On the Beams with External Auxetic Patches

Abstract

The paper discusses the behavior of beams with external damping patches made of auxetic materials. The damping force is modeled by using the nonlocal theory. Unlike the local models, the nonlocal damping force is modeled as a weighted average of the velocity field over the spatial domain, determined by a kernel function based on distance measures. The performance with respect to the eigenvalues is discussed next, in order to avoid resonance. The optimization is performed by determining the location of patches from maximizing the eigenvalues, or the gap between them.