How opening a hole affects the sound of a flute

Details How opening a hole affects the sound of a flute How opening a hole affects the sound of a flute

2011-06-03

arxiv.org/abs/1106.0655v2

Mathematics

Analysis of PDEs

Scientific paper

In this paper, we consider an open tube of diameter $\epsilon>0$, on the side of which a small hole of size $\epsilon^2$ is pierced. The resonances of this tube correspond to the eigenvalues of the Laplacian operator with homogeneous Neumann condition on the inner surface of the tube and Dirichlet one the open parts of the tube. We show that this spectrum converges when $\epsilon$ goes to 0 to the spectrum of an explicit one-dimensional operator. At a first order of approximation, the limit spectrum describes the note produced by a flute, for which one of its holes is open.

Affiliated with

Also associated with

No associations

Rating

How opening a hole affects the sound of a flute does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with How opening a hole affects the sound of a flute, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and How opening a hole affects the sound of a flute will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-223982