Measuring the tilt-resistance of the regular ratcheting

We deliberately impose a downward slope (an offset angle) by adjusting the height difference between the spring suspension and the roller bearing. For a fixed combination of the control parameters, including the overall vibration strength VS=Γ(x=25cm), the frequency, and chain length, we measure the critical slope |tanθC| (or |tanθC-| ) at which the upward climbing of the chain ceases abruptly upon further tilting. These measurements are repeated with different combinations of parameters. In particular, varying VS can create significant shifting of the spatial zones where the monotonic creeping takes place, but these activity zones roughly follow the shifting of the spatial interval associated with 1.0 < Γ < ~1.4.

Note that (1) lowering VS shifts the activity zones towards the right-hand side and leads to a considerable decrease of the intensity of gradient around the chain, and that (2) this concurs with a significant decline of the values of |tanθC| -- a thick dashed line is drawn to guide the eyes.