On perturbation behaviour in non‐linear dynamics
- verfasst von
- C. Carstensen, Peter Wriggers
- Abstract
The static bifurcation criterion, i.e. singularity of the tangential stiffness matrix, is discussed in the sense of non‐linear dynamics since it is sometimes used in the engineering literature. In this paper the connection between static stability, i.e. that the tangential stiffness matrix is positive‐definite, and insensitivity, i.e. local damping of small perturbations, is proved. Since, in general, there is no connection between insensitivity and asymptotic stability, the concept of sensitivity cannot replace the classical stability theory of motion.
- Externe Organisation(en)
-
Technische Universität Darmstadt
- Typ
- Artikel
- Journal
- Communications in Numerical Methods in Engineering
- Band
- 9
- Seiten
- 165-175
- Anzahl der Seiten
- 11
- ISSN
- 1069-8299
- Publikationsdatum
- 02.1993
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Software, Modellierung und Simulation, Ingenieurwesen (insg.), Theoretische Informatik und Mathematik, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1002/cnm.1640090210 (Zugang:
Unbekannt)
