Substructure shake table testing (SSTT) is an advanced experimental technique that is suitable for investigating the vibration control of secondary structure-type dampers such as tuned mass dampers (TMDs). The primary structure and damper are considered as analytical and experimental substructures, respectively. The analytical substructures of existing SSTTs have mostly been simplified as SDOF structures or shear-type structures, which is not realistic. A common trend is to simulate the analytical substructure via the finite element (FE) method. In this study, the control effects of four dampers, i.e., TMD, tuned liquid damper (TLD), particle damper (PD) and particle-tuned mass damper (PTMD), on a frame were examined by conducting virtual SSTTs. The frame was modeled through stiffness-based beam-column elements with fiber sections and was solved by a family of model-based integration algorithms. The influences of the auxiliary mass ratio, integration parameters, time step, and time delay on SSTT were investigated. The results indicate that the TLD had the best performance. In addition, SSTT using model-based integration algorithms can provide satisfactory results, even when the time step is relatively large. The effects of integration parameters and time delay are not significant.

中文翻译：

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使用基于模型的积分算法和有限元方法的框架结构-阻尼器系统的子结构振动台测试：数值研究

子结构振动台试验 (SSTT) 是一种先进的实验技术，适用于研究二级结构型阻尼器的振动控制，例如调谐质量阻尼器 (TMD)。主要结构和阻尼器分别被视为分析和实验子结构。现有SSTT的解析子结构大多被简化为单自由度结构或剪切型结构，这是不现实的。一个常见的趋势是通过有限元 (FE) 方法来模拟解析子结构。在这项研究中，通过进行虚拟 SSTT 来检查四个阻尼器，即 TMD、调谐液体阻尼器 (TLD)、粒子阻尼器 (PD) 和粒子调谐质量阻尼器 (PTMD) 对框架的控制效果。框架通过基于刚度的梁柱单元与纤维截面建模，并通过一系列基于模型的集成算法求解。研究了辅助质量比、积分参数、时间步长和时间延迟对SSTT的影响。结果表明，TLD 的性能最好。此外，使用基于模型的集成算法的 SSTT 可以提供令人满意的结果，即使时间步长相对较大。积分参数和时间延迟的影响不显着。使用基于模型的集成算法的 SSTT 可以提供令人满意的结果，即使时间步长相对较大。积分参数和时间延迟的影响不显着。使用基于模型的集成算法的 SSTT 可以提供令人满意的结果，即使时间步长相对较大。积分参数和时间延迟的影响不显着。