New control strategy: active open-closed-loop multiple tuned mass dampers (AMTMD) for structures
  Revised:February 28, 2002
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DOI:10.7511/jslx20036131
KeyWord:active multiple tuned mass dampers,open-closed-loop control,vibration control,Min.Min.Max.DMF,optimum parameters
Li Chunxiang~
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Abstract:
      A new control strategy-active open-closed-loop multiple tuned mass dampers (AMTMD), which consists of many active tuned mass dampers (ATMDs) with a uniform distribution of natural frequencies has been proposed for attenuating undesirable vibrations of structures under the ground acceleration. The MTMD in the AMTMD is manufactured through keeping the stiffness and damping constant and varying the mass. In according to the basic principle of the passive tuned mass damper(TMD), the active control forces of AMTMD are defined, namely the control forces are generated through keeping the identical displacement and velocity feedback gain, however varying the structural and earthquake acceleration feedback gains. Moreover, based on the mode generalized model in the specific vibration mode being controlled, the expression for the dynamic magnification factor (DMF) of the structure with AMTMD is formulated. The criterion for the optimum searching can then be defined as the minimization of the minimum values of the maximum dynamic magnification factors (i.e. Min.Min.Max.DMF). With resorting to the selected criterion, the research on the parameters reflecting the effectiveness and robustness of AMTMD is conducted. The parameters include the frequency spacing, average damping ratio, tuning frequency ratio, total number, mass ratio, and normalized acceleration feedback gain coefficient. Additionally, for the sake of comparison, the results of MTMD and open-closed-loop ATMD are also taken into account.