Abstract
A novel dynamic vibration absorber(DVA) model with negative stiffness and inerter-mass is presented and analytically studied in this paper. The research shows there are still two fixed points independent of the absorber damping in the amplitude frequency curve of the primary system when the system contains negative stiffness and inerter-mass. The optimum frequency ratio is obtained based on the fixed-point theory. In order to ensure the stability of the system, it is found that inappropriate inerter coefficient will cause the system instable when screening optimal negative stiffness ratio. Accordingly, the best working range of inerter is determined and optimal negative stiffness ratio and approximate optimal damping ratio are also obtained. At last the control performance of the presented DVA is compared with three existing typical DVAs. The comparison results in harmonic and random excitation show that the presented DVA could not only reduce the peak value of the amplitude-frequency curve of the primary system significantly, but also broaden the efficient frequency range of vibration mitigation.
Highlights
Vibration control plays a critical role in industrial productions and has become one of the most important research topics in the field of nonlinear dynamics
In 1928, Ormondroyd and Den Hartog [2, 3] found that a Dynamic vibration absorber (DVA) with damping element could suppress the amplitude of the primary system in a broader frequency range, which had been recognized as the typical Voigt type DVA
The results show that adding negative stiffness can greatly enlarge the vibration isolation frequency band and achieve effective vibration isolation effect
Summary
Vibration control plays a critical role in industrial productions and has become one of the most important research topics in the field of nonlinear dynamics. In 2001, Ren [4] presented a DVA where the damping element was not connected to the primary system, but to the earth or the base structure The result indicated it could present better control performance than Voigt type DVA under the same parameters condition. X absorbers can significantly improve the robustness of system parameters, expand anti-resonance and expand vibration suppression bandwidth These studies showed that the introduction of inerter has a potential advantage in improving the performance of the DVA. Inerter can change the inertia characteristics of the system without changing the physical mass of the structure, grounding stiffness can adjust the stiffness characteristics of the system Both devices can change the natural frequency of the system, and improve the performance of the vibration absorber.
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