Metal rubber has been widely applied in the fields of structural vibration reduction and impact protection, due to its excellent mechanical properties. However, an accurate constitutive model of metal rubber to characterize its complex nonlinear mechanical behavior is still lacking. In this paper, a new constitutive model of metal rubber based on the Iwan model (parallel spring-slider model) is proposed, where the friction coefficient of sliders satisfy a given probability distribution. The nonlinear-elasticity and dry friction of metal rubber are considered in this model. The proposed model can characterize the mechanical behavior of metal rubber under the complex loading–unloading-reloading path. Furthermore, the constitutive model is used to simulate random vibration in time domain, and three nonlinear phenomena are simulated, which are consistent with the experiment. Based on the proposed model, a simplified and efficient model is also developed, which can be used for efficient computational. The proposed model would be an effective tool for quasi-static and vibration simulation of metal rubber.

中文翻译：

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基于修正Iwan模型的准静态压缩和随机振动下金属橡胶本构模型

金属橡胶因其优异的机械性能，在结构减振和冲击防护领域得到了广泛的应用。然而，仍然缺乏准确的金属橡胶本构模型来表征其复杂的非线性力学行为。本文提出了一种基于Iwan模型（平行弹簧-滑块模型）的新型金属橡胶本构模型，其中滑块的摩擦系数满足给定的概率分布。该模型考虑了金属橡胶的非线性弹性和干摩擦。该模型可以表征金属橡胶在复杂的加载-卸载-再加载路径下的力学行为。此外，利用本构模型模拟时域随机振动，模拟了三种非线性现象，与实验结果一致。基于所提出的模型，还开发了一个简化且高效的模型，可用于高效计算。该模型将成为金属橡胶准静态和振动模拟的有效工具。