Metal Tubes
Posted on Thursday, July 31st, 2008 at 2:25 pmHow can I work out the frequency that a metal tube closed at each end will ring at when struck with a hammer?
How can I work out the frequency that a metal tube closed at each end will ring at when struck with a hammer?
A further point is what frequency will it ring at if it is full of water AND underwater or full of air and underwater.
Equations for the fundamental mode of oscillation of thin-walled tubes in air is given here -
http://mysite.verizon.net/cllsj/windchimes/home.htm
And some software for designing wind-chimes can be downloaded free from here -
http://www.gdp-research.com.au/soft_1.htm
I am not certain about how the natural modes change when the tube is immersed in water, but it might be that, since the frequency is mainly determined by the mass per unit length, the stiffness, and the length of the oscillating system, the medium in which it is immersed might not have much effect. It would certainly have an effect on the damping, however.
Sorry I can't help more. I feel this should be a good start. Maybe as regards the effect of water, you should suspend a tube in water and see if its pitch changes from what it was in air - nothing like an experiment I say !
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