of dry friction
نویسندگان
چکیده
A "circular orbital forcing" makes a chosen point on rigid body follow circular motion while the spins freely around that point. We investigate this problem for planar of subject to dry friction. focus effect called reverse rotation (RR), where spinning and rotations are antiparallel. Similar dynamics include Venus Uranus, journal machinery bearings, tissue production reactors, chiral active particles. Due dissipation, RRs possible only as transient. Here transient or flip time $t_\textrm{f}$ depends driving frequency $\omega$, unlike viscous case previously studied. find $t_\textrm{f}\sim\omega^{\gamma-1}\mu^{-\gamma/2}$, $\mu$ is friction coefficient $\gamma=0$ ($\gamma=2$) low (high) $\omega$. Whether really occur initial conditions well $H$, geometrical parameter. The critical $H_\textrm{c}(\mu)$ become follows $q$-exponential with $q\simeq1.9$, more restrictive RR scenario than in wet case. use animations visualize different dynamical regimes emerge from highly nonlinear dissipation mechanism Our results valid across multiple investigated shapes.
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ژورنال
عنوان ژورنال: Nonlinear Dynamics
سال: 2022
ISSN: ['1573-269X', '0924-090X']
DOI: https://doi.org/10.1007/s11071-021-07175-8