So I did a wind tunnel experiment where I put a rope restrained (1 degree of freedom, so it can wave in the direction of the wind) at one end so that it displaces according to the variation in wind speed. I have a NON-LINEAR graph when I plot the wind speed and the angular displacement and I'm trying to explain why that's happening.
Here's a schematic of the problem that I've made. As we know, wind load has a linear relationship with the square of wind speed and a nonlinear relationship with wind speed. The opposite applies here. Why please? How can we consider friction in the rotation point? And we are considering only pure horizontal wind.