Abstract
Bending vibrations of a rotating curved cantilever beam with, centroidal axis represented by a circular arc have been investigated by using Galerkin's method. Legendre polynomials are used to represent the shape functions. Longitudinal inertia and Coriolis effects are neglected in the analysis. At various rotating speeds, frequencies accounting for hub size, beam cross-section orientation and curvature have been computed and presented by curves. The beam curvature has only little effect on the frequency for nonrotating beams. For rotating beams the frequency generally decreases as the curvature increases, and the reduction from the straight beam frequency increases as the rotating speed increases. The effect of the beam cross-section orientation is significant only for the fundamental frequencies.
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