The blade flapping equation in hover is given as follows, where \(\Delta\theta\) is the pitch actuation caused by a feedback system in the form of \(\Delta\theta=\beta_{3c}cos(3\psi)\). Using Fourier coordinate transformation convert these equations into the fixed frame coordinates for a 4-bladed rotor.
This is what I have so far for problem 2. Was unsure how to approach the feedback system in the governing equation. How are you guys dealing with it and if possible why?
Right now I'm treating \(\beta_{3c}\) as a constant in the pitch input term (because it is) which leaves me with \(\Sigma cos(3\psi)\). In the b0 equation, that goes to zero because of the relations in equation 2.90 of the notes. Haven't gotten to the others yet, but I'll see what happens when I do.