The Rotating Beam Problem in Helicopter Dynamics by Ranjan Ganguli & Vijay Panchore

Author:Ranjan Ganguli & Vijay Panchore
Language: eng
Format: epub
Publisher: Springer Singapore, Singapore

1.15 Derivation of Elastic Rotor Blade Equation

Here, we derive the equation for free vibration of the rotor blade.

Consider Fig. 1.21a, which shows the deflection of an elastic blade. Figure 1.21b shows the forces acting on a small section of the elastic blade. Here, M is the bending moment, G is the centrifugal force, and S is the shear force acting on the blade section.

Fig. 1.21 a Deflection of an elastic rotor blade. b Force diagram

We write the force and moment balance equations, considering the centrifugal force and inertial force:

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