Non-Conservative Systems
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In the field of structural stability, static and dynamic stability criteria are used to determine the stability properties of a system. The Eulerian stability criterion for static systems and the Lyapunov criterion for dynamic stability are not universally valid. The Extra Energy Stability criterion (EES) and the Three Domain Stability criterion (TDS) have general validity. For the analysis of stability and post-critical behavior of non-conservative elastic systems, the latter criteria must be applied.
Extra Energy Stability
The Extra Energy Stability criterion for static stability refers to the still undeformed, stable, nontrivial equilibrium state of a system – independent of conservative or nonconservative forces. In order to achieve instability, extra energy in the form of additional forces can be used. The extra energy is then used to estimate the behavior of the system. Since there are infinite possibilities for the deformation of the system, an "extreme value investigation" is required.
Three Domain Stability
The Three Domain Stability criterion for dynamic stability is suitable for describing the motion processes of particular non-conservative systems. If, in addition to large deformations, also very small deformations occur, two critical loads are to be determined (pvibration, pflutter).
References
- Ingerle, Kurt (2018). "Non-Conservative Systems: New Static and Dynamic Stability Criteria". CRC Press. ISBN 9781351394444.
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