含接地阻尼的分段刚度NES减振性能研究

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (6) : 47-57.

振动理论与交叉研究

含接地阻尼的分段刚度NES减振性能研究

杨子健1，王军*1,2，张建超2，温少芳2

作者信息 +

Vibration suppression of a piecewise stiffness nonlinear energy sink system with grounded damping

YANG Zijian1，WANG Jun*1,2，ZHANG Jianchao2，WEN Shaofang2

Author information +

文章历史 +

摘要

非线性能量阱系统主要通过阻尼元件耗散能量，改变阻尼元件的位置也会改变非线性能量阱系统的性能。该研究将接地阻尼引入分段刚度非线性能量阱，提出一种含接地阻尼的分段刚度非线性能量阱，并对其动力学特性展开研究。首先，基于复变量平均法和多尺度法推导了1：1共振下系统的慢变方程。其次，分析了不同参数对系统慢不变流形的影响，在此基础上，通过分析慢不变流形的拓扑形状，判断系统是否发生强调制响应。最后，研究了不同脉冲激励与简谐激励下，接地阻尼处于不同位置对系统减振性能的影响并和无接地阻尼的情况进行对比，同时用星鸦优化算法对系统参数进行优化。结果表明，在分段刚度非线性能量阱中引入接地阻尼可以有效改善系统的减振性能，将阻尼附加在主系统上并接地的吸振器适用于对减振效果要求较高但对耗散时间要求较低的场合，将阻尼附加在附加质量上并接地的吸振器适用于需要快速将主系统能量耗散至较低能级的场合。

Abstract

Nonlinear energy sink (NES) systems primarily dissipate energy through damping elements, and altering the location of the damping components significantly influences the performance of the systems. In this study, a novel piecewise stiffness NES with grounded damping is proposed, and the dynamic characteristics of the system are systematically investigated. Firstly, based on the complexification-averaging method and the method of multiple scales, the slow-flow equations of the system under 1:1 resonance are derived. Secondly, the effects of different parameters on the system's slow invariant manifold were analyzed. Subsequently, the occurrence of strongly modulated response (SMR) was determined by analyzing the topology of the slow invariant manifold. Finally, the effects of different positions of the grounded damping on the vibration suppression performance of the system under various pulse and harmonic excitations were studied, and comparisons were made with the case of no grounded damping. Additionally, the system parameters are optimized by the nutcracker optimization algorithm. The results indicate that introducing grounded damping into the piecewise stiffness NES can effectively improve the system's vibration suppression performance. The damper attached to the primary system and grounded is suitable for cases requiring high vibration reduction but lower demands on dissipation time, while the damper attached to the additional mass and grounded is suitable for scenarios where rapid dissipation of the primary system's energy to a lower level is required.

导出引用

杨子健1, 王军1, 2, 张建超2, 温少芳2. 含接地阻尼的分段刚度NES减振性能研究[J]. 振动与冲击, 2025, 44(6): 47-57

YANG Zijian1, WANG Jun1, 2, ZHANG Jianchao2, WEN Shaofang2. Vibration suppression of a piecewise stiffness nonlinear energy sink system with grounded damping[J]. Journal of Vibration and Shock, 2025, 44(6): 47-57

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