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Resonance Tests

Overview

With resonance calculations incorporated into Boxnotes and Sonosub, it seemed like a good idea to check the theory against an experiment. These programs assumed that the driver acted as the open end of a pipe when it came to working out driver-to-wall resonances, predicting a quarter-wave resonance which can spell trouble for tall or deep subwoofers.
The following experiment shows that this premise is false. The driver in fact mimics the closed end of a pipe, leading to half-wave resonances for the driver-to-wall interraction. These are double the frequency of quarter wave resonances, so are better news for subwoofer builders.
The two software products have been corrected as a result of this study.

Design

A 6.5inch woofer was mounted at the end of a 6 inch pipe. At the other end, a baffle with an SPL meter mounted through it, could be moved into the pipe to test different spacings



Here's a picture of the SPL meter / movable wall...


The driver occupies the entire end wall....


Room Equaliser Wizard REW software was used to do a frequency sweep from 150hz to 1.5khz, a range that would reveal any standing waves between the driver and the opposite wall of the enclosure
Testing was done with spacings of 500mm, 400mm and 300mm.
Any half-wave resonances should be visible at 344hz, 430hz and 573hz depending on the spacing used
Any quarter-wave resonances should be visible at 172hz, 215hz and 287hz depending on the spacing used

Results

The following graph shows the reults for all three spacings.
As can be seen, the peaks found correspond to multiples of half-wave resonances only.
No evidence of quarter wave resonances is visible.



As an interesting aside, the levels were re-measured outside the box for a single spacing of 500mm
The result was overlaid on top of the inside measurement for this spacing.



The 1m measurement is basically the same as the close miked result apart from picking up some extra environmental reflections.
To get a clearer view, here's just the first two, with 1/3 octave smoothing applied.....



 

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