Horizontal transport by 2-DOF vibration

This video demonstrates the use of vertical and horizontal vibration of a supporting bar to cause the object on top to slide one way or the other. Upward acceleration of the bar increases the normal force, thereby increasing the tangential friction force during sliding. With periodic vibration, the object achieves a limit-cycle motion. By choosing the phasing of the vertical and horizontal vibration, the net motion during a limit cycle can be to the left or right. Video shown at 1/20 actual speed. This video is related to the example shown in Fig. 37.9 in Chap. 37.4.3 of the Springer Handbook of Robotics, 2nd ed (2016).