Nonlinear control methods and devices have been widely used in seismic vibration reduction of engineering structures. A nonlinear gas-spring dynamic vibration absorber (NGSDVA) has been recently proposed by the authors and demonstrates a wideband vibration suppression capability across various excitation amplitudes. In this study, an energy analysis method for a multi-story structure with NGSDVA attached under seismic excitation is proposed through experimental and numerical simulation analysis. The energy distribution of the controlled structure and the energy transmission process between the main structure and the damping system are analyzed. It is found that the intermodal energy transfer phenomenon occurs in the five-story steel frame structure during the energy transmission process, while the first-order modal energy is converted to high-order modal energy simultaneously. A series of energy-based parametric studies are further conducted, and the consistency of the parameter influence rules under four different seismic waves is proved, indicating the advantages of energy evaluation indicators for optimizing the design of this nonlinear damper with amplitude-frequency characteristics.

中文翻译：

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地震激励下非线性气弹簧动态减振器的能量分析

非线性控制方法和装置已广泛应用于工程结构的地震减振中。作者最近提出了一种非线性气弹簧动态减振器（NGSDVA），并展示了跨各种激励幅度的宽带振动抑制能力。本研究通过实验和数值模拟分析，提出了一种在地震激励下附有NGSDVA的多层结构的能量分析方法。分析了受控结构的能量分布以及主体结构与阻尼系统之间的能量传递过程。研究发现，五层钢框架结构在能量传递过程中出现多模态能量传递现象，一阶模态能量同时转换为高阶模态能量。进一步开展了一系列基于能量的参数研究，证明了四种不同地震波下参数影响规则的一致性，表明能量评价指标对于这种幅频特性非线性阻尼器优化设计的优势。