In this paper, an analysis is given about dynamic characteristics for a quasi-zero-stiffness isolator coupled with mechanical disturbance from a view of engineering application. In addition to traditional Columbo friction and linear damping in the vertical direction, the influence of other disturbing parameters such as geometrically nonlinear damping, friction and inertia of rods is also taken into consideration. The dynamic equation is formulated with parameters above to give an investigation of static characteristics, respectively, based on Newton’s second law and D’Alembert’s principle. Moreover, the frequency–amplitude response and transmissibility characteristics are obtained for this model subjected to the vibrating base by using average method with the introduction of piecewise function and then analyze the effect on the vibration response and isolation caused by disturbance. Furthermore, the passive vibration isolation simulation is conducted to verify the theorem. Therefore, it is recommended that the geometrically nonlinear damping can be introduced to the quasi-zero-stiffness system appropriately which can decrease the peak value of transmissibility in the low-frequency range, and nearly has no effect on the high-frequency region. And the mass of the rod should not be bigger than \(10^{-3}\) times of the isolator. The conclusions can provide engineering guidance for design and application about quasi-zero-stiffness system.

本文从工程应用的角度对准零刚度隔离器的机械特性进行了分析。除了传统的Columbo摩擦和垂直方向的线性阻尼外，还考虑了其​​他干扰参数的影响，例如几何非线性阻尼，杆的摩擦和惯性。基于牛顿第二定律和D'Alembert原理，分别用上述参数制定动力学方程，以研究静态特性。此外，通过引入分段函数，采用平均法，求出了该模型在振动基础上的频率-振幅响应和传递特性，然后分析了扰动对振动响应和隔振的影响。此外，进行了被动隔振仿真以验证定理。因此，建议将几何非线性阻尼适当地引入准零刚度系统，这样可以减小低频范围内的透射率峰值，而对高频区域几乎没有影响。杆的质量不应大于 建议将几何非线性阻尼适当地引入准零刚度系统中，这样可以降低低频范围内的透射率峰值，而对高频区域几乎没有影响。杆的质量不应大于 建议将几何非线性阻尼适当地引入准零刚度系统中，这样可以降低低频范围内的透射率峰值，而对高频区域几乎没有影响。杆的质量不应大于隔离器的\（10 ^ {-3} \）倍。结论可为准零刚度系统的设计和应用提供工程指导。