摘要
In this study, the influences of the installation of inerter-based dampers (IBDs) on each modal response, IBDs stroke, inerter stroke, and control force produced by IBDs are derived analytically. A new installation scheme to implement the two ends of the IBDs across multiple storeys, i.e., span-storey installation, is proposed to enhance the control performance of IBDs. The paper starts with a single degrees of freedom (SDOF) system with IBD, and optimal parameters formulas of IBD based on H2 criterion are obtained. Then the multiple degrees of freedom (MDOF) system with the span-storey installed IBD is analyzed, and an optimization design method is proposed for the new installation method. The proposed design method of span-storey installed IBDs can reuse the design formulas in SDOF case and can reduce response of target modal. A 3-storey benchmark building model is selected as case study, and the results reveal that IBDs with new installation method outperform tuned mass damper (TMD) and the span-storey installation of IBDs is beneficial for control of first modal. Also, the proposed method is validated by the sensitivity analysis and impulse response analysis in case study. Besides, through the comparison of span-storey mounting strategy and increasing inertance strategy, one finds that the span-storey installation of IBDs can substantially improve the efficiency of inerter and damper and reduce the control force by amplifying the drift. Through the simulation on a 9-storey nonlinear benchmark building, the span-storey installed IBDs are found to possess high efficiency in seismic control and can significant reduce the building damage during earthquake.
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