Optimized Study Of Tuned Inerter Damper With Negative Stiffness Device

Inerter is a device that converts the acceleration difference between the two ends into inertial force.The inerter can output much more than the inertial force provided by its physical mass by converting motion mode,and the negative stiffness device can control vibration by adjusting the natural frequency of the primary structure.Therefore,it is meaningful to study the performance when they work together。Aiming at the defects of traditional tuning mass dampers with narrow control bandwidth and excessive dependence on mass ratio,this paper proposes a new damper device combining inerter and negative stiffness device(TID＿NSD for short).In order to explore the vibration control performance of TID＿NSD,this paper has done the following research around the optimization of damper parameters and performance analysis:1.The single-degree-of-freedom model has theoretically verified the performance of inertia and negative stiffness working alone.The research results show that the inerter is capable of replacing the mass element in the traditional TMD,and achieve the same vibration control effect while enhancing the efficiency of energy dissipation;the negative stiffness element can reduce the stiffness of the system,thereby lowering its natural frequency,so the vibration at the original resonance frequency is controlled.2.Based on fixed point theory and H2 index optimization control method,the parameters of TID＿NSD are optimized,and compared with traditional TMD and TID.The research results verify the feasibility and superiority of the TID＿NSD device.TID＿NSD possesses the advantages of inerter and negative stiffness device,while the shortcomings been made up.3.Comparing the optimal parameters and performance obtained by different optimization methods,it is found that the results of the optimal stiffness ratio and the optimal negative stiffness ratio based on the two methods are close,and the difference between the optimal damping ratio is relatively large.Compared with traditional TMD,TID＿NSD device shows the advantages of amplified damping,independent of mass ratio and wider control frequency band.4.The time history analysis of TID＿NSD and traditional TMD under the action of Hach wave,Kobe wave and Hanshin wave,the results verify the correctness of the optimization results,and the comparison with traditional TMD shows the excellent vibration reduction of TID＿NSD device Shock)performance.