
I am a new Mathimatica user and I need some help creating a script for fomula (3) as in the attached image. It is a modified Rayleigh method which calculated the natural frequency of a tapered offshore wind tower. Source Paper
Some variables:
x = height = 102 m ,
Yx = static deflection = ?x^3 L^-3 ,
E = youngs modulus = 210,000 N/mm² ,
? = amplitude of bending ,
I1, I2, I3 = moment of inertia for each cross section ,
A1,A2,A3 = area for each cross section ,
? = density of material = mass/ volume ,
M = mass of the blades and nacelle = 4MN ,
Jnb = moment of inertia of M