The purpose of this study is to investigate the optimization of parameters of an elastic beam equipped with dynamic vibration absorbers under transverse oscillations. Special attention is given to improving the efficiency of vibration suppression by selecting optimal system parameters, as well as analyzing the influence of mass ratio and installation positions of the absorbers.

Methods. The problem is formulated within the framework of classical beam theory. The solution of transverse vibration equations is obtained using the Bubnov–Galerkin method, which allows reducing the governing partial differential equations to a system of ordinary differential equations. Additionally, the vertical tangents method is applied to determine optimal tuning conditions of dynamic vibration absorbers based on amplitude–frequency characteristics. For the case of multiple absorbers, the method of expansion in eigenfunctions (natural modes) is used to construct approximate analytical solutions.

Results. Analytical expressions describing the damping efficiency of transverse vibrations are obtained. It is shown how the optimal parameters of dynamic absorbers depend on the mass ratio and their spatial configuration along the beam. The study demonstrates that the use of two parallel-installed dynamic absorbers significantly improves vibration suppression over a wider frequency range. The amplitude–frequency characteristics of the system are analyzed, and optimal tuning parameters are identified for various boundary conditions.

Conclusion. The proposed approach provides an effective framework for optimizing vibration control systems in elastic beams. The combined use of the Bubnov–Galerkin method and the vertical tangents method ensures high accuracy and computational efficiency. The obtained results can be applied in engineering design of structures requiring enhanced vibration suppression.