O. Rand et Sm. Barkai, NUMERICAL EVALUATION OF THE EQUATIONS OF MOTION OF HELICOPTER BLADES WITH SYMBOLIC EXACTNESS, Journal of the American Helicopter Society, 40(1), 1995, pp. 59-71
The paper presents a new numerical technique for the formulation of th
e equations of motion of general dynamic systems with an emphasis on t
he equations of motion of helicopter blades. The method is based on th
e definition of ''Objective Numbers'' and the mathematical operations
that permit introduction of them into the formulation. It is shown tha
t the present technique provides symbolic exactness while preserving t
he benefits of numerical coding techniques. The method permits great f
lexibility in the introduction of modifications to the system and in t
he choice of parameters that are required to appear symbolically in th
e equations. Sample calculations of the equations of motion of helicop
ter blades that operate in a gimbaled rotor are presented and discusse
d.