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Non‐monotonic optimal damper placement via steepest direction search
Author(s) -
Takewaki Izuru,
Yoshitomi Shinta,
Uetani Koji,
Tsuji Masaaki
Publication year - 1999
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/(sici)1096-9845(199906)28:6<655::aid-eqe833>3.0.co;2-t
Subject(s) - monotonic function , damper , structural engineering , mathematical optimization , computer science , geology , mathematics , algorithm , control theory (sociology) , engineering , mathematical analysis , artificial intelligence , control (management)
An efficient and systematic procedure is proposed for finding the optimal damper positioning to minimize the dynamic compliance of a 3‐D shear building model. The dynamic compliance is expressed in terms of the transfer function amplitudes of the local interstorey drifts evaluated at the undamped fundamental natural frequency. The dynamic compliance is minimized subject to a constraint on the sum of the damping coefficients of added dampers. Optimality criteria are derived and the optimal damper positioning is determined via an original steepest direction search algorithm. This algorithm enables one to find an optimal damper positioning sequentially for gradually increasing damper capacity levels. A non‐monotonic design path with respect to the total damper capacity level often appears in the application of this algorithm. A new augmented algorithm via parameter switching is devised to find this non‐monotonic design path. Copyright © 1999 John Wiley & Sons, Ltd.