- Volume 3 Issue 1
DOI QR Code
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
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.
Supported by : Japanese Society for the Promotion of Science
- ATC (1996), Seismic evaluation and retrofit of concrete buildings, Vol.1, ATC-40, Applied Technology Council, Redwood City.
- BSSC (1997), NEHRP guidelines for the seismic rehabilitation of buildings, FEMA-273, developed by ATC for FEMA, Washington, D.C.
- Chopra, A.K., Goel, R.K. and Chintanapakdee, C. (2004), "Evaluation of a modified MPA procedure assuming higher modes as elastic to estimate seismic demands", Earthq. Spectra, 20(3), 757-778. https://doi.org/10.1193/1.1775237
- Fajfar, P. (1999), "Capacity spectrum method based on inelastic demand spectra", Earthq. Eng. Struct. Dyn., 28(9), 979-993. https://doi.org/10.1002/(SICI)1096-9845(199909)28:9<979::AID-EQE850>3.0.CO;2-1
- Freeman, S.A., Nicoletti, J.P. and Tyrell, J.V. (1975), "Evaluations of existing buildings for seismic risk: a case study of Puget Sound Naval Shipyard, Bremerton, Washington", Proc. 1st US. National Conf. Earthq. Eng., EERI, Berkeley, 113-122.
- Freeman, S.A. (1998), "Development and use of capacity spectrum method", Proc. 6th US. National Conf. Earthq. Eng., Seattle, CD-ROM, EERI, Oakland.
- Gencturk B. and Elnashai, A.S. (2008), "Development and application of an advanced capacity spectrum method", Eng. Struct. 30(11), 3345-3354. https://doi.org/10.1016/j.engstruct.2008.05.008
- Guyader, A.C. and Iwan, W.D. (2006), "Determining equivalent linear parameters for use in a capacity spectrum method of analysis", J. Struct. Eng. - ASCE., 132(1), 59-67. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:1(59)
- Hayashi, Y. (2002), "Evaluation of seismic design load based on equivalent-performance response spectra", Proc. of the 11th Japan Earthquake Engineering Symposium, 651-656. (in Japanese)
- Hayashi, Y., Nii, A. and Morii, T. (2008), "Evaluation of building damage based on equivalent-performance response spectra", Proc. of the 14th World Conference on Earthquake Engineering, China.
- Inoue, K. and Kuwahara, S. (1998), "Optimum strength ratio of hysteretic damper", Earthq. Eng. Struct. Dyn., 27(6), 577-588. https://doi.org/10.1002/(SICI)1096-9845(199806)27:6<577::AID-EQE743>3.0.CO;2-U
- Kalkan, E. and Kunnath, S.K. (2006), "Adaptive modal combination procedure for nonlinear static analysis of building structures", J. Struct. Eng. - ASCE., 132(11), 1721-1731. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:11(1721)
- Lin, Y.Y. and Miranda, E. (2004), "Non-iterative capacity spectrum method based on equivalent linearization for estimating inelastic deformation demands of buildings", J. Struct. Mech. Earthq. Eng. - JSCE, 733(I-69), 113-119.
- Newmark, N.M. and Hall, W.J. (1982), "Earthquake spectra and design", Earthquake Engineering Research Institute, Berkeley.
- Seismic resistant design manual committee for wood buildings (2004), Seismic resistant design manual for wood buildings, Gakugei-shuppansya, Kyoto. (in Japanese)
- Tani, T., Yoshitomi, S., Tsuji, M. and Takewaki, I. (2009), "High-performance control of wind-induced vibration of high-rise building via innovative high-hardness rubber damper", J. Struct. Design Tall Special Buildings, 18(7), 705-728. https://doi.org/10.1002/tal.457
- Tsuji, M, Murata, S., Kim, H.G., Yoshitomi, S and Takewaki, I (2010), "Post-tensioning damper system for micro-vibration reduction in residential houses", J. Struct. Eng. AIJ, 56B, 171-178. (in Japanese)
- Estimation Method for Seismic Performance and Damping Requirement of Elastic Perfectly Plastic Structures using Newmark and Hall's Response Spectrum vol.32, pp.2, 2016, https://doi.org/10.5659/JAIK_SC.2016.32.2.11