[TheForge] Re: triangle bells/rebar

Mike Spencer mspencer at tallships.ca
Sat Sep 18 19:09:25 EDT 2004



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?

Huh.  I must have a 15" piece of 1" solid around here
somewhere.... mutter... mumble...

- Mike

-- 
Michael Spencer                  Nova Scotia, Canada       .~. 
                                                           /V\ 
mspencer at tallships.ca                                     /( )\
http://home.tallships.ca/mspencer/                        ^^-^^

-- 





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