Abstract：Considering the influences of different forms of negative stiffness dynamic vibration absorbers on the dynamic responses of finite elastic simply supported beam, the coupling dynamics models of the elastic beam with negative stiffness dynamic vibration absorber are proposed. Based on the modal superposition method, the established model is used to derive the analytical expressions of response amplitude corresponding to each mode. Taking the first-order vibration mode of the elastic beam as the vibration suppression target, the optimal design parameters of different types of dynamic vibration absorbers are presented according to the fixed-point theory and the maximum minimization optimization criterion. Taking the power flow as the evaluation index of the vibration control performance, theoretical models of the admittance power flow of the elastic beam with dynamic vibration absorbers are established. Furthermore, the total and net power flows and the power flow consumption of the elastic beam and the dynamic vibration absorber is analyzed, respectively, and the vibration suppression characteristic for different forms of dynamic vibration absorber is studied. Finally, the model with the most significant vibration control performance is selected as the research object, and the parametric studies are carried out by taking some main design parameters into account. The calculation results show that the vibration control effect of the negative stiffness dynamic vibration absorber on the dynamic response of the elastic simply supported beam is significantly better than that of the linear vibration absorber, and multiple vibration modes responses have been suppressed significantly, near the natural frequencies of the controlled modes. When the damping element and the negative stiffness element are grounded at the same time, the control effect on the elastic beam dynamic response is the best; many design parameters of the negative stiffness dynamic vibration absorber have the optimal values.
刘海平，黄志锋，边新孝. 负刚度吸振器对有限长弹性梁的抑振效果研究[J]. 振动与冲击, 2022, 41(4): 134-141.
LIU Haiping, HUANG Zhifeng, BIAN Xinxiao. A study on vibration suppression effect of a finite elastic beam with a negative stiffness vibration absorber. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(4): 134-141.
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