This paper presents a new frequency-domain method to analyze physically non-linear structural systems having non-proportional damping. Single-and multi-degree-of-freedom (d.o.f.) systems subjected to time-dependent excitations are considered. A procedure to consider initial conditions, required by t
TIME–FREQUENCY CHARACTERISTICS OF NON-LINEAR SYSTEMS
✍ Scribed by S. Braun; M. Feldman
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 213 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0888-3270
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✦ Synopsis
The time-varying characteristics of non-linear systems responding to typical identification signals are addressed and the potential for identifying some time-varying patterns is shown. Specifically, the instantaneous frequency of system responses is analysed, and shown to characterise non-linear behaviour. The analysis is done via the Hilbert transform. Examples include a Duffing oscillator and a memoryless system of the type y = x 3 . The possibility of enhancing the time-frequency resolution, as compared to classic Fourier methods, is also briefly addressed.
📜 SIMILAR VOLUMES
This paper presents an instability version of an earlier result on robust stability analysis using a modified Nyquist plot. The result is shown to be useful for presenting robust stability and instability margins for feedback systems.
## Abstract An Erratum has been published for this article in International Journal of Circuit Theory and Applications 2004; 32(6):633. It is shown that the elements of a large class of time‐invariant non‐linear input–output maps can be uniformly approximated arbitrarily well, over infinite time
It is known that large classes of approximately-"nite-memory maps can be uniformly approximated arbitrarily well by the maps of certain non-linear structures. As an application, it was proved that time-delay networks can be used to uniformly approximate arbitrarily well the members of a large class