Open AccessOn the stability and instability criteria for circulatory systems: A review
Author(s) -
Milica Bulatović
Publication year - 2020
Publication title -
theoretical and applied mechanics/theoretical and applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.279
H-Index - 6
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam201021013b
Subject(s) - instability , stability (learning theory) , simple (philosophy) , computer science , mathematics , mechanics , physics , epistemology , philosophy , machine learning
A survey of the selected published criteria ? expressed by the properties of the system matrices ? for the stability and instability of linear mechanical systems subjected to potential and circulatory forces is presented. In particular, recent generalizations of the well-known Merkin instability theorem are reported. Several simple numerical examples are used to illustrate the usefulness of the presented criteria and also to compare them.