Thank you btrueblood----
I see now--that Den Hartog uses omega as "circular frequency" in this case---so of course, 1/(2pi) to convert to cycles/sec.
And of course I now see it in the equations, too---like you say, no conversions from radians due to the transcendentals....
Best regards
Bill
Oops!
The first equation at the top, I accidentally wrote length^3 when it should read length^4:
freq=3.52 * {E*I/[(mass/length)*length^4]}^0.5
of course, you can move the length out from under the radical, and get:
3.52/L^2 * [E*I/mu1]^0.5
Hi,
I am not sure about the factor 1/2pi. From Den Hartog, for a cantilever beam, we have:
freq=3.52 * {E*I/[(mass/length)*length^3]}^0.5
(mass/length is referred to as mu1 )
which is derived as:
(noting that a quarter cosine wave is a staring point, but not an exact solution)...
