Sound waves(The behavior of soundboards)

Richard Brekne Richard.Brekne@grieg.uib.no
Fri, 04 Jan 2002 09:46:53 +0100


Ron Nossaman wrote:

> So how could a compression wave traveling through the bridge possibly move
> the soundboard, and what's the physics behind it?

Actually, that bothered me a while as well, but it was this rock in pond example
that your camp through out that got me on to it. And I think I understand where
that reasoning comes from now.  Lets take another look at the pond analogy. You
drop a rock into a pond and a compression wave is set up throughout the medium. It
propagates throughout the medium in a circular, actually I suppose half sphere
pattern and continues to until it either dissipates or meets some border condition
and is reflected back into the medium or absorbed or dissipated by the nature of
that border condition. The surface is one such border condition, the sides and the
bottom are also border conditions. But the sides and bottoms will reflect most of
the wave energy that encounters them back whereas the surface condition accepts the
wave into a new medium... the air. Remember the direction of force these ripples
have is transverse to the surface of the water, despite the fact that the
compression component of these is maintained totally within the water medium and
remains circular (spherical).

Ok... then take the analogy a bit further. A bowl fashioned out of a shallow open
ended cylinder and a tightly stretched piece of cellophane to seal one end will
suffice.  Drop your "stone" into the middle of the water and watch what happens.
The compression wave created can be sort of watched actually, some lighting can
help. You can easily visualize the wave pattern propagation this way in this 3
dimensional aid/experiment. The same ripple pattern (a bit hampered due to the
nature of the artificial "bottom" of this medium) forms. Both (top and bottom) get
quickly more complex as the wave reflects off the boundary conditions of both the
bottom and the sides. And both ripple patterns are  the result of the initial
compression wave created by the stone hitting the water. In fact it would seem that
these ripples are actually part of those compression waves and differ from the rest
of the wave  only in that they have met a non reflective border condition and must
then interact with two different medium.  Though their pattern is one of an
expanding circle the direction of their force is transverse in relation to the
plane of the water medium. Which means they are pushing outwards against the air
forcing it into movement.

Ok.... the sound board is also such a 3 dimensional elastic medium. It has to
respond to the same rules that govern wave propagation and behavior as all such
mediums. So after the little pond experiment above its not hard to visualize the
basics of the mechanics involved.  It would seem to me that any force applied to
the surface of such an elastic medium then would necessarily result in compression
waves being formed. Transverse surface waves are the result of these interacting
with two different, conductive mediums. Dropping a ball onto the board would result
in much the same kind of thing as dropping a stone into the water.

Then too its been shown beyond any shadow of a doubt that the sound board assembly
accepts longitudinal input which results in sound being created from the assembly.
McFerrin quotes an experiment, Robin and JD have cited similar things with tuning
forks and other examples, and I have this upright standing in my shop that has no
strings... I attached my brass rod clamped in the middle experiment to the bridge
and induced longitudinal waves in the rod and boy did the panel scream. All this
put together tells me that the string vibrating at the bridge termination does
nothing more then exert a force on the surface of a 3 dimensional wave conductive
medium, which must react as all such medium do.

This, I think... is close to the rationale and it certainly makes perfect sense and
fits well with the physics that deal with wave motion through elastic medium. It
also seems to my mind of thinking easier to deal with when it comes to this
business of the strings partials, or segments.

I still don't really see how any of this is really so totally incompatible with the
diaphragm idea. As I have said all along I would suspect the real truth to all this
lies in some combination of these two rationale and probably some other things we
lay folk and for that matter real physicists as well haven't grasped or thought of
yet.


OK ??


>
> >I am, perhaps due to my own
> >ignorance or perhaps due to some other attribute, a bit more open to pondering
> >differing ideas.... Funny how McFerrins statement about transfer of energy from
> >strings through the bridge is nearly, if not out and out, identical to Robins
> >though... I mean if this theory of his is so stupid and all..
>
> I would greatly appreciate it if you wouldn't
> put words like "stupid" in my mouth.

Sorry... didn't mean to actually put any words into your mouth. I had understood
you found their ideas to be rather less then useful but then its easy to
misinterpret all that kind of extraneous stuff found in these posts. In any case it
was not my intention put words into your mouth... I know I dislike it when that
happens to me as well... so I will be more careful in the future.

> Ron N

Now I gotta read Robins post, and I look forward to his response as I obviously
have embraced the concept of "ripples" as it were and he hasn't been any more
comfortable with them then you have been with compression waves resulting in
transverse motion.

Great fun, and for my part very interesting and stimulating.
--
Richard Brekne
RPT, N.P.T.F.
Bergen, Norway
mailto:rbrekne@broadpark.no




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