Dynamics of a hybrid vibro-impact nonlinear energy sink,ZAMM - Journal of Applied Mathematics and Mechanics

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Dynamics of a hybrid vibro-impact nonlinear energy sink
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2019-07-29 , DOI: 10.1002/zamm.201800341
M. Farid ₁ , O. V. Gendelman ₁ , V. I. Babitsky ₂

Affiliation

Nonlinear energy sink (NES) is widely studied as a solution for energy harvesting and vibration mitigation problems under periodic, impulsive and stochastic excitations. Current work treats the dynamics of hybrid vibro-impact NES (HVI-NES) attached to a linear primary structure as a passive energy absorber (PES). Due to being a hybridization between the traditional tuned mass damper (TMD) and vibro-impact NES (VI-NES), the HVI-NES exhibits improved energy absorption performance under impulsive excitation in terms of broader energy range. The system parameters are tuned a priori, so for small energies, the HVI-NES acts like the TMD, and for high energies, it acts as a VI-NES. Hence, relatively large energy range is covered. This feature, along with the absence of any nonlinear spring and simplicity of the design, makes this system attractive for possible energy harvesting applications. The NES exhibits rich dynamics, consisting of sustained linear oscillations, sustained impacts of various frequencies, and alternating transition between both regimes. The slow flow dynamics of the nonlinear regimes is described analytically using an approximated relation between the HVI-NES energy and frequency, and with the help of the concept of slow invariant manifold (SIM). The analytical results are supported by numerical verifications.

中文翻译：

混合振动冲击非线性能量汇的动力学

非线性能量汇 (NES) 被广泛研究作为解决周期性、脉冲和随机激励下的能量收集和振动缓解问题的解决方案。当前的工作将连接到线性主要结构的混合振动冲击 NES (HVI-NES) 的动力学视为被动能量吸收器 (PES)。由于是传统调谐质量阻尼器 (TMD) 和振动冲击 NES (VI-NES) 的混合体，HVI-NES 在更宽的能量范围方面表现出在脉冲激发下的能量吸收性能得到改善。系统参数是先验调整的，因此对于小能量，HVI-NES 的作用类似于 TMD，而对于高能量，它充当 VI-NES。因此，覆盖了相对较大的能量范围。这一特点，加上没有任何非线性弹簧和设计的简单性，使该系统对可能的能量收集应用具有吸引力。NES 表现出丰富的动态，包括持续的线性振荡、各种频率的持续影响以及两种状态之间的交替过渡。使用 HVI-NES 能量和频率之间的近似关系，并借助慢不变流形 (SIM) 的概念，分析地描述了非线性状态的慢流动力学。数值验证支持分析结果。使用 HVI-NES 能量和频率之间的近似关系，并借助慢不变流形 (SIM) 的概念，分析地描述了非线性状态的慢流动力学。数值验证支持分析结果。使用 HVI-NES 能量和频率之间的近似关系，并借助慢不变流形 (SIM) 的概念，分析地描述了非线性状态的慢流动力学。数值验证支持分析结果。

更新日期：2019-07-29

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