中文摘要：

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.

英文摘要：

Three nonlinear models for dynamic behavior analysis of metal rubber were presented. Of them, two specific forms of the trace models and the memory-based model were mathematically derived, and the method of parameter-separate identification was presented. Model parameters were identified using the experimental data of the metal rubber. The hysteresis curves of displacement against recovering force were reconstructed. The mechanism of nonlinear damping behavior in the mathematical models of the metal rubber was analyzed. It is found that the theoretical hysteresis loops resulted from the three mathematical models and the experimental hysteresis loops are close to each other. With the comparison of the three models, it can be concluded that the mixed damping model should be the prior choice in practical engineering application due to its simple mathematical form and the satisfactory precision. This study provides a practical and effective method in modeling and the parameter identification for metal rubber isolators.