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I need to find the natural frequency of a Cantilever Beam. The beam is tapered in breadth, but has a uniform thickness. So basically the end goal is an equation for f as a function of the angle of the side cut.

Clamped at one end

L=constant

B=changes though the length of the beam and is dependent on the angle from the z axis (along the beam)

H=constant (thickness)

E constant,

So obviously the second moment of area will be a function of x or angle.

The end equation will be used in matlab to for a plot angle vs frequency

Any pointers, or a solution would be most helpful,

Thanks for your time