碟形橡胶准零刚度隔振器的设计和特性分析

Design and Analysis of a Disc Rubber Vibration Isolator with Quasi-zero-stiffness Characteristic

设计了具有准零刚度(QZS)特性的碟形橡胶隔振器,并分析了其隔振特性.隔振器由负刚度元件碟形橡胶(内含钢材料的筋)与正刚度元件竖直橡胶柱并联组装而成.基于Abaqus有限元仿真分析,给出了隔振器在静平衡位置处出现零刚度时,碟形橡胶元件和竖直橡胶元件分别需要满足的构型和尺寸参数条件,得到了隔振器的回复力曲线,并用仅含三次的多项式进行了拟合.进一步,建立隔振系统动力学方程,基于谐波平衡法分析了系统的隔振特性,并与Abaqus动力学仿真分析进行对比,结果表明,碟形橡胶准零系统隔振性能明显优于相应的线性系统.

A disc rubber vibration isolator with quasi-zero stiffness （QZS）was designed,and the char-acteristics of vibration isolation were studied.The QZS isolator was devised by assembling a reinforced disc rubber with negative stiffness in parallel with a vertical rubber cylinder with positive stiffness.By u-sing Finite Element Analysis （FEA）,the geometrical parameters of the reinforced disc rubber and the ver-tical rubber cylinder were achieved to ensure that the isolator＇s stiffness is close to zero at the static equilib-rium position.And then,the characteristics of restoring force were analyzed,and the expression of resto-ring force was given as a polynomial only having cubic item by fitting the FEA simulations data.Moreo-ver,the equation of motion of the vibration isolation system was obtained,and the isolation performance was evaluated theoretically based on Harmonic Balanced method,which was compared with that by using dynamic FEA.The results have shown that the QZS isolator significantly outperforms the corresponding linear one.