Minimization of beam response using inerter-based dynamic vibration absorber with negative stiffness

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (8) : 15-22.

CHEN Jie1，SUN Weiguang2，WU Yangjun1，ZHANG Limin1，HE Xiaolong3

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Abstract

Two new types of passive vibration control structures were proposed, namely the vibration control structure of the dynamic vibration absorber with inerter and negative stiffness, and the transverse vibration of the beam was suppressed.In the case of considering only the first-order modal function, the analytical expressions of the optimal control parameters of the two new dynamic absorbers can be derived using the fixed point theory.On this basis, two kinds of new dynamic absorbers based on inerter and negative stiffness (model 1 and model 2) were compared with the traditional dynamic absorbers under different mass ratios.The numerical results show that the dynamic absorber based on inerter and negative stiffness is more effective than the traditional dynamic absorber in vibration control of beams.For the case of small mass ratio, model 2 has better vibration reduction effect than model 1.However, when the mass ratio or inerter mass ratio is large, the optimum negative stiffness ratio of model 2 is greater than 0, and the optimum parameters of model 2 will not be available.In addition, the effects of mass ratio and inerter mass ratio on the optimal system parameters are briefly discussed.

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vibration control / inerter / negative stiffness / beam / fixed-point theory

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CHEN Jie1，SUN Weiguang2，WU Yangjun1，ZHANG Limin1，HE Xiaolong3. Minimization of beam response using inerter-based dynamic vibration absorber with negative stiffness[J]. Journal of Vibration and Shock, 2020, 39(8): 15-22

References

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