AN EXTENDING DYNAMIC ELASTICA - IMPACT WITH A SURFACE

The study of the dynamic transport of paper, film, and tape is of incr easing importance as process speeds increase. In earlier machines, tra nsport velocities were slow enough that inertia loads did not apprecia bly affect the deformation of the material. In many applications, mate rial is pushed from a channel or clamp and can be modeled as a cantile vered beam or plate until it reaches another guide or barrier. In this paper, we are concerned with modeling the behavior of such a cantilev ered sheet after it strikes a guide. The guide may be any two-dimensio nal curve. We are able to determine leading edge velocities and reacti on forces necessary to keep the sheet from penetrating the guide. Fric tion is included in the model. The sheet is allowed to exit the channe l at an arbitrary angle and may have a nonconstant transport velocity. Inertial loads become noticeable at speeds greater than one copy per second and are necessary for the resolution of impact loads.