Parameters optimization and performance evaluation for the novel inerter-based dynamic vibration absorbers with negative stiffness

In order to enhance the performance of dynamic vibration absorber (DVA), inerter-based DVA and DVA with negative stiffness have received considerable attention in structural vibration reduction. However, the characteristic of DVA which includes inerter and negative stiffness concurrently remains unclear. In this paper, four kinds of novel inerter-based dynamic vibration absorber with negative stiffness (IN-DVAs) are proposed and analytically researched in detail. The closed-form optimal parameters of four kinds of IN-DVAs are obtained based on the classical fixed-points theory. Analysis of the optimal parameters of the IN-DVAs demonstrates that the coupling relationships between inerter and negative stiffness are distinct for various structural forms of the IN-DVAs. The comparison of the performances of IN-DVAs with those of the existing DVAs shows that IN-DVAs have superior performance. Besides, the effective frequency bandwidth is wider than those of the existing DVAs. Moreover, the results also exhibit that RIN (one of the IN-DVAs in this paper) performs the best under harmonic and random excitations.