Performance and parametric study of infinite-multiple TMDs for structures under ground acceleration by H∞ optimization

A new design method, i.e. the Infinite-Multiple tuned mass dampers (IMTMD) method, is proposed for the optimum configuration of classical MTMD. Firstly, the transfer function (TF) of IMTMD is obtained by integration, and then the dynamic magnification factor (DMF) of the single-degree-of-freedom (SDOF) main structure with IMTMD under base acceleration excitation is investigated as well as MTMD. Using IMTMD the best and critical performance of MTMD composed of many TMDs can be obtained together with optimum design parameters, which can only be conjectured based on a lot of data observation in previous studies. Moreover, the IMTMD method has excellent efficiency of iteration and it can give correct optimum parameters numerically for MTMD composed of more than 20 TMDs. For convenience, two types of MTMD hypotheses proposed in the previous literature are selected as the examples for demonstration and discussion.