- #1

alimon.cioro

- 1

- 0

A = (Fo/m)/ (sqrt( (wo^2-w^2)^2+(wy)^2) ).

where

Fo= driving force,

m=mass of spring

wo=natural frequency of system.

w=driving frequency

y=damping constant.

Now my question is how do you find the driving angular frequency w at which A is maximum, which should be the resonante frequency (that is not exactly Wo).

The resonant frequency formula is :

Wres = sqrt(Wo^2-(y^2)/2)) .

I though that differentiating the formula for A in terms of dA/dw and equating it to zero should give me an answer but the maths look to convoluted for such a simple answer. Any ideas of how to get the resonante frequency?