[TheForge] Re: triangle bells/rebar

[Mike Linn]

I'm pretty sure the equations and thus the nodal points would be the same
because the equations are based on mass per unit length.

A solid bar is just a tube with an infinitely small hole ;^)

mike



At 05:09 PM 9/18/2004, you wrote:


>AndyG> All those formulae were for hollow tube, weren't they?
>AndyG> Do solid rods vibrate with the same nodes?
>
>Good question.  All those pages of text book differential equations
>and hand-scrawled more-of-same at:
>
>     http://www1.iwvisp.com/cllsj/windchimes/euler.html
>
>are far beyond me but from looking at the pictures and the occasional
>ordinary english word, I gathered that they were Euler's equations for
>"uniform beams".  Is a tube a uniform beam?  That seems to be implied
>by using the equations for (typically tubular) chimes.  I would guess
>-- leaping over very low buildings with a running start here -- that
>the nodal points would be the same but the maybe the natural
>frequencies would be different?


            Mike Linn
      Artist Blacksmith
          McCalla, AL
        AFC Webmaster
http://afc.abana-chapter.com


"Don't worry Chief, I can stand the torture if they can stand the screaming."
                                              - Maxwell Smart, Secret Agent 86


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