Dynamic analysis of single-sided vibro-impact nonlinear energy sinks via forced response curves and application to vibration mitigation

IF 4.3 2区 工程技术 Q1 ACOUSTICS
Zelong Lin , Haiqin Li , Ang Li , Zhiyong Zhang , Xianren Kong , Qian Ding
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引用次数: 0

Abstract

The frequency response mechanisms of the single-sided vibro-impact nonlinear energy sink (SSVI-NES) are comprehensively investigated focusing on the application of passive vibration control. Nonlinear energy sink (NES) refers to a broadband vibration damping technique that was developed based on the targeted energy transfer (TET) of nonlinear systems. The SSVI-NES, which achieves the TET by means of asymmetric single-sided vibro-impacts, can offer improved TET with a faster time scale and enhanced robustness with respect to forcing conditions when compared to other types of NESs that are constructed with smooth nonlinearities. However, the resonance mechanisms and frequency response characteristics of such SSVI-NES, despite special significance in vibration damping analysis, remain an open question due to the difficulties associated with non-smooth terms. In this paper, for the first time, by proposing an alternative frequency–time harmonic balance technique into the Hunt and Crossley vibro-impact model, the forced response curves (FRCs) of such SSVI-NES is calculated, allowing one to uncover the dynamical mechanism of the SSVI-NES and its vibration-damping performance with physical in-depth. Thanks to the FRCs, the resonance mechanisms as well as the bifurcation conditions of the SSVI-NES are then comprehensively investigated with a specific focus paid to the parametric evaluation effects of the forcing amplitude, the stiffness, and the impact loss, revealing the rich response regimes of the SSVI-NES.As a result, a set of easy-to-use design criteria for SSVI-NES is finally obtained to realize vibration suppression over a wider range of forcing amplitudes and frequencies for subsequent generalization to complex structures.
单面振动冲击非线性能量阱的强迫响应曲线动力学分析及减振应用
对单面振动冲击非线性能量池的频率响应机理进行了全面研究,重点研究了被动振动控制的应用。非线性能量汇(NES)是一种基于非线性系统目标能量传递(TET)而发展起来的宽带减振技术。SSVI-NES通过不对称单侧振动冲击实现TET,与其他类型的平滑非线性构造的NESs相比,它可以提供改进的TET,具有更快的时间尺度和增强的对强迫条件的鲁棒性。然而,这种SSVI-NES的共振机制和频率响应特性,尽管在振动阻尼分析中具有特殊意义,但由于非光滑项相关的困难,仍然是一个悬而未决的问题。本文首次在Hunt和Crossley振动冲击模型中引入频率-时间谐波平衡替代技术,计算了SSVI-NES的强迫响应曲线(FRCs),从而从物理层面深入揭示了SSVI-NES的动力机理及其减振性能。基于FRCs,对SSVI-NES的共振机制和分岔条件进行了全面研究,重点研究了强迫幅值、刚度和冲击损失的参数评价效果,揭示了SSVI-NES丰富的响应机制。最终获得了一套易于使用的SSVI-NES设计准则,实现了在更大的强迫幅值和频率范围内的振动抑制,以便后续推广到复杂结构。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Sound and Vibration
Journal of Sound and Vibration 工程技术-工程:机械
CiteScore
9.10
自引率
10.60%
发文量
551
审稿时长
69 days
期刊介绍: The Journal of Sound and Vibration (JSV) is an independent journal devoted to the prompt publication of original papers, both theoretical and experimental, that provide new information on any aspect of sound or vibration. There is an emphasis on fundamental work that has potential for practical application. JSV was founded and operates on the premise that the subject of sound and vibration requires a journal that publishes papers of a high technical standard across the various subdisciplines, thus facilitating awareness of techniques and discoveries in one area that may be applicable in others.
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