Constructing a Tubular Bell Array: Solving the Wave Equation

[ELESSAR TELKONT]

I have the next theoretical-practical problem. I have to build a tubular bell array (like that at symphonic orchrestas) with tubes (not rods) of aluminium or copper. The principal problem I have is I don't know how to state the wave equation for a tube (I have done it for a string). How I do it?

When I have the wave equation stated I must get the frecuencies to get a standing wave. Obviously this is what I want.

Could you help me?

 

[tyco05]

If the bells are open at both ends, the wave equation is the same as for strings.

 

[ELESSAR TELKONT]

Ok but of what quantities the velocity of propagation depends on that's my problem.

 

[tyco05]

The velocity of propagation is the velocity of sound.