Re: [Harp-L] free reed physics

[sheltraw@xxxxxxxxxxxx]

Hi Joe

I am not planning on writing a paper for publication nor am I ruling it
out. Presently I just want to know what the state of the art is with
respect to the mathematical physics of the free reed.

Cheers!



> What are you doing? a paper?
>
> Skippy D. Deaudaux
>
> On Feb 1, 2011, at 3:59 PM, sheltraw@xxxxxxxxxxxx wrote:
>
>> This is a question for the physicists, engineers and mathematicians
>> amongst us.
>>
>> I am looking for a concise description of harmonica physics. This
>> description
>> should include the differential equations which describe the
>> dynamics of the
>> system. My understanding is that harmonicas are classified as free-
>> reed
>> instruments so any concise description of free-reed physics would
>> probably
>> do nicely as well. My initial interest is not does not include the
>> dynamics
>> of bending notes on diatonic harps - single free-reed bending would be
>> sufficient.
>>
>> My suspicion is that an adequate description of the free-reed dynamics
>> would be described by coupled ordinary differential equations with
>> constant coefficients. One equation would Newtons Second Law
>> applied to
>> the reed and the second equation would be the Second Law applied to
>> the
>> air column which is forced through the slot.
>>
>> I have texts which give non-concise and unnecessarily complicated
>> descriptions. I'm looking for something better.
>>
>> Any help is appreciated.
>>
>> Cheers!
>>
>
>