ABSTRACT

To promote the understanding of the later made statements about the moving behavior of non-conservative systems, the differences between conservative and non-conservative dynamic responses will be compared. The short description of the different behavior of conservative and non-conservative systems demonstrates that stability criteria applicable for conservative systems may not be suitable for non-conservative systems. The knowledge of the static stability of the massless non-conservative systems allows to establish the so called Three Domain Stability criterion. The limit between vibration and flutter can be considered as kind of stability limit. In contrast to conservative systems two stability limits exist for these non-conservative systems. The different post-critical behavior of conservative and non-conservative systems have created in the past some problems, because the available stability criteria are not well suited for non-conservative systems. In statics, an elastic massless stability system is stable if any disturbance from the trivial equilibrium state is associated with positive energy of the extra forces.