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hfeithAnswer
1-Visitor
December 29, 2016

Note that the formula in "Vibration of a cylindrical drum.xmcd.zip" was wrong (copy and paste error ). Sorry for that.

I corrcted it. As I had already guessed, it had something to do with

coordinate transformation. I got it now,and from my point of view the case is closed.

Here is the file :

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4 replies

Werner_E
Werner_E25-Diamond I
25-Diamond I
December 17, 2016

> I'm sure that this will also work in Mathcad

Sure, once you get your math right. But I doubt that anybody will do this for you.

Simply using the last equation in this article and throwing in some arbitrary number obviously doesn't do the job.

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hfeith1-VisitorAuthorAnswer
1-Visitor
December 29, 2016

Note that the formula in "Vibration of a cylindrical drum.xmcd.zip" was wrong (copy and paste error ). Sorry for that.

I corrcted it. As I had already guessed, it had something to do with

coordinate transformation. I got it now,and from my point of view the case is closed.

Here is the file :

Translate
Werner_E
Werner_E25-Diamond I
25-Diamond I
December 29, 2016

Much better 😉

But it should be simply u instead of sin(u) as we are dealing with cylindrical coordinates, not spherical ones.

You can also let Mathcad do the transformation by using the appropriate argument in CreateMesh:

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hfeith1-VisitorAuthor
1-Visitor
December 29, 2016

cyl2xyz didn't work, first, though I decided to transform "manually".

The cylindrical coordinates transform is of course the correct one.

In the formula for Mathcad I also replaced J0(...) by Jn(m,...).to do

justice to the general case.

Have a nice day.

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