Non-monotonic optimal damper placement via steepest direction search

• Published in: Earthquake engineering & structural dynamics Vol. 28; no. 6; pp. 655 - 670
• Main Authors: Takewaki, Izuru, Yoshitomi, Shinta, Uetani, Koji, Tsuji, Masaaki
• Format: Journal Article
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 01.06.1999; Wiley
• Subjects: Applied sciences; Buildings. Public works; design sensitivity analysis; dynamic compliance; Exact sciences and technology; Geotechnics; non-monotonic path; non-proportional damping; optimal damper placement; passive control; Stresses. Safety; Structural analysis. Stresses; Structure-soil interaction; transfer function; Damping; Positioning; Sensitivity analysis; Compliance; Buildings; Problem solving; Vibration damper; Numerical simulation; Construction structure; Transfer function; Modeling; Optimization
• ISSN: 0098-8847; 1096-9845
• DOI: 10.1002/(SICI)1096-9845(199906)28:6<655::AID-EQE833>3.0.CO;2-T

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.