Stiffness Optimization of Nonlinear Energy Sink and Shaking Table Test

Liu Zhongpo 1, LU Xilin 2, Wang Dong 2, WU Jianzhong1

Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (20) : 77-84.

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PDF(1873 KB)
Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (20) : 77-84.

Stiffness Optimization of Nonlinear Energy Sink and Shaking Table Test

  •  Liu Zhongpo 1, LU Xilin 2, Wang Dong 2, WU Jianzhong1
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Abstract

Nonlinear energy sink is proposed and its main feature that mitigating vibrations in broad frequency range is explored in this paper. First, the expressions of backbone branch S11± that represent 1:1 internal resonance is derived through use of analytical method. According to the expressions, the frequency-energy plot is got. The vibration frequency of the NES that attached to the linear oscillator and the energy levels in the linear oscillator has a direct relationship which is clearly illustrated in the frequency-energy plot. Then, the formulas that define the relationship between the stiffness of NES and the energy of MDOF linear oscillators are derived in modal space. So, the optimal solution of NES stiffness can be calculated with regard to the energy level of the target to be controlled. Based on the optimal computations of experimental target, the shaking table experiments that investigate the performance of NES vibration mitigation are designed and conducted. To validate the wide frequency vibration controlling attributes of NES, a set of springs with different stiffness are employed and dynamic properties of the experimental frame are modified in the tests. Experimental results demonstrate that NES has broad frequency band vibration controlling feature, it still works well even its stiffness deviate from the optimal value or there are some difference between the real and designing dynamic parameters of the experimental target.
 

Key words

NES / vibration control / shaking table experiment / nonlinear vibration

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Liu Zhongpo 1, LU Xilin 2, Wang Dong 2, WU Jianzhong1 . Stiffness Optimization of Nonlinear Energy Sink and Shaking Table Test[J]. Journal of Vibration and Shock, 2016, 35(20): 77-84

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