Modeling of nonlinear oscilations of elastic system with hysteresis and relaxation

The mathematical model of oscillations of elastic system with hysteresis and relaxation is discussed. There are considered the problem of amplitude of oscillations determination. The aim of this papes is to give analytical estimation for amplitude of oscillations for minimal experimental data. The proposed method, based on systems comparison, generates an explicit analytical expression of estimation of systems energy. In special case this approach gives the analytical procedure of the problem decison.