Fig. 3: Two examples of intruder’s heights shown as functions of time.
From: Unraveling the role of gravity in shaping intruder dynamics within vibrated granular media

The red ascending curve is obtained at f = 5 Hz, Γ = 4.70, genv = 0.07 g, while the blue descending curve is obtained at f = 3Hz, Γ = 1.97, genv = 0.07 g. The zoom-in shows the clear ratchet-like motion, where the duration of each step equals to 1/f.