金属橡胶非线性动力学特性建模方法研究

通过对几种工程实用的金属橡胶非线性动力学模型的分析，给出了迹法模型和有记忆型模型的具体推导，并给出具体的参数分离识别方法。采用上述数学模型对金属橡胶减振元件的实验数据进行参数识别，并重构了其位移恢复力迟滞曲线，深入分析金属橡胶材料各动力学数学模型中的内在减振机理。对比分析结果表明：各种数学模型及识别方法均能对金属橡胶材料迟滞特性进行比较满意的建模。从工程实用和满足精度要求的角度出发，混合阻尼模型数学形式较为简单可靠，是金属橡胶动力学模型的工程实用首选，上述模型将为金属橡胶新型减振材料更好地在实际工程中广泛应用提供参考。

Several Practical Approaches for Nonlinear Dynamic Modeling of Metal Rubber

Three practical nonlinear model of dyanamic behavior of metal rubber is presented, the two specific forms of the trace model and the memory-based model is mathimatically derived with details, and the method of parameter separated identification is presented. Parameters of the model are identified with the experimental data of metal rubber, and the theoretical hysteresis curves are reconstructed, and the mechanism of the nonlinear damping behavior in the mathematical model of the metal rubber is analysed. The theoretical loops and the experimental one are close to each other with satisfactory performance. With the comparision of the three theoretical models, conclusion can be obtained that with the simple metathmatical form and the satistifactory precision, the mixed damping model should be the first-line choice in practical engineering. This study provides a prctical and effective method in modeling and the parameter identification of the metal rubber isoaltor.