- #1
Dalmaril
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Hello! I have a problem and if anyone could help that would be great.
Imagine that you have a cantilever beam of length L and has an end mass m. In order to calculate the natural frequency I use the equation:
f=(1/2*pi)*SQRT(3EI/mL^3).
a) The moment of inertia in the equation is the sum of both the cantilever and the mass, correct??
b) The moment of inertia of the mass is given through Steiner theorem: I = Ic + ma^2, where Ic = (bh^3)/12 (b and h are the mass' geometric characteristics) and a is the distance from the CM of the beam, correct??
c) The problem is that when I input these parameters to the frequency equation, I am not getting Hz at the end. Is (a) and (b) correct, cause that's where I think the problem is.
Thanks in advance!
Imagine that you have a cantilever beam of length L and has an end mass m. In order to calculate the natural frequency I use the equation:
f=(1/2*pi)*SQRT(3EI/mL^3).
a) The moment of inertia in the equation is the sum of both the cantilever and the mass, correct??
b) The moment of inertia of the mass is given through Steiner theorem: I = Ic + ma^2, where Ic = (bh^3)/12 (b and h are the mass' geometric characteristics) and a is the distance from the CM of the beam, correct??
c) The problem is that when I input these parameters to the frequency equation, I am not getting Hz at the end. Is (a) and (b) correct, cause that's where I think the problem is.
Thanks in advance!