Design method of structure using inerter system based on dual control of displacement and acceleration and damping enhancement
This paper takes the single-degree-of-freedom structure with inerter system as the research object.By comparing the mean square value of the response of the uncontrolled structure and the structure with inerter system under the excitation of white noise,the performance control objectives of displacement and acceleration for inerter system was proposed.The relations among the objectives of displacement control,acceleration control and damping enhancement were analyzed.Then,it is found that when the displacement and acceleration control objectives are determined,the ratio of damping enhancement of inerter system has a unique maximum value.Therefore,a parameter design method of an inerter system based on dual control of displacement and acceleration and damping enhancement was proposed,which can achieve the desired control objectives of displacement and acceleration and maximize the damping enhancement effect of the inerter system.An example is given to test the design method,which verifies the feasibility of the method.The research results show that using the inerter system parameters designed by this method,the displacement response between layers and the absolute acceleration response of the floor under the excitation of white noise are quantitatively controlled in a statistical sense.Under the excitation of actual seismic waves,the inerter system parameters designed by this method also achieves the expected control effect.