[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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