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Natural Science Forum / Physics / Acoustics / November 2005Natural Frequency of Pipes etc.
The natural frequency of a cylindrical organ pipe is elementary, dear Dr Watson: open 2 ends: L = lambda/2, closed 1 end: L = lambda/4. BUT, what is the change of diameter like in a trumpet do? And how about change of direction, the simplest that looong Swiss mountain horn which makes a 90 deg turn close to the exit? What are the answers, or, if that is too longwinded, where can I read up on this? Looking forward to hearing from you! Klaus Weber > The natural frequency of a cylindrical organ pipe is elementary, dear Dr > Watson: open 2 ends: L = lambda/2, closed 1 end: L = lambda/4. BUT, what is [quoted text clipped - 8 lines] > > Klaus Weber To begin with: to get the naturel freq of a pipe you have to apply an endcorrection :-) On 11/27/05 1:19 AM, in article -LednXZsI-zL5xTenZ2dnUVZ_v-dnZ2d@is.co.za, > The natural frequency of a cylindrical organ pipe is elementary, dear Dr > Watson: open 2 ends: L = lambda/2, closed 1 end: L = lambda/4. BUT, what is [quoted text clipped - 8 lines] > > Klaus Weber Without an extensive knowledge of mathematical physics and partial differential equations in particular, it is very difficult to understand the fine points of any answers you get to your questions. Some good approximations can be obtained. Good computer simulations may help with fine points such as end effects, and varying size of the bore. What I did find out is that conical bore instruments, such as an oboe, will provide fundamentals for L = lambda/2 instead of L = lambda/4. Then there are the subtler effects on top of that. Bill -- Ferme le Bush |
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