Abstract: A combined theoretical and experimental study of a nonlinear vibration with hysteresis characteristics is done and a new method for modeling of the nonlinear vibration system is presented. A nonlinear model is proposed that describes the dynamic behavior of the system with the method. The model is constructed using a nonlinear combination of dynamic nonlinear stiffness and dynamic nonlinear hysteresis damping mechanisms. The mechanisms are chosen based on the experimentally observed dynamic characteristics of the kind dashpot behavior and analyzing the experimental data for the kind dashpot. The parameters in the model are identificated from the experimental hysteresis data. The force is displacement hysteresis loops are the reconstructed using the model with these identificated parameters. The results show that the model captures the nonlinear vibration system behavior quite accurately and the proposed method is practicable for modeling of a nonlinear vibration system with hysteresis characteristics.

Key words: Hysteresis, Modeling, Nonlinear, Vibration