Title: Robust optimal placement of dampers in structures with set-back and eccentricity using sensitivity analysis for integrated transfer function

Authors: Taito Kawamoto; Kohei Fujita; Masaaki Tsuji; Izuru Takewaki

Addresses: Department of Architecture and Architectural Engineering, Graduate School of Engineering, Kyoto University, Kyotodaigaku-Katsura, Nishikyo, Kyoto 615-8540, Japan ' Department of Architecture and Architectural Engineering, Graduate School of Engineering, Kyoto University, Kyotodaigaku-Katsura, Nishikyo, Kyoto 615-8540, Japan ' Department of Architecture and Architectural Engineering, Graduate School of Engineering, Kyoto University, Kyotodaigaku-Katsura, Nishikyo, Kyoto 615-8540, Japan ' Department of Architecture and Architectural Engineering, Graduate School of Engineering, Kyoto University, Kyotodaigaku-Katsura, Nishikyo, Kyoto 615-8540, Japan

Abstract: An efficient and systematic procedure is proposed for finding an optimal damper placement to minimise an integrated dynamic compliance of a three-dimensional shear set-back building with eccentricity. The integrated dynamic compliance is expressed in terms of an area of a transfer function with respect to frequency. The integrated dynamic compliance is minimised subject to a constraint on the sum of the damping coefficients of added dampers. A sensitivity-based optimisation algorithm is developed and the optimal damper placement is determined. Different types of integrated transfer function are used as the objective function in the algorithm. The proposed algorithm enables one to find an optimal damper placement sequentially with respect to gradually increasing damper capacity level. The main outcomes of this study are summarised as follows. First, the optimisation algorithm proposed in this paper is less affected by characteristics of input ground motions than other optimisation algorithms based on minimisation of transfer function amplitude or maximisation of the lowest-mode damping ratio. Secondly, the optimisation algorithm is applicable to realistic and complex structural models affected by both translational and torsional modes.

Keywords: optimal damper placement; passive control; design sensitivity analysis; torsional vibration; optimal placement; dampers; shear set-back buildings; eccentricities; integrated transfer function; dynamic compliance; damping coefficients; optimisation; ground motions; translational mode; torsional mode; structural design; earthquakes; seismic response.

DOI: 10.1504/IJEIE.2016.10004075

International Journal of Earthquake and Impact Engineering, 2016 Vol.1 No.4, pp.377 - 394

Received: 12 Nov 2016
Accepted: 22 Nov 2016

Published online: 22 Mar 2017 *

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