Optimum Value of Negative Stiffness and Additional Damping in Civil Structures
Publication: Journal of Structural Engineering
Volume 143, Issue 8
Abstract
The negative stiffness (NS) phenomenon and additional supplemental damping (AD) were proposed and investigated in recent years. Despite the bulk of literature on the base shear reduction for structures with the NS at the base or on the first story, the application of the NS and AD in the stories of a superstructure was barely studied. Considering the implementation of the NS and AD in a passive way, this paper proposes an innovative approach to optimize the NS and AD values on the different stories of civil structures. First, the formulation is derived to convert the optimization of NS and AD to the static feedback decentralized controller design problem. Then, the controller is searched by homotopy path, which leads to a local optimal solution. Finally, the procedure is validated by a 20-story benchmark structural model.
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Acknowledgments
The authors would like to thank Prof. Satish Nagarajaiah of Rice University for introducing the negative stiffness concept and Prof. Yang Wang of Georgia Institute of Technology for insightful opinions about the decentralized control. This research is jointly funded by the National Natural Science Foundation of China (51261120375, 51408099) and the China Postdoctoral Science Foundation (2014M560210, 2015T80253).
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Information & Authors
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Published In
Journal of Structural Engineering
Volume 143 • Issue 8 • August 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Mar 8, 2016
Accepted: Jan 17, 2017
Published online: Mar 24, 2017
Published in print: Aug 1, 2017
Discussion open until: Aug 24, 2017
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