STEADY MOTION OF A THREAD OVER A ROTATING ROLLER

Dynamic equations of steady motion governing the behavior of threads o ver rotating arbitrary-axisymmetric rollers are derived. Various types of boundary conditions resulting in initial value or boundary value p roblems are discussed. Analytical solutions for the case of a circular cylinder are found. Two of the integrals obtained are exact. The thir d one, being a perturbation result, is thus approximate. Comparisons o f results of a circular cylinder with those for tapered and parabolic rollers are made.