一种斜盘式惯容器的特性与隔振性能研究

Characteristics and vibration isolation performance of a swash-plate inerter

  • 摘要: 提出了一种新型斜盘式惯容器,由斜盘、曲轴、行星齿轮系、支撑盘和飞轮等部件组成,通过曲轴迫使斜盘转动实现惯容效应。建立了斜盘式惯容器的力学模型,分析了最大位移和斜盘倾角等结构参数对惯容器性能的影响;利用谐波平衡法求解斜盘式惯容单自由度隔振系统的动态响应,分析了惯质比、阻尼比两个系统参数对位移传递率的影响,与线性惯容系统进行了对比;最后研究了系统在真实振动中的表现。研究结果表明:斜盘式惯容器具有和输入位移相关的非线性特性,惯质随位移增大而增大,所得系统动态响应的解析解与数值解基本一致,加入斜盘式惯容器的隔振系统峰值位移和共振频率更小;地震激励仿真结果表明斜盘式惯容器适用于振动频率相对固定、振动频带跨度不大的场合。

     

    Abstract: Proposed a novel Swash-Plate inerter, composed of a swash plate, crankshaft, planetary gear train, support disc, and flywheel. Achieved the inerter effect by forcing the swash plate to rotate via the crankshaft. Established the mechanical model of the swash-plate inerter, and analyzed the influence of structural parameters such as maximum displacement and swash plate inclination angle on its performance. Solved the dynamic response of a single-degree-of-freedom vibration isolation system incorporating the Swash-Plate inerter by the harmonic balance method. Investigated the effects of system parameters, including the inerter-mass ratio and damping ratio, on displacement transmissibility and compared with those of a linear inerter system. Examined the system’s performance under real-world vibrations. The results demonstrate that the Swash-Plate inerter exhibits nonlinear characteristics dependent on input displacement, with greater inertance under stronger vibrations. The analytical solutions for the system’s dynamic response align closely with numerical simulations. The vibration isolation system integrated with the Swash-Plate inerter exhibits reduced peak displacement and lower resonance frequency. Seismic excitation simulations further reveal that the proposed inerter is particularly suitable for scenarios with relatively fixed vibration frequencies and narrow frequency bandwidths.

     

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