Dynamics and vibration reduction performance of a cross-type motion amplified nonlinear energy sink

Abstract

Suppressing micro-amplitude vibrations is a critical issue in aerospace engineering. While nonlinear energy sinks (NES) are effective for passive vibration damping, their performance diminishes for micro-amplitude vibrations. This paper introduces a motion-amplified NES (MANES) to address this challenge. The system’s governing equations are derived using Hamilton’s principle, and an approximate analytical solution is validated by numerical methods. The effects of various parameters are explored, with higher vibration reduction efficiency achievable through parameter adjustments. Compared to cubic NES, MANES shows superior vibration suppression and a broader reduction bandwidth for micro-amplitude excitations. Additionally, MANES enters the effective vibration reduction range at lower excitation levels, indicating a reduced threshold for vibration suppression. This study provides insight into the vibration suppression mechanism of MANES, offering a theoretical foundation for mitigating micro-amplitude vibrations in engineering applications.