On the eigenfrequency optimization of Euler-Bernoulli beams with onlocal damping patches

Abstract

The paper discusses the bending of Euler-Bernoulli beams with external nonlocal damping patches. Unlike ordinary local damping 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 eigenvalues is discussed in order to avoid resonance. The optimization is performed by determining the location of patches from maximizing eigenvalues or gap between them.