Vibration Conveyance in Spatial-Curved Tubes

Abstract

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 curved-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. The detailed motion of the whole response, called the “subperiodic motion,” is revealed through numerical solutions. Fundamental influences of some basic parameters on the motion of the system are discussed. Appropriate ranges for both the frequency and the amplitudes of vibration are discovered to be very narrow. Conveying materials inside vibrating tubes is quite different from, or opposite to, conveying materials on vibrating plates in ordinary use. Experimental studies confirm the theoretical analyses presented.