Add to ORKGIn this paper a model of the dynamics of a stretched string is derived. The sag of the string due to gravity is neglected. The string is suspended between a fixed support and a vibrating support. Due to the vibrating support the oscillation of the string in vertical direction is influenced by a parametrical excitation. The parametric term originates from a longitudinal vibration caused by an elastic elongation and then influences the transversal vibrations inand out-of-plane. The study will be focused on the existence and stability of time-periodic solutions in transversal direction. The stability is analyzed by using a linearisation method. In addition the different types of periodic motions of the string will be determined.Electrical Engi...