Maple/Mathematica/Matlab hornresp program
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diyAudio Member

Join Date: Nov 2012
Second Installment of Matlab Horn Programs

Attached is a second installment of Matlab Horn programs. The first installment was posted earlier on this thread and runs independently of this posting. My primary aim in the attached Matlab programs was to address the isophase propagation issue in an exponential horn. I wanted to be able to reproduce what David McBean's Hornresp program does when the ratio of horn output circumference to cut-off wavelength exceeds 1.0 (David's Cir).

The attached Zip file, MatlabHornFilesII.zip, contains two new Matlab programs, IsoExp.m and InfExpHorn.m as well as some output and comparison plots and instructions.

The program should run on any platform on which Matlab runs. Please first read the 'Read Me First' and 'Disclaimer' files also contained in the Zip file.

Finally, once again I would like to thank David McBean for his communications that pointed me in fruitful directions, and for his willingness to allow me to include comparison plots of the Matlab output with his Hornresp program.
Attached Files
 MatlabHornFilesII.zip (480.6 KB, 65 views)

tca
diyAudio Member

Join Date: Jan 2011
Location: Lisboa
Quote:
Hi, I've found your entry while looking for a similar answer to the same problem: building a GNU/Octave program to horn simulation.

Did you check that paper?

Geddes talks about the validity of the Webster equation and states that the horn equation is only valid for as long as the magnitude of the rate of change of sqrt(S) with x is smaller than unity (the tube flares slowly). It states Morse and Feshbach (pg.1352).

He also mentions Morse's "Vibration and sound". But he misses an important fact. On pg. 269 there is a simple calculation that shows that the conical, exponential and catenary horns *are* exact solutions of the Webster equation, but still the restriction of the rate of change of sqrt(S) with x applies.

I'll look at your Matlab code. Thanks for sharing.
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