This study is concerned with structural vibration reduction using a four-parameter isolator designed as a scissor-like structure, which can induce geometric nonlinearity during the deformation process. The displacement transmissibility of the isolator including the geometric nonlinearity under base excitations is thoroughly investigated. First, the dynamic model of the four-parameter isolator is presented. Then, by utilizing the harmonic balanced method (HBM), the steady-state solutions of the inertia mass and auxiliary spring of the proposed isolator are derived. The analytical solutions are validated by comparing with those obtained by the direct numerical integrating method. Besides, the natural frequency of the nonlinear isolation system is presented and investigated. Moreover, the isolation performance of the four-parameter isolator is assessed in terms of the relative and absolute displacement transmissibilities, and compared with that of the linear Zener model, by which the advantages of the present isolator have been clearly revealed. The effects of various design parameters on the displacement transmissibility of the isolator are also analyzed. Finally, a further comparison between the analytical and experimental results under base excitation also shows that the mechanical model used for the four-parameter isolator is accuracy enough. The present results may provide a useful theoretical basis for the design of the four-parameter isolator in engineering practice.

中文翻译：

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具有几何非线性的四参数隔振器的位移传递率

本研究涉及使用设计为剪状结构的四参数隔振器进行结构减振，该隔振器可在变形过程中引起几何非线性。彻底研究了隔振器在基础激励下的位移传递性，包括几何非线性。首先，给出了四参数隔离器的动态模型。然后，利用谐波平衡法（HBM），推导出所提出的隔振器的惯性质量和辅助弹簧的稳态解。通过与直接数值积分法得到的解析解进行比较，验证了解析解。此外，还提出并研究了非线性隔离系统的固有频率。而且，从相对位移传递率和绝对位移传递率两个方面对四参数隔振器的隔振性能进行了评估，并与线性齐纳模型进行了比较，从而清楚地体现了本隔振器的优势。还分析了各种设计参数对隔振器位移传递率的影响。最后，进一步比较基础激励下的解析和实验结果也表明，用于四参数隔振器的力学模型是足够准确的。本研究结果可为工程实践中四参数隔振器的设计提供有益的理论依据。从而清楚地揭示了本隔离器的优点。还分析了各种设计参数对隔振器位移传递率的影响。最后，进一步比较基础激励下的解析和实验结果也表明，用于四参数隔振器的力学模型是足够准确的。本研究结果可为工程实践中四参数隔振器的设计提供有益的理论依据。从而清楚地揭示了本隔离器的优点。还分析了各种设计参数对隔振器位移传递率的影响。最后，进一步比较基础激励下的解析和实验结果也表明，用于四参数隔振器的力学模型是足够准确的。本研究结果可为工程实践中四参数隔振器的设计提供有益的理论依据。进一步比较基础激励下的解析结果和实验结果也表明，用于四参数隔振器的力学模型已经足够准确。本研究结果可为工程实践中四参数隔振器的设计提供有益的理论依据。进一步比较基础激励下的解析结果和实验结果也表明，用于四参数隔振器的力学模型已经足够准确。本研究结果可为工程实践中四参数隔振器的设计提供有益的理论依据。