A vertical track nonlinear energy sink

doi:10.1007/s10483-024-3127-6

Abstract

Abstract:

Eliminating the effects of gravity and designing nonlinear energy sinks (NESs) that suppress vibration in the vertical direction is a challenging task with numerous damping requirements. In this paper, the dynamic design of a vertical track nonlinear energy sink (VTNES) with zero linear stiffness in the vertical direction is proposed and realized for the first time. The motion differential equations of the VTNES coupled with a linear oscillator (LO) are established. With the strong nonlinearity considered of the VTNES, the steady-state response of the system is analyzed with the harmonic balance method (HBM), and the accuracy of the HBM is verified numerically. On this basis, the VTNES prototype is manufactured, and its nonlinear stiffness is identified. The damping effect and dynamic characteristics of the VTNES are studied theoretically and experimentally. The results show that the VTNES has better damping effects when strong modulation responses (SMRs) occur. Moreover, even for small-amplitude vibration, the VTNES also has a good vibration suppression effect. To sum up, in order to suppress the vertical vibration, an NES is designed and developed, which can suppress the vertical vibration within certain ranges of the resonance frequency and the vibration intensity.

Key words: track nonlinear energy sink (TNES), vertical direction, gravity, nonlinear stiffness, harmonic balance method (HBM), vibration control

2010 MSC Number:

34A34
74K30

Meng LI, Hu DING. A vertical track nonlinear energy sink. Applied Mathematics and Mechanics (English Edition), 2024, 45(6): 931-946.

TrendMD

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