Response and Stability Analysis of Helicopter Rotor Blades Using Computerized Symbolic Manipulation
Final rept. 20 Sep 87-19 Mar 91,
RENSSELAER POLYTECHNIC INST TROY NY DEPT OF MECHANICAL ENGINEERING AERONAUTICAL ENGINEERING AND MECHANICS
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The importance of nonlinearities, and of certain approximations, in the analysis of beams and rotor blades has been addressed in detail. For this, special care was taken in formulating the differential equations of motion of rotor blades in order to be able to identify sources of problematic approximations. In addition, the response of a rotor blade was analyzed by a methodology using an essentially exact solution for the equilibrium state of the blade and by subsequently determining the essentially exact eigenfunctions and eigenvalues associated with the perturbed motion of the blade. The results obtained could serve as a gauge for validating approximate results such as those obtained by a Galerkin procedure. A perturbation methodology was also used to analyze the response of a blade that is either in hover or in forward flight.
- Fluid Mechanics