Vibration Conveyance in Spatial-Curved Tubes

The problem of inserting a long optical fiber into a long helical steel tube by means of vibration is modelled as a block repeatedly sliding and jumping inside a vibrating long tube which is in a spatial curve-line shape. analytical models and equations are established by considering three kinds of motion states involved: relative sliding motion, flying motion, and bumping. thorough investigations are carried out for the inclined friction with component velocities and for the oblique impact