In order to improve damping energy dissipation of a U-shaped bellows structure, elastic-porous metal rubber as a cover layer was adopted and the corresponding vibration parameters were identified. First, the evolution of energy dissipation characteristics with respect to the changes of amplitude and frequency was investigated through a dynamic experimental test in the bending direction of the covered bellows structure. Second, the conspicuous hysteresis loop characteristics were described while the nonlinear constitutive relation was analytically modelled based on the exact decomposition method. Third, the corresponding parameters on dynamic properties of the covered bellows structure were determined by generalized least-squares estimation. Finally, the prediction results were compared with the measured displacement-restoring force curves to verify the accuracy of the developed dynamic model. The results indicate that the proposed dynamic model associated with the nonlinear constitutive relation for the covered bellows structure can well describe the evolution of the restoring force in terms of amplitude and frequency.

中文翻译：

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弹性多孔金属橡胶覆盖的波纹管结构的阻尼耗能及参数辨识

为了提高U型波纹管结构的阻尼耗能，采用弹性多孔金属橡胶作为覆盖层，并确定了相应的振动参数。首先，通过动态实验测试，研究了波纹管结构弯曲方向上能量耗散特性随振幅和频率变化的演变。其次，描述了明显的磁滞回线特性，同时基于精确分解方法对非线性本构关系进行了建模。第三，通过广义最小二乘估计确定了波纹管结构动力特性的相应参数。最后，将预测结果与测得的位移恢复力曲线进行比较，以验证所开发动态模型的准确性。结果表明，所提出的与波纹管结构非线性本构关系相关的动力学模型可以很好地描述恢复力在振幅和频率方面的变化。