圆环非线性隔振设计和动力学研究

Nonlinear vibration isolation design and dynamic study of circular ring

  • 摘要: 根据特定形状弹性结构力?形变的非线性关系实现准零刚度隔振是一种更为直接的方法。利用弹性圆环弯曲变形来获得准零刚度,与此同时,通过添加水平弹簧和水平阻尼,引入非线性刚度和非线性阻尼。建立隔振系统动力学模型,运用直接运动分离法,给出了设计的频率响应和位移传递率的表达式,并对解析结果进行了数值验证,讨论了水平刚度和水平阻尼对位移传递率的影响。结果表明,优化水平弹簧刚度可以使隔振频率带宽扩大,而优化水平阻尼可以同时实现共振抑制和高频隔振。

     

    Abstract: Nonlinear relation between force and deformation via specific shape ring is a shortcut way for implementation of quasi-zero stiffness vibration isolation. In this paper,buckling deformation of the circular ring is adopted to achieve the quasi-zero stiffness.The novelty of the design is introduction of horizontal stiffness and horizontal damping. The expressions for frequency response and displacement transmissibility of the circular ring design are given based on the method of direct separation of motion,the numerical validation of the analytical results is also carried out. The developed vibration isolation approach is successfully implemented to change the path of vibration transmission in order to attenuate the transmitted motion. The results show that the horizontal stiffness could extend the isolation range to lower frequencies,and horizontal damping could reduce the resonance response. The developed circular ring beam vibration isolator reduces the transmissibility around the resonance frequency,and performs better at higher frequencies.

     

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