Vol.2, No 10, 2000 pp. 1081-1087
UDC 531.38(045)
ON STABILITY
CRITERIA FOR GYROSCOPIC SYSTEMS
WITH NEGATIVE
DEFINITE STIFFNESS
Ranislav. M. Bulatović
Faculty of Mechanical Engineering, University
of Montenegro, Yugoslavia
Abstract. A critical survey of published
criteria - expressed by the properties of the system matrices - for the
stability of linear conservative gyroscopic systems with negative definite
stiffness matrix is presented. In addition a sufficient stability condition
of the same type is derived. A simple two degree of freedom example is
used to illustrate the usefulness of each.
O KRITERIJUMU
STABILNOSTI ZA GIROSKOPSKE SISTEME
SA NEGATIVNO
DEFINITNOM KRUTOŠĆU
Prikazan je kritički pregled publikovanih
kriterijuma - izraženih svojstvima matrica sistema- za ispitivanje stabilnost
linearnih konzervativnih giroskopskih sistema sa negativno definitnom matricom
krutosti. Sem toga, izveden je i dovoljan uslov stabilnosti istog tipa.
Za ilustrovanje primene urađen je jednostavni primer sistema sa dva stepena
slobode.