- #1
iamfromspace
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(Repost of thread, wrong forum).
Hi all,
I'm writing a simulation of Chladni plates in Max/MSP and hope to use it in granular synthesis. I have found two formulas on the web; square and circular plate. I understand the square but the circular is quite confusing as I'm not a mathematician and I need help breaking it down so I can compute it in Max/MSP. Can anyone shed some light on the following formula?... :)
"For a circular plate with radius R the solution is given in terms of polar coordinates (r,theta) by
Jn(K r) (C1 cos(n theta) + C2 sin(n theta))
Where Jn is the n'th order Bessel function. If the plate is fixed around the rim (eg: a drum) then K = Znm / R, Znm is the m'th zero of the n'th order Bessel function. The term "Znm r / R" means the Bessel function term goes to zero at the rim as required by the constraint of the rim being fixed."
Btw, I'm not looking for someone to hold my hand... just a little guidance..
Thanks.
Hi all,
I'm writing a simulation of Chladni plates in Max/MSP and hope to use it in granular synthesis. I have found two formulas on the web; square and circular plate. I understand the square but the circular is quite confusing as I'm not a mathematician and I need help breaking it down so I can compute it in Max/MSP. Can anyone shed some light on the following formula?... :)
"For a circular plate with radius R the solution is given in terms of polar coordinates (r,theta) by
Jn(K r) (C1 cos(n theta) + C2 sin(n theta))
Where Jn is the n'th order Bessel function. If the plate is fixed around the rim (eg: a drum) then K = Znm / R, Znm is the m'th zero of the n'th order Bessel function. The term "Znm r / R" means the Bessel function term goes to zero at the rim as required by the constraint of the rim being fixed."
Btw, I'm not looking for someone to hold my hand... just a little guidance..
Thanks.