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Seismic response of controlled structures with active multiple tuned mass dampers

Han Bingkang (韩兵康)1 and Li Chunxiang (李春祥)2

  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

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 15% 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 15% of its initial stiffness.

Keywords: structural control; active multiple tuned mass dampers (AMTMD); damping; time-domain analysis; uncertainty of stiffness

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Copyright 2009 IEM. Journal of Earthquake Engineering and Engineering Vibration. All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as described below, without written permission from the Publisher. Copying of articles is not permitted except for personal and internal use, to the extent permitted by national copyright law, or under the terms of a license issued by the National Reproduction Rights Organization of China.