I am having a trouble while detemrining the wind turbine tower side-to-side bending moment from the aerodynamic rotor torque in frequency domain.
Form my point, I think that the PSD of the side-to-side moment should be obtained through the PSD of the aerodynamic torque times the transfer function of the linear system:
S_{output} = S_{input} * H_{transfer function}
Hence,
S_{side side} = S_{toque} * 1./((1-frequency.^2./fNat.^2).^2+4*dRatio^2*frequency.^2./fNat.^2);
Where dRat is the damping ratio (0.03) and fNat the natural frequency. As you can see in this plot the black line is lower than the blue and red lines which are the target values.

I have checked and my S_{torque} is correct. So please I would appreciate any hint. Thanks