Abstract:

To enhance the broadband vibration attenuation capability of conventional dynamic vibration absorbers (DVAs), this study presents a grounded inerter-damper quasi-zero-stiffness DVA (GID-QZS-DVA), and conducts a comprehensive analysis on the system dynamic behaviors. A dynamic model of the system is established, and the slowly-varying amplitude harmonic balance method (SVAHBM) is employed to derive the amplitude-frequency (AF) response and stability conditions. The effects of key parameters on the saddle-node (SN) bifurcation boundary and local periodic-solution instability boundary are clarified, and the dynamic transition process of the system toward chaos is analyzed. The results demonstrate that the proposed absorber effectively suppresses the primary system resonance peak, reduces the unstable region, and mitigates the nonlinear phenomena. The parameter optimization based on the particle swarm optimization (PSO) algorithm further enhances its performance. Compared with traditional absorbers and other inerter-based counterparts, the optimized GID-QZS-DVA demonstrates a desirable vibration reduction capability under harmonic excitation, with competitive performance in resonance peak reduction and suppression bandwidth extension.

Key words: grounded inerter-damper (GID), quasi-zero-stiffness (QZS), dynamic vibration absorber (DVA), bifurcation analysis, chaos