Berlin 2008 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.36: Poster

Dienstag, 26. Februar 2008, 16:00–18:00, Poster C

Nonlinear Dynamics of Coupled Hysteretic Transducers of Preisach-Type — •Andreas Zienert and Günter Radons — Chemnitz University of Technology, D-09107 Chemnitz

Hysteresis plays an important role in science and engineering. Many physical and technical systems such as ferromagnetic materials, shape memory alloys, or certain friction models are characterized by hysteretic behavior, implying e.g. a complex dependence on previous input events. The Preisach-model has proven to be an application independent tool for describing such systems.

We investigate the behavior of a series connection y_n(t)=(Γⁿx)(t) of Preisach-hysteresis transducers Γ. We show that the outputs y_n(t) for n→∞ always converge to multi-step functions jumping between two different values. In general y_∞(t) depends on the given input x(t) and the special form of the Preisach-transducer Γ. A simple geometric method can be used to predict whether for a given Γ the limit output function y_∞(t) is input dependent. If this is not the case, the method can be used to determine y_∞(t) from x(t).