The incorporation of the inerter with tuned mass damper yields the inerter‐based tuned mass damper that has been verified as effective lightweight or performance‐enhanced control devices. This study theoretically proved an intrinsic effect, namely, the input energy reduction, that the inerter reduces the input energy transmitted into the controlled structures from ground motion. A generic tuned mass damper inerter (GTMDI) including two separating inerters (the total inertance keeps constant) is analyzed to facilitate a universal analysis of typical inerter‐based tuned mass dampers. Closed‐form displacement and power equations are derived for the GTMDI to reveal and clarify the working mechanisms, especially the functionality of inerters. Correspondingly, an energy‐based design framework is established for the design of a new GTMDI and the retrofitting of an existing tuned mass, in which the inertances distributed on the two separating inerters are optimized to make GTMDI outperform the conventional TMDI. Finally, a series of examples verified the discovered effect and derived power equation of GTMDI. In this study, two derived equations confirm that the GTMDI possesses dual benefits, referring to the input energy reduction and the enhanced dissipation power effects. The required physical mass of the GTMDI is relieved due to the reduced input energy, which essentially lays the foundation for lightweight control. The developed energy‐based design framework is suitable for utilizing the dual benefits of GTMDI with a clear physical basis, where the introduced two separating inerters are designed with optimized inertances to guarantee the displacement control demand with a minimized total energy cost.

中文翻译：

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具有通用调谐质量阻尼器惰化器的结构的输入能量减少原理

将惯性器与调谐质量阻尼器结合使用可产生基于惯性器的调谐质量阻尼器，已被证实是有效的轻巧或性能增强的控制设备。这项研究从理论上证明了一种固有的效果，即输入能量的减少，即惯性减少了地面运动传递到受控结构中的输入能量。对包括两个分开的惰性气体（总惯性保持恒定）的通用调谐质量阻尼器惰性装置（GTMDI）进行了分析，以便于对基于惯性的典型调谐质量阻尼器进行通用分析。为GTMDI导出了闭合形​​式的位移和功率方程，以揭示和阐明工作机制，尤其是惰性气体发生器的功能。相应地，建立了基于能量的设计框架，用于设计新的GTMDI和改造现有的已调谐质量，其中优化了分布在两个分离惰性气体上的惯性，以使GTMDI优于常规TMDI。最后，一系列实例验证了GTMDI的发现效果和导出的功率方程。在这项研究中，两个导出的方程式证实了GTMDI具有双重好处，涉及到输入能量的减少和增强的功耗的影响。由于减少了输入能量，因此减轻了GTMDI所需的物理质量，从而为轻量化控制奠定了基础。已开发的基于能源的设计框架适合在清晰的物理基础上利用GTMDI的双重优势，