Analysis of the vertical isolation with inerter and clutching inerter damper considering the rocking effect

Considering the rocking effect of the structure, this paper applies the inerter and the clutching inerter damper (CID) in the vertical base isolation to control the structural responses. Based on a single block of 3-degree-of-freedom model including the rocking dimension, the study compares the inerter and CID with the conventional isolation system regarding the modal characteristics, transfer functions and H
₂
norm theoretically and numerically. Numerical results show that the inerter and CID can reduce the demand of low vertical stiffness and mitigate the vertical displacement as well as acceleration effectively. Furthermore, the inerter and CID show a better control effect regarding the structural rocking effect, which leads to a more balanced responses between the upper and the lower part of the structure.