THE DYNAMICS OF MOVING FILAMENTS AND TAPES

for the degree of Doctor of Science. The dynamics of filaments and tapes moving at constant velocity has been studied for two-dimensional and three-dimensional boundary conditions. The equations of motion solved are linear and include effects of tension, Cariolis' acceleration, relative logitudinal air motion, centrifugal acceleration, relative lateral air motion, and gravity. The solutions to these equations have been experimentally validated where necessary. The additional effects of longitudinal accelerations and dynamic buckling have been studied. The effect of a surrounding matrix on these additional motions has also heen studied. A set of twenty distinguishing parameters is included which are helpful in cata~orlzing the above motions