冲击载荷下分段线性刚度能量阱的优化研究

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摘要

分段线性刚度能量阱是非线性能量阱的一种，属于被动减振装置，它可以通过能量定向转移现象快速耗散主结构的振动能量。对冲击载荷下分段线性刚度能量阱能量耗散效率进行了优化研究，通过复变平均法推导了耦合分段线性刚度能量阱的二自由度系统在冲击载荷下的慢变方程，使用多项式近似的方法得到了慢不变流形不稳定点的近似表达式，以此建了以能量阱能量耗散效率为目标的优化模型，并对该模型的有效性进行了实验验证。结果表明，该研究优化模型建立较为合理，实验结果证明了优化参数的有效性，分段线性刚度能量阱有效提升了系统的能量耗散速率。

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	崔泰毓1
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	张雷1
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	贾学志3
	魏磊3

关键词 ：非线性振动, 非线性能量阱, 冲击载荷, 分段线性刚度

Abstract：Piecewise linear stiffness energy sinks are a kind of nonlinear energy sinks.Being a passive damping device, it can dissipate the vibration energy of the main structure quickly by virtue of the phenomenon of target energy transfer.The energy dissipation efficiency of a segmented linear stiffness energy well under impact load was optimized.The slow-change equation of the two-degree of freedom model of the coupled-segment linear-stiffness energy well under impact load was derived by means of complex-averaging method.The approximate expression of the extreme point of slow invariant manifold was obtained by use of polynomial approximation.On this basis, an optimization model with the goal of energy dissipation efficiency of energy sinks was established.In the end, the validity of the model was verified.It’s shown that the optimization model is reasonable, the experimental results show the effectiveness of the optimization parameters, and the energy well with piecewise linear stiffness effectively improves the energy dissipation rate of the system.

Key words： nonlinear vibration nonlinear energy sinks impact load piecewise linear stiffness

收稿日期: 2019-11-20 出版日期: 2021-05-28

引用本文:

崔泰毓1,2，张雷1,3，贾学志3，魏磊3. 冲击载荷下分段线性刚度能量阱的优化研究[J]. 振动与冲击, 2021, 40(10): 253-260.
CUI Taiyu1, 2, ZHANG Lei1,3, JIA Xuezhi3, WEI Lei3. Mechanical properties of piecewise linear stiffness energy sinks under impact load and its optimization. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(10): 253-260.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I10/253

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