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Ductility inverse-mapping method for SDOF systems including passive dampers for varying input level of ground motion

  • Kim, Hyeong-Gook (Department of Architecture & Architectural Engineering, Kyoto University) ;
  • Yoshitomi, Shinta (Department of Architecture & Architectural Engineering, Kyoto University) ;
  • Tsuji, Masaaki (Department of Architecture & Architectural Engineering, Kyoto University) ;
  • Takewaki, Izuru (Department of Architecture & Architectural Engineering, Kyoto University)
  • Received : 2010.09.25
  • Accepted : 2011.09.09
  • Published : 2012.01.25

Abstract

A ductility inverse-mapping method for SDOF systems including passive dampers is proposed which enables one to find the maximum acceleration of ground motion for the prescribed maximum response deformation. In the conventional capacity spectrum method, the maximum response deformation is computed through iterative procedures for the prescribed maximum acceleration of ground motion. This is because the equivalent linear model for response evaluation is described in terms of unknown maximum deformation. While successive calculations are needed, no numerically unstable iterative procedure is required in the proposed method. This ductility inverse-mapping method is applied to an SDOF model of bilinear hysteresis. The SDOF models without and with passive dampers (viscous, viscoelastic and hysteretic dampers) are taken into account to investigate the effectiveness of passive dampers for seismic retrofitting of building structures. Since the maximum response deformation is the principal parameter and specified sequentially, the proposed ductility inverse-mapping method is suitable for the implementation of the performance-based design.

Keywords

capacity spectrum method;maximum ground acceleration;response spectrum;passive dampers;ductility inverse-mapping method;demand and capacity spectra;equivalent linear model;performance-based design

Acknowledgement

Supported by : Japanese Society for the Promotion of Science

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