Wave control of a class of flexible beams by an idea of imaginary beam

This paper proposes a method of wave control for a class of uniform flexible beams by introducing an idea of a fictitious beam with finite length and distributed damping. This beam is assumed to be connected serially at the free-end of the real beam of interest, and its function is to act as an absorber to absorb the energy conveyed by travelling waves. For the damping force two kinds of damping term, viscous and Kelvin-Voigt type dampings are considered, and their optimal coefficients are determined by solving the parameter optimization problem to minimize the absorption efficiency becomes maximum. Furthermore several simulations were performed.