Vibrational Modes of an Organ Reed Pipe

Tom Huber, Brian Collins: Gustavus Adolphus College
Charles Hendrickson: Hendrickson Organ Company
Mario Pineda: Polytec PI Incorporated

 

The vibrational modes of a G#5 Trumpet reed pipe were measured
using a Polytec PSV-300 Scanning Vibrometer.


The pipe has a conical resonator 14 cm in length, diameter of 1.1 to 4.6,
shallot 5.6 mm in diameter, reed with round end and a vibrating length of 8.5 mm


 Scanning vibrometer measurements of displacement of the reed from its equilibrium position for a pipe blown in a standard fashion. Each successive image downwards corresponds to a phase shift of 90 degrees. The arrow with a W indicates the wedge, T indicates a section of the tuning wire, N indicates position of nodal lines. Image b is rotated to illustrate torsional motion of the reed, and the remainder are rotated to show several cantilever modes.
For animations of these modes, click anywhere on any of the harmonics
(since these are large AVI files, they make a while to load)

Click on any Harmonic to see the Vibrometer Mode
1st Harmonic2nd Harmonic3rd Harmonic4th Harmonic5th Harmonic6th Harmonic7th Harmonic8th Harmonic9th Harmonic10th Harmonic11th Harmonic12th Harmonic

(a) The acoustical spectrum measured using a microphone 40 cm from the pipe
(b) The average velocity spectrum measured for pipe blown in a standard manner
To view animations of these modes, click on any of the peaks in the spectrum
(since these are large AVI files, they make a while to load)

(0,0) Cantilever Mode(0,1) 2nd Order Vibrational Mode6th Harmonic of Fundamental5th Harmonic of Fundamental(1,0) Torsional Mode4th Harmonic of Fundamental(0,2) Mode of Entire Reed2nd Harmonic of Fundamental3rd Harmonic of Fundamental(0,0) Cantilever Mode2nd Harmonic of Fundamental(1,0) Torsional Mode3rd Harmonic of Fundamental4th Harmonic of Fundamental5th Harmonic of Fundamental(0,1) 2nd Order Vibrational Mode6th Harmonic of Fundamental7th Harmonic of Fundamental8th Harmonic of Fundamental9th Harmonic of Fundamental10th Harmonic of FundamentalCannot Separately Resolve Peak for (0,1) Mode of Entire Reed

(c) The average velocity spectrum measured for a mechanically driven pipe in vacuum
(d) The same spectrum for mechanically driven pipe at atmospheric pressuer
To view animations of these modes, click on any of the peaks in the spectrum
(since these are large AVI files, they make a while to load)