akoaysigod
Junior Member
- Joined
- Oct 5, 2009
- Messages
- 65
Suppose you had a circular drum with a fixed wave speed and radius. And a string with a fixed wave speed. How would I determine what length the string would need to be in order for the fundamental frequencies to be identical?
I know the frequencies of a string are pi*n*c/l but how do I determine them for the drum? I'm assuming there isn't an explicit formula.
I'm guessing the boundary conditions are such that at r, R(r) = 0 so rather, J0_(0_m) = 0 where that's supposed to be the Bessel function first kind of 0 and 0_m represents its positive roots. And the time derivative of this function is also 0 at 0.
I hope this makes sense. I'd write out the wave equation with these conditions but I know it'll look like a mess.
Thanks
I know the frequencies of a string are pi*n*c/l but how do I determine them for the drum? I'm assuming there isn't an explicit formula.
I'm guessing the boundary conditions are such that at r, R(r) = 0 so rather, J0_(0_m) = 0 where that's supposed to be the Bessel function first kind of 0 and 0_m represents its positive roots. And the time derivative of this function is also 0 at 0.
I hope this makes sense. I'd write out the wave equation with these conditions but I know it'll look like a mess.
Thanks