Re: A discrete model of waves propagation

OG wrote:
"LordBeotian" <pokipsy76@xxxxxxxxxxxxxxxx> wrote in message
news:ei2l6d$fhn$1@xxxxxxxxxxxxxxxxxxxxxxxx

"Sue..." <suzysewnshow@xxxxxxxxxxxx> ha scritto

They are *springs*, not strings!

It doesn't matter what you call them. The mass and the
tension are the operative parameters.

Words are important, you can't call "string" a spring and you can't work
with springs like they were strings.

If your initial impulse is transverse to the direction of the springs, then
a 'string' type model can be applied.

Yes... I am being overly broad beacause I am a little unsure just
what you are trying to learn about the configuration. If you have some
background in electromagnetism, you might accomplish more by
comparing lumped constant delay lines with distributed delay lines.

The principle is the same. You might, for example compare a wound
intrument string, with a string that has weights bunched along the
length as you have illustraed.

All kinds of filters can be designed by varying the distribution of the
constants and altering the terminations so there is not a general
answer to your question. You'll have to take a specific set of
constants and characterise it for a range of frequencies.

The simplest is the optimially terminated transmission line
(a uniform string) because it is just an impulse delay. I didn't think
you wanted to get into filter design which can be a career all
on its own.

Sue...




if the initial impulse is in the direction of the springs (i.e. the first
mass is pushed towards the second mass), you'll have to use a model such as
used for the transmission of sounds in solids. The two critical factors
there are the Elastic Property (related to the compressibility of the
springs) and the Inertial Property (related to the mass and separation of
the springs and masses).
See
http://hyperphysics.phy-astr.gsu.edu/hbase/sound/souspe2.html#c1

It is not clear which you intended, so you should be able to see why Sue's
answer is not wrong - just not the problem you are intending to describe.

.

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