MECHANICAL MODELING AND STABILITY INVESTIGATION OF A NON-MATERIAL SYSTEM IN ROTOR DYNAMICS

For the first time the behaviour of a Timoshenko-rotor-model with a no n-material constraint is investigated. The constraint is caused by an axially-moving disc guided by the flexible shaft. Both, the developmen t of the equations of motion (including the additionally occurring jum p conditions) and the analysis of stability are essentially influenced by the non-classical character of the system. As result some stabilit y diagrams are shown. They are based on statistical methods of theory of stability. The results allow the conclusion that most of the non-ma terial constraints lead to a system behaviour as well-known from param etric excitations.