Regensburg 2007 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 32: Synchronization
DY 32.5: Talk
Friday, March 30, 2007, 11:15–11:30, H3
Synchronization in acoustical systems by the example of organ pipes — •Markus Abel1, Karsten Ahnert2, and Steffen Bergweiler1 — 1UP Transfer GmbH an der Universität Potsdam, Am Neuen Palais 10, 14469 Potsdam — 2Institut für Physik, Universität Potsdam, Am Neuen Palais 10, 14469 Potsdam
From measurements on organ pipes, it is known since a long time, that phase-locking can lead to a mutual influence of organ pipes by each other. The same holds for external driving of pipes by acoustical sources of well-defined frequencies. We explain the theoretical background from nonlinear vibrational theory and apply it to measurements of the synchronization between an organ pipe and a loudspeaker. In the experiment we observe an Arnold tongue over a range of 60 dB, i.e. about 3 decades. With nonlinear, nonparametric embedding we are able to determine effective equations for the system in terms of a driven nonlinear oscillator.