Interactions among an inerter, spring, and energy dissipation element (EDE) in an inerter system can result in a higher energy dissipation efficiency compared to a single identical EDE, which is referred to as the damping enhancement effect. Previous studies have mainly concentrated on the vibration mitigation effect of the inerter system without an explicit consideration or utilization of the damping enhancement mechanism. In this study, the theoretical essence of the damping enhancement effect is discovered, and a universal design principle is proposed for an inerter system. A fundamental equation is found and demonstrated on the basis of closed-form stochastic responses, which establishes a bridge between the damping deformation enhancement factor (DDEF) and the response mitigation ratio, thus clarifying the relationship of the damping enhancement effect and the response mitigation effect. Inspired by the equation, a novel damping-enhancement-based strategy is proposed to determine the key parameters of an inerter system. Following the performance-demand-based design philosophy, the parameters of the inerter system can be determined in the design condition of a target-damping-enhancement effect. Through the implementation of the damping enhancement equation, the damping parameter of an inerter system can be directly obtained by the prespecified DDEF and the displacement response mitigation ratio. The influence of parameters on the response mitigation effect and the damping enhancement effect is then investigated to determine ways of obtaining the other two parameters in an inerter system. Finally, design examples are conducted to verify the proposed strategy and the theoretical relationship revealed by the damping enhancement equation. The results show that the proposed design strategy explicitly utilizes the damping enhancement effect for vibration control, where the target of the DDEF is effective in enhancing the efficiency of the EDE for energy dissipation. In the design condition of the target DDEF, the implementation of the proposed damping enhancement equation provides an inerter system with a practical equation to determine the key parameters of an inerter system in a direct manner.

Ruifu Zhang

Zhipeng Zhao

Chao Pan

Kohju Ikago

Songtao Xue

Structural Control and Health Monitoring

期刊结构控制和健康监测涵盖结构控制、结构健康监测理论和智能材料和结构的所有理论和技术方面。该期刊专注于航空航天、民用、基础设施和机械工程应用。基于分析、计算和实验方法的原创投稿主要在监测、控制、智能材料和结构三大领域征集，涵盖系统识别、健康监测等学科、健康诊断、多功能材料、信号处理、传感器技术、被动、主动和半主动控制方案和实施、形状记忆合金、压电和机电一体化。还有致动器设计、动态系统、动态稳定性、人工智能工具、数据采集、无线通信、测量、用于局部损坏检测的 MEMS/NEMS 传感器、用于健康监测的光纤传感器、监测系统的远程控制、用于移动应用的传感器-记录器组合、腐蚀传感器、冲刷指示器和实验技术。

The journal "Structural Control and Health Monitoring" covers all theoretical and technical aspects of structural control, structural health monitoring theory, and smart materials and structures. It focuses on applications in aerospace, civil, infrastructure, and mechanical engineering. We welcome original submissions based on analytical, computational, and experimental methods, primarily in the three areas of monitoring, control, and smart materials and structures. Topics include system identification, health monitoring, health diagnosis, multifunctional materials, signal processing, sensor technology, passive, active, and semi-active control schemes and implementations, shape memory alloys, piezoelectric materials, and mechatronics. Additionally, it encompasses actuator design, dynamic systems, dynamic stability, artificial intelligence tools, data acquisition, wireless communication, measurement, MEMS/NEMS sensors for local damage detection, fiber optic sensors for health monitoring, remote control of monitoring systems, sensor-recorder combinations for mobile applications, corrosion sensors, scour indicators, and experimental techniques.

《Structural Control and Health Monitoring》期刊涵盖结构控制、结构健康监测理论以及智能材料和结构的各个理论和技术方面。该期刊专注于航空航天、民用、基础设施和机械工程等应用领域。我们欢迎基于分析、计算和实验方法的原创投稿，主要集中在监测、控制、智能材料和结构三个领域，涉及系统识别、健康监测、健康诊断、多功能材料、信号处理、传感器技术、被动、主动和半主动控制方案及其实施、形状记忆合金、压电材料和机电一体化等内容。此外，还包括致动器设计、动态系统、动态稳定性、人工智能工具、数据采集、无线通信、测量、用于局部损伤检测的MEMS/NEMS传感器、用于健康监测的光纤传感器、监测系统的远程控制、用于移动应用的传感器-记录器组合、腐蚀传感器、冲刷指示器以及实验技术等。

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Damping enhancement principle of inerter system

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