一类迟滞非线性振动系统建模新方法

NEW METHOD FOR MODELING OF A NORLINEAR VIBRATION SYSTEM WITH HYSTERESIS CHARACTERISTICS

用理论和试验相结合的手段研究一类迟滞非线性振动系统的动力建模， 提出一种新的建模方法， 用此方法建立非线性模型用来描述这类系统的动态特性。该模型用非线性刚度和非线性阻尼机理构造， 刚度和阻尼机理由理论和试验推出， 模型中的参数由试验数据辨识。用所建模型重构恢复力——位移迟滞环， 结果表明， 该模型能很好描述这类非线性振动系统的特性， 模型中各参数的重要性得到展示， 提出的建模方法实用且有效。

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 vs 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.