The present paper continues the author’s studies where the problem of the control of forced bending vibrations of a metal beam using piezoelectric sensors and actuators has been investigated. In those studies, all the control results were obtained experimentally. However, in order to make the design of the control systems the most effective, it was necessary to develop a numerical model, which would allow one to get the results for different variants of such systems, and that was the objective of the present study. In this study, the main experimental data were reproduced numerically on a basis of the finite element model of the object. In addition, new modal control systems were designed, providing a more efficient reduction of the amplitude of resonance vibrations of a beam compared to the systems considered experimentally.