Sustained rotation in a vibrated disk with asymmetric supports. (English) Zbl 1456.70031
Summary: A single frictional elastic disk, supported against gravity by two others, rotates steadily when the supports are vibrated and the system is tilted with respect to gravity. Rotation is here studied using molecular dynamics simulations, and a detailed analysis of the dynamics of the system is made. The origin of the observed rotational ratcheting is discussed by considering simplified situations analytically. This shows that the sense of rotation is not fixed by the tilt but depends on the details of the excitation as well.
MSC:
| 70F40 | Problems involving a system of particles with friction |
| 74H50 | Random vibrations in dynamical problems in solid mechanics |
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 70K20 | Stability for nonlinear problems in mechanics |
| 34C15 | Nonlinear oscillations and coupled oscillators for ordinary differential equations |
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