The broadband vibration reduction performance of nonlinear energy sink (NES) has attracted wide attention. However, the impact of the NES’s additional mass other than the oscillator and how it is connected to the primary structure has been ignored. More recently, it has been discovered that vibration attenuation through the cellular application of NES can achieve greater efficiency. However, the connection between NES cells and the primary structure, as well as between cells, has not been studied. In this study, by considering the additional mass of the NES cells, the influence of the connection modes of NES cells on the vibration reduction efficiency is investigated theoretically, optimally and experimentally for the first time. The forced vibration models of linear oscillator coupled with NES cells are established by viscoelastic connection and rigid connection respectively. The approximate analysis and numerical analysis show that the vibration reduction efficiency of NES cells is affected by the resonance frequency of the primary structure and the external excitation intensity and shows a nonlinear trend. With the change of the resonant frequency of the primary structure, the viscoelastic connection NES cells can almost always obtain higher vibration reduction efficiency than the rigid connection NES cells. The global bifurcation results show that the strongly modulated responses of the structure can be triggered by the viscoelastic connection. Moreover, the connection modes between NES cells also affect the vibration reduction efficiency. The optimal parameters of the connection damping and connection stiffness are obtained by the particle swarm optimization algorithm. Finally, the viscoelastic connection and rigid connection, and the effect of the connection mode between NES cells on the vibration reduction efficiency are compared by experiments. The conclusions of theoretical research are verified. This work can provide theoretical guidance for the engineering application of NES cells.

中文翻译：

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非线性能量阱的附加质量和连接对减振性能的影响


非线性能量阱 （NES） 的宽带减振性能引起了广泛关注。然而，NES 除振荡器之外的额外质量的影响以及它如何连接到初级结构已被忽略。最近，人们发现，通过 NES 的蜂窝应用进行振动衰减可以实现更高的效率。然而，尚未研究 NES 细胞与一级结构之间以及细胞之间的联系。在本研究中，通过考虑 NES 电池的额外质量，首次从理论、优化和实验的角度研究了 NES 电池的连接模式对减振效率的影响。分别通过粘弹性连接和刚性连接建立了耦合 NES 单元的线性振荡器的受迫振动模型。近似分析和数值分析表明，NES 电池的减振效率受初级结构的谐振频率和外部激励强度的影响，呈非线性趋势。随着初级结构谐振频率的变化，粘弹性连接 NES 单元几乎总是能获得比刚性连接 NES 单元更高的减振效率。全局分岔结果表明，粘弹性连接可以触发结构的强调制响应。此外，NES 电池之间的连接模式也会影响减振效率。通过粒子群优化算法得到连接阻尼和连接刚度的最优参数。 最后，通过实验比较了粘弹性连接和刚性连接，以及 NES 电池之间的连接模式对减振效率的影响。理论研究的结论得到了验证。这项工作可为 NES 电池的工程应用提供理论指导。