English

Synchronization of Sound Sources

Classical Physics 2009-09-10 v2 Adaptation and Self-Organizing Systems Data Analysis, Statistics and Probability

Abstract

Sound generation and -interaction is highly complex, nonlinear and self-organized. Already 150 years ago Lord Rayleigh raised the following problem: Two nearby organ pipes of different fundamental frequencies sound together almost inaudibly with identical pitch. This effect is now understood qualitatively by modern synchronization theory (M. Abel et al., J. Acoust. Soc. Am., 119(4), 2006). For a detailed, quantitative investigation, we substituted one pipe by an electric speaker. We observe that even minute driving signals force the pipe to synchronization, thus yielding three decades of synchronization -- the largest range ever measured to our knowledge. Furthermore, a mutual silencing of the pipe is found, which can be explained by self-organized oscillations, of use for novel methods of noise abatement. Finally, we develop a specific nonlinear reconstruction method which yields a perfect quantitative match of experiment and theory.

Keywords

Cite

@article{arxiv.0904.2449,
  title  = {Synchronization of Sound Sources},
  author = {Markus Abel and Karsten Ahnert and Steffen Bergweiler},
  journal= {arXiv preprint arXiv:0904.2449},
  year   = {2009}
}

Comments

5 pages, 4 figures

R2 v1 2026-06-21T12:52:00.209Z