This article presents the results of the study of a novel inerter-based vibration absorber with an amplified inertance mechanism and grounded stiffness, to control excessive vibrational movements of an excited primary structure. The inerter vibration absorber used in this study acts as a passive tuned inerter damper. An undamped primary structure model with a single degree of freedom controlled by the proposed inerter vibration absorber is developed and used to derive the equations of motion of the coupled system. The optimum frequency ratio and the optimum damping ratio of inerter vibration absorber are found using the fixed point theory for harmonic force-excited primary structures. Then, the optimum grounded stiffness ratio is deduced. Based on the inclusion of an amplified inertance mechanism, it is found that for given inertance mass ratio, the change in the amplification ratio results in three cases for the optimum grounded stiffness ratio, that is, negative, zero, and positive. From these three cases of grounded stiffness, the inerter vibration absorber with positive grounded stiffness has demonstrated the best control performance. Under optimum parameters, the results indicate that the inerter vibration absorber in this article outperforms some existing inerter vibration absorbers under the harmonic excitation, in terms of decreases in the peak vibration response of the primary system and widens the suppression bandwidth. Finally, the further comparison among the inerter vibration absorber under random (white noise) excitation also shows that the model in this article is superior to other inerter vibration absorbers in terms of smallest mean square response and smallest variance of the time history of the primary system.

本文介绍了一种新型的基于惯性的减振器的研究结果，该减振器具有放大的惯性机制和刚度，以控制受激初级结构的过度振动。本研究中使用的惰性减振器用作被动调谐的惰性减振器。提出了一种由拟议的惯性减振器控制的具有单自由度的无阻尼初级结构模型，并将其用于导出耦合系统的运动方程。利用定点理论对谐波力激励的一次结构求出了惯性减振器的最佳频率比和最佳阻尼比。然后，推导最佳接地刚度比。基于增加的惯性机理，发现对于给定的惯性质量比，对于最佳接地刚度比，放大率的变化导致三种情况，即负，零和正。从这三种接地刚度情况来看，具有刚性接地刚度的惯性减振器表现出最佳的控制性能。在最佳参数下，结果表明，在降低一次系统的峰值振动响应并扩大抑制带宽方面，本文的惯性减振器在谐波激励下的性能优于某些现有的惯性减振器。最后，