Flexural vibrations of rotating beams considering rotary inertia
The effects of rotary inertia on the extensional tensile force and on the eigenvalues of beams rotating uniformly about a transverse axis taking into account longitudinal elasticity are analyzed in this work using the perturbation technique and Galerkin's method. A simple relation for the extensional tensile force is determined that is useful for the design of rotating beams. For a typical helicopter rotor blade, it is shown that the extensional tensile force increases by up to 10% if the rotary inertia contribution is retained in the analysis.
flexural vibration vibrations rotating beams rotary inertia longitudinal vibration blade vibration