Damping has a significant influence on the calculation of structural seismic response. In this paper, we compare the commonly used viscous damping (Rayleigh damping (RD) and Caughey damping (CD)) in combination with the isolated structure test. To avoid the arbitrariness of choosing two reference vibration frequencies in constructing RD, all the combinations of the first several vibration frequencies were calculated. Because the material characteristics of the isolation layer and the superstructure are significantly different and the deformation of the isolation layer is large, we construct nonproportional damping according to these two kinds of damping and make a comparative analysis. Analyzing experimental data, we can obtain the optimal frequency combination of RD and nonproportional damping during dynamic analysis of the isolated structure, the priority order of choosing damping models. For the calculation of RD, the 1st modal frequency of the structure should be included, and the 2nd and 3rd modal frequencies of the nonisolated structure are proposed to calculate the nonproportional damping based on Rayleigh damping (NP-RD) for the three-story frame structure in this paper. RD and nonproportional damping based on Caughey damping (NP-CD) are firstly recommended to be used in the calculation of the isolated structure, followed by NP-RD and then CD.

中文翻译：

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隔震结构动力分析中阻尼啮合方法的研究

阻尼对结构地震反应的计算有重要影响。在本文中，我们结合隔离结构试验比较了常用的粘性阻尼（瑞利阻尼（RD）和考伊阻尼（CD））。为了避免在构造RD时随意选择两个参考振动频率，计算了前几个振动频率的所有组合。由于隔震层与上部结构的材料特性明显不同，且隔震层的变形较大，我们根据这两种阻尼构造非比例阻尼并进行对比分析。分析实验数据，我们可以在隔离结构的动态分析中获得 RD 和非比例阻尼的最佳频率组合，选择阻尼模型的优先顺序。RD的计算应包括结构的第一模态频率，并提出非隔震结构的第二和第三模态频率来计算三层框架的基于瑞利阻尼（NP-RD）的非比例阻尼本文的结构。RD 和基于 Caughey 阻尼的非比例阻尼（NP-CD）被推荐用于隔离结构的计算，其次是 NP-RD，然后是 CD。