Journal article
Solution of the Lyapunov matrix equation for a system with a time-dependent stiffness matrix
The stability of the linearized model of a rotor system with non-symmetric strain and axial loads is investigated. Since we are using a fixed reference system, the differential equations have the advantage to be free of Coriolis and centrifugal forces. A disadvantage is nevertheless the occurrence of time-dependent periodic terms in the stiffness matrix.
However, by solving the Lyapunov matrix equation we can formulate several stability conditions for the rotor system. Hereby the positive definiteness of a certain averaged stiffness matrix plays a crucial role.
Language: | English |
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Publisher: | WILEY-VCH Verlag |
Year: | 2004 |
Pages: | 48-52 |
ISSN: | 15214001 and 00442267 |
Types: | Journal article |
DOI: | 10.1002/zamm.200410075 |