一种具有几何非线性的斜置式惯容隔振器动态特性研究

Dynamic characteristics of an inclined inerter-based vibration isolator with geometric nonlinearity

提出一种具有几何非线性的斜置式惯容隔振器,表现在惯容器在承载质量运动方向上的力是非线性的以及动力学方程中的加速度项是非线性的,采用谐波平衡法求得系统的动力学响应,并与数值解进行对比。用动态位移峰值,传递率峰值和隔振频带来评价斜置式惯容隔振器的隔振性能,并与线性隔振器进行对比分析。研究表明当激励力幅值较小时,与线性隔振器相比,斜置式惯容隔振器的力传递率峰值较小,隔振频带较宽,而动态位移峰值较大。

Here,an inclined inerter-based vibration isolator with geometric nonlinearity was proposed. It was shown that the force of the inerter in moving direction of its bearing mass is nonlinear and the acceleration term in the system’s dynamic equation is also nonlinear. The system’s dynamic response was obtained using the harmonic balance method and then compared with the numerical solution. The vibration isolation performance of the inclined inerter-based vibration isolator was evaluated with peak dynamic displacement,peak transmissibility and vibration isolation frequency band. It was compared with the vibration isolation performance of an equivalent linear vibration isolator. The results showed that when the excitation force amplitude is smaller,compared with the linear vibration isolator,the inclined inerter-based vibration isolator has a smaller force peak transmissibility,a wider vibration isolation frequency band,and a larger peak dynamic displacement.