On the optimum absorber parameters: revising the classical results

The dynamic vibration absorber is a kind of mechanical device with inertia, stiffness, and
damping. Once connected to a given structure or machine, it is capable of absorbing vibratory
energy. As a result, the primary system can be protected from excessively high vibration
levels. In this paper, we deal with classical Den Hartog’s model to clarify the known results
and improve the mathematical component of this approach. We suggest the optimal choice
of absorber parameters, which is slightly different and more general analytical approach.
The comparison of two methods of optimization is carried out, and the corresponding error
of calculus is estimated.