Wave control of a class of flexible beams by an idea of imaginarybeam

摘要

This paper proposes a method of wave control for a class ofuniform flexible beams by introducing an idea of a fictitious beam withfinite length and distributed damping. This beam is assumed to beconnected serially at the free-end of the real beam of interest, and itsfunction is to act as an absorber to absorb the energy conveyed bytravelling waves. For the damping force two kinds of damping term,viscous and Kelvin-Voigt type dampings are considered, and their optimalcoefficients are determined by solving the parameter optimizationproblem to minimize the absorption efficiency becomes maximum.Furthermore several simulations were performed