Parameters optimization of grounded dynamic vibration absorber with pendulum connected via the lever mechanism.

This article focuses on the control performance and optimal parameter design of a novel grounded dynamic vibration absorber (DVA) featuring a pendulum connected via a lever mechanism with a ground fulcrum. Using extended fixed point theory, the study derives optimal tuning frequency ratio, damping ratio, and equivalent stiffness ratio, establishing a working range for the amplified mass ratio to ensure system stability and positive equivalent stiffness. Analytical and numerical results demonstrate that increasing the amplified mass ratio within this range significantly reduces the primary system's vibration amplitude and broadens the effective frequency bandwidth. Comparative analysis with three existing DVA models under harmonic and random excitations shows that the proposed DVA achieves superior vibration suppression performance. These findings offer a new efficient design approach for vibration control engineering applications.