Simple mathematical model of histeresis loop for nonlinear materials

The paper is devoted to development of simple and easily interpreted mathematical model of a hysteresis loop for nonlinear materials. The analytical expressions are received, allowing to model a hysteresis at various regimes of vibrations and with various functions of saturation. Critical points of a loop are defined and their dependence on properties of material is found. Applicability of the developed model to the description hysteresis dependences of real materials is shown.