多向非线性能量汇设计与减振研究

毛晓晔, 方天成, 丁虎

振动与冲击 ›› 2025, Vol. 44 ›› Issue (9) : 1-9.

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PDF(2875 KB)
振动与冲击 ›› 2025, Vol. 44 ›› Issue (9) : 1-9.
振动理论与交叉研究

多向非线性能量汇设计与减振研究

  • 毛晓晔*,方天成,丁虎
作者信息 +

Design and vibration reduction of multi-directional nonlinear energy sink

  • MAO Xiaoye*, FANG Tiancheng, DING Hu
Author information +
文章历史 +

摘要

非线性能量汇(nonlinear energy sink,NES)在被动控制中有着广阔的应用前景,然而这一领域的研究主要集中在单向吸振器上,这限制了其在实际应用中对多向振动的适用性。设计了一种多向NES,利用相互正交的两组钢丝绳结构,实现了单振子空间任意方向自适应吸振。基于拉格朗日方程建立了系统多向振动控制方程,采用了谐波平衡法对稳态响应进行近似解析分析,并利用四阶龙格-库塔法进行数值验证,其后研究了多向NES的减振效果。结果表明,多向单振子NES能够有效地抑制多向振动,对任意单向激励也同样有效。该研究为NES在多向振动控制中的应用及设计提供了参考。

Abstract

Nonlinear energy sink (NES) has broad application prospects in passive control.However, studies in this filed mainly focus on unidirectional vibration absorbers to limit its applicability to multi-directional vibrations in practical applications.Here, a multi-directional NES was designed using 2 sets of mutually orthogonal steel wire structures to realize adaptive vibration absorption in any direction of a single vibrator space.Multi-directional vibration governing equations of the system were established based on Lagrange equation, and the harmonic balance method was used for approximate analytical analysis of the system’s steady-state response.The fourth-order Runge-Kutta method was used for numerical verification, and then the vibration reduction effect of the multi-directional NES was studied.The results showed that the multi-directional single vibrator NES can effectively suppress multi-directional vibrations and it is equally effective for any unidirectional excitation. This study can provide a reference for application and design of NES in multi-directional vibration control.

关键词

非线性能量汇(NES) / 被动控制 / 谐波平衡法 / 多向振动控制

Key words

nonlinear energy sink (NES) / passive control / harmonic balance method / multi-directional vibration control

引用本文

导出引用
毛晓晔, 方天成, 丁虎. 多向非线性能量汇设计与减振研究[J]. 振动与冲击, 2025, 44(9): 1-9
MAO Xiaoye, FANG Tiancheng, DING Hu. Design and vibration reduction of multi-directional nonlinear energy sink[J]. Journal of Vibration and Shock, 2025, 44(9): 1-9

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