Investigation of a novel magnetic inerter-based absorber under shock load

Abstract

Inerter-based absorbers have proven exceptionally effective in dampening vibrations within a specific low-frequency range, thus finding widespread application in engineering. However, their performance under shock loads poses a more intricate challenge, demanding the development of structures that can encompass a broader spectrum of vibration reduction frequencies. This paper introduces the magnetic inerter shock absorber (MISA), a groundbreaking approach that addresses this challenge. The cornerstone of the MISA lies in the ingenious linkage of its additional mass to the base. This design minimizes the influence on the payload while achieving an astounding amplification factor of thousands. Once integrated into a single-degree-of-freedom system, comprehensive nonlinear motion differential equations are formulated to capture the dynamics triggered by shock loads. Utilizing Fourier analysis, the shock loads are decomposed, and the harmonic balance method is employed to obtain the analytical structure of the system. Following this, numerical solutions are derived via the shock alternating frequency time method, providing insight into the ultimate dynamic response. The results demonstrate that the MISA swiftly suppresses residual vibrations while attenuating transient responses. Finally, an experimental verification confirms the MISA’s ability to reduce shock vibrations. This work not only introduces a novel solution for mitigating the shocks of transient vibrations and residual oscillations induced by shock loads, but also provides guidance for implementing advanced vibration control by adjusting the rotational damping ratio.