This paper describes a method for the calculation of the sensitivities
of rotating blade root loads and hub loads to changes of blade design
parameters using a chain rule differentiation approach. The algorithm
exploits features of the formulation of the blade and fuselage equati
ons of motion, and of the solution technique, to calculate the sensiti
vities at a fraction of the cost of an aeroelastic analysis. The mathe
matical model of the blade includes nonlinearities because of moderate
ly large elastic deflections and the fuselage is described by nonlinea
r Euler equations, so that the resulting model is valid for both strai
ght and turning flight. The results indicate that the semianalytical t
echnique is very accurate and computationally efficient.