On the in-plane vibrations of a rotating ring with equi-spaced spokes

Natural frequencies are obtained for a rotating ring with equi-spaced spokes by using a wave approach. Each spoke is idealized as a combination of tangential, rotational, and radial stiffnesses acting at the mid-plane of the ring. Results show the effect of rotational speed and spoke stiffness on the natural frequencies. The presence of a zero natural frequency at certain rotational speeds and also at certain spoke stiffnesses is discussed.