Details

Autor(en) / Beteiligte

• Fischer, Jost Leonhardt
• Bader, Rolf
• Abel, Markus

Titel

Aeroacoustical coupling and synchronization of organ pipes

Ist Teil von

• The Journal of the Acoustical Society of America, 2016-10, Vol.140 (4), p.2344-2351

Ort / Verlag

United States

Erscheinungsjahr

2016

Link zum Volltext

Quelle

AIP Journals (American Institute of Physics)

Beschreibungen/Notizen

• A synchronization experiment on two mutual interacting organ pipes is compared with a theoretical model which takes into account the coupling mechanisms by the underlying first principles of fluid mechanics and aeroacoustics. The focus is on the Arnold-tongue, a mathematical object in the parameter space of detuning and coupling strength which quantitatively captures the interaction of the synchronized sound sources. From the experiment, a nonlinearly shaped Arnold-tongue is obtained, describing the coupling of the synchronized pipe–pipe system. This is in contrast to the linear shaped Arnold-tongue found in a preliminary experiment of the coupled system pipe-loudspeaker. To understand the experimental result, a coarse-grained model of two nonlinear coupled self-sustained oscillators is developed. The model, integrated numerically, is in very good agreement with the synchronization experiment for separation distances of the pipes in the far field and in the intermediate field. The methods introduced open the door for a deeper understanding of the fundamental processes of sound generation and the coupling mechanisms on mutual interacting acoustic oscillators.