Clamped-free bar frequencies

[badoumba]

-Hi
I found the attached formula on the book "The science and application of acoustics" of R.Raichel (isbn 038798907-2) unfortunately not avaliable any longer. Thus I don't know which are the terms of that equations that seems to illustrate the non natural frequency scale of a clamped-free bar (like a hacksaw in a vise).
Can anybody explain to me the different terms or send me a link that explains the frequencies of such a system.

Thanks in advance

 

[tomirvine]

I am uncertain about the formula in your reference.

But here is a tutorial which derives natural frequency formulas for various beam configurations.

http://www.vibrationdata.com/tutorials2/beam.pdf

Tom Irvine

 

[hacksaw]

your frequency condition is for "pinned-free", not the "clamped-free" conditions you seek.

any number handbooks and internet sources explain the various terms.

 

[badoumba]

Thanks Tomirvine and Hacksaw for your tips and documents.
I have everything I need to continue now!