Vibration Suppression and Energy Harvesting Performance of Integrated Quasi-Zero-Stiffness Absorber Systems Via Parametric Regulation

Abstract Addressing synergistic low-frequency vibration isolation and energy harvesting needs in precision equipment, a coupled quasi-zero-stiffness dynamic vibration absorber system with integrated piezoelectric energy harvesting is proposed. Two configurations are established: a linear primary system with a quasi-zero-stiffness absorber (LP-QZS) and a two-stage quasi-zero-stiffness system (TQZS). Nonlinear dynamic models are developed, and approximate analytical solutions under harmonic excitation are derived via the harmonic balance method, validated by the Runge–Kutta simulations. Both systems significantly enhance low-frequency vibration isolation: TQZS reduces the primary amplitude below a QZS-primary-linear-absorber system. Piezoelectric harvesters generate substantial voltage outputs in specific frequency bands, confirming vibration-to-electric energy conversion. Parametric analysis reveals that increasing mass ratio μ simultaneously reduces the primary system amplitude and increases both the peak value and operational bandwidth of the harvested voltage in both configurations. However, the effect of damping is fundamentally different between the two configurations: In the LP-QZS system, higher damping enhances vibration suppression despite impairing energy harvesting; while in the TQZS system, it increases the primary system's amplitude and severely diminishes the harvesting output and bandwidth. In contrast, small variations in the stiffness ratio exert a negligible influence on both vibration isolation and energy harvesting performance for both systems. The parametric tuning laws elucidated in this work lay a theoretical foundation for the design of advanced integrated equipment capable of simultaneous vibration control and energy harvesting.