Abstract
In this paper, stability problem of rotating tapered composite beams with metamaterial core subjected to tangential tip follower force is investigated. The governing equations of motion of the beam are derived on the basis of Timoshenko beam theory, and differential quadrature method is used to discretize the partial differential equations. By considering the five topologies of cellular metamaterial core, the critical flutter force is obtained. In order to confirm the validity and accuracy of the formulations, the numerical results are compared with the results reported in the literature. The effects of relative density and the topology of the core and rotating velocity on the stability characteristics are examined. The numerical results show that the meta-sandwich structure enhances the critical force of long beams. Also, rotation increases the critical flutter force of the beam.
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