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Picture a series of strings around a circle, oscillating with fixed ends. Now picture a these strings as being in a pseudo-cylinder. Akin to a "breathing" tube, expanding and contracting in on itself.

I'm trying to identify just how that'd work for an idea that I have about an IPMC configuration.

The mechanical response-- as I see it is similar to a standard transverse wave.

What bothers me is the compression that would occur with each "inward" bound oscillation.

I.e., the trough of a y(x,t) = A cos(kx-omega*t) wave.

I am interested in mathematically modeling it in Matlab, but am not a programmer.

So, my question here today is:

Can I do a basic cylindrical treatment of this transverse wave equation?

If this is not enough information to start the discussion, please advise and I'll give more.

Thank you.

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# Cylindrical transverse oscillation

Can you offer guidance or do you also need help?

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