多尺度串联非线性能量阱的减振效能及阻尼连接方式研究

陈建恩,张维兴,刘军,葛为民

振动与冲击 ›› 2022, Vol. 41 ›› Issue (10) : 147-153.

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振动与冲击 ›› 2022, Vol. 41 ›› Issue (10) : 147-153.
论文

多尺度串联非线性能量阱的减振效能及阻尼连接方式研究

  • 陈建恩,张维兴,刘军,葛为民
作者信息 +

Vibration reduction efficiency and damping connection type of multi-scale series nonlinear energy sinks

  • CHEN Jian’en,ZHANG Weixing,LIU Jun,GE Weimin
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文章历史 +

摘要

研究了具有递减参数的串联非线性能量阱(Nonlinear Energy Sink, NES)在冲击和扫频激励下的减振效能,分析了阻尼接地方式对减振效能的影响,并将其与单自由度NES进行了对比。推导出系统的无量纲动力学方程并利用数值方法进行分析,研究了两种串联NES中的各级纯立方振子在能量耗散中作用及其差异。研究结果显示,当激励幅值较低时,阻尼不接地型NES的减振效能要强于阻尼接地型NES,而随着激励幅值的持续增加,在较宽的激励幅值变化范围内衡量减振效能时,阻尼接地型串联NES具有非常明显的优势。此外,各级纯立方振子在能量耗散中发挥的作用随激励幅值的增加而变化,当激励幅值增大到一定程度后,质量最小的第三级振子消耗的能量最多。

Abstract

The vibration reduction efficiencies of series nonlinear energy sinks with decreasing parameters under impact and sweep excitations are studied, and the effect of damping grounded type on the vibration reduction efficiency is analyzed. The efficiencies of the series NESs are compared with those of the single-degree-of-freedom NESs. The non-dimensional dynamic equations of the systems are derived and the effects of each purely cubic oscillator in the two series NESs on the energy dissipation are analyzed by numerical method. The results show that, when the excitation amplitude is relatively low, the NESs with ungrounded damping are more effective than the NESs with grounded damping, and the grounded series NES has a significant advantage when the system is imposed in a wide range of excitation amplitude. In addition, the energy dissipation of each purely cubic oscillator varies with the increase of the excitation amplitudes, and the lightest third oscillator dissipates the most energy.

关键词

非线性能量阱 / 振动控制 / 冲击 / 扫频激励 / 阻尼接地

Key words

Nonlinear energy sink / vibration control / impact / sweep excitation / grounded damping

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陈建恩,张维兴,刘军,葛为民. 多尺度串联非线性能量阱的减振效能及阻尼连接方式研究[J]. 振动与冲击, 2022, 41(10): 147-153
CHEN Jian’en,ZHANG Weixing,LIU Jun,GE Weimin. Vibration reduction efficiency and damping connection type of multi-scale series nonlinear energy sinks[J]. Journal of Vibration and Shock, 2022, 41(10): 147-153

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