Energy analysis and optimization of inerter-based systems

Abstract

This article introduces the basic principles of four kinds of inerters applied for structural vibration control including a traditional inertial mass damper and ideal clutch inerter damper. The clutch inerter damper with all damping (clutch inerter damper_all damped) and clutch inerter damper with partial damping (clutch inerter damper_part damped) are distinguished in detail. First, a series of energy indexes are defined for further analysis. Second, the control effect of displacement for the uncontrolled structure and the four inerter-based single-degree-of-freedom systems are compared. Finally, considering the total input energy (E1) and the invalid damping energy (ECID_ric) as the effective indexes, combined with a large number of numerical simulation results, the variation rules of the two energy indexes with respect to two key parameters (inertia mass ratio and additional damping) are summarized, and the optimal parameters are proposed. The effectiveness of the optimal value is verified by displacement comparison.