Seismic response of controlled structures with active multiple tuned mass
dampers
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Han Bingkang (º«±ø¿µ) 1 and Li Chunxiang (Àî´ºÏé)2
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1. College of Civil Engineering, Tongji University, 1239 Siping Road,
Shanghai 200092, China
2. Department of Civil Engineering, Shanghai University, 149 Yanchang Road,
Shanghai 200072, China
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Abstract:
Active multiple tuned mass dampers
(referred to as AMTMD), which consist of several active tuned mass dampers
(ATMDs) with identical stiffness and damping coefficients but varying mass and
control force, have recently been proposed to suppress undesirable oscillations
of structures under ground acceleration. It has been shown that the AMTMD can
remarkably improve the performance of multiple tuned mass dampers (MTMDs) and is
also more effective in reducing structure oscillation than single ATMDs.
Notwithstanding this, good performance of AMTMD (including a single ATMD
illustrated from frequency-domain analysis) may not necessarily translate into a
good seismic reduction behavior in the time-domain. To investigate these
phenomena, a three-story steel structure model controlled by AMTMD with three
ATMDs was implemented in SIMULINK and subjected to several historical
earthquakes. Likewise, the structure under consideration was assumed to have
uncertainty of stiffness, such as ¡À15% of its initial stiffness, in the
numerical simulations. The optimum design parameters of the AMTMD were obtained
in the frequency-domain by implementing the minimization of the minimum values
of the maximum dynamic magnification factors (DMF) of general structures with
AMTMD. For comparison purposes, response analysis of the same structure with a
single ATMD was also performed. The numerical analysis and comparison show that
the AMTMD generally renders better effectiveness when compared with a single
ATMD for structures subjected to historical earthquakes. In particular, the
AMTMD can improve the effectiveness of a single ATMD for a structure with an
uncertainty of stiffness of ¡À15% of its initial stiffness.
Keywords:
structural control; active multiple
tuned mass dampers (AMTMD); damping; time-domain analysis; uncertainty of
stiffness
