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Ernest Chladni (1756-1827) discovered that,
when introduced to different frequencies, solid plates are excited and
vibrate in different locations. He developed a method of viewing the areas
in which the excitement is occurring by sprinkling a fine aggregate on
the surface of the test piece and then introducing it to a certain frequency.
Chladni discovered a way of doing this by drawing a bow across the edge
of the plate until it vibrated, however this method has since been mostly
replaced by using a speaker and a signal generator. As the frequency is
adjusted the pattern will change dramatically and it will become increasingly
complex as the frequency increases. Visible patterns form as the aggregate
settles onto the dead (not vibrating) areas of the test piece. These areas
are known as nodes and the areas where piece if vibrating are known as
anti-nodes. As the frequency changes the nodes move around the face of
the plate creating different patterns. On a small metal test piece the
location of the nodes is mathematically predictable, however something
as complex as a musical instrument top would be far too difficult to mathematically
predict.Click
here to see how it works on a perfectly flat, square surface.
For the Chladni tests we used an amplifier,
speaker, and signal generator. We used this setup to test our guitars
at each step of the construction process. The top, top with sides(rim),
and the complete body.
Equipment
Elenco Audio Generator- Model SG-9200
7 in diameter- 8 Ohms Studio Speaker
Pioneer Stereo Amplifier SA-410- plugged into “phono” setting
At the beginning of the project we tried to use
a Peterson VS-II stroboscopic tuner as the signal generator to provide
us with notes found in the A440 scale. This became somewhat discouraging
because we were having trouble picking up many clear readings no matter
how high or low of frequencies we were projecting at the plates. Eventually
we switched over to using a signal generator with the full range of frequencies,
however, and this allowed us to hone in much more precisely on exact patterns
which the plates were clearly generating. We found that sometimes a change
of only 1 or 2 Hz could change the pattern dramatically. Other times a
plate might hold basically the same pattern over a range of 10 Hz or more.
Another observation we made was that it was critical that the sponges
which are suspending the plate over the speaker be soft and in full contact
with plate and speaker housing. Often they can be softened by moistening
them slightly. The location of the sponges can also slightly change the
patterns being produced. We elected to use three sponges on the guitar
tops (one on each side of the lower bout and one at the top) so that we
had the least amount of contact possible.
The exact distance which the plate is suspended above the speaker didn’t
appear to alter the patterns in our tests as long as the plate was vibrating
enough to move the aggregate. Usually between 90 and 120 decibels when
measured at 6 inches away from the speaker was sufficient to drive the
plate. Higher decibel levels will force the pattern to develop faster
but with time the same patterns will form at lower decibel levels as long
as the plate is vibrating somewhat. Especially at high frequencies (and
therefore more complex patterns) we had to repeatedly cover the surface
with poppy seeds in order to show the fine node lines. Otherwise the nodes
can sometimes be overdriven and won’t appear in the pictures.
. In order to test whether or not outside sound could interfere
with Chladni patterns we built a noise isolation box and ran some tests
with all the test equipment inside of it. We then ran the same tests with
a radio playing at 100+ decibels 6 inches away from the plate and found
no difference in the patterns we were getting.
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(Frequencies have been distorted by fast forwarding)
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