- Volume 14 Issue 3
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Evaluation of genetic algorithms for the optimum distribution of viscous dampers in steel frames under strong earthquakes
- Huang, Xiameng (School of Engineering, University of Warwick)
- Received : 2017.08.26
- Accepted : 2018.02.10
- Published : 2018.03.25
Supplemental passive control devices are widely considered as an important tool to mitigate the dynamic response of a building under seismic excitation. Nevertheless, a systematic method for strategically placing dampers in the buildings is not prescribed in building codes and guidelines. Many deterministic and stochastic methods have been proposed by previous researchers to investigate the optimum distribution of the viscous dampers in the steel frames. However, the seismic performances of the retrofitted buildings that are under large earthquake intensity levels or near collapse state have not been evaluated by any seismic research. Recent years, an increasing number of studies utilize genetic algorithms (GA) to explore the complex engineering optimization problems. GA interfaced with nonlinear response history (NRH) analysis is considered as one of the most powerful and popular stochastic methods to deal with the nonlinear optimization problem of damper distribution. In this paper, the effectiveness and the efficiency of GA on optimizing damper distribution are first evaluated by strong ground motions associated with the collapse failure. A practical optimization framework using GA and NRH analysis is proposed for optimizing the distribution of the fluid viscous dampers within the moment resisting frames (MRF) regarding the improvements of large drifts under intensive seismic context. Both a 10-storey and a 20-storey building are involved to explore higher mode effect. A far-fault and a near-fault earthquake environment are also considered for the frames under different seismic intensity levels. To evaluate the improvements obtained from the GA optimization regarding the collapse performance of the buildings, Incremental Dynamic Analysis (IDA) is conducted and comparisons are made between the GA damper distribution and stiffness proportional damping distribution on the collapse probability of the retrofitted frames.
probability of collapse;genetic algorithms;steel MRFs;viscous dampers;interstorey drift
- Vamvatsikos, D. and Cornell, C.A. (2002), "Incremental dynamic analysis", Earthq. Eng. Struct. Dyn., 31(3), 491-514. https://doi.org/10.1002/eqe.141
- Whittle, J.K., Williams, M.S., Karavasilis, T.L. and Blakeborough, A. (2012), "A comparison of viscous damper placement methods for improving seismic building design", J. Earthq. Eng., 16(4), 540-560. https://doi.org/10.1080/13632469.2011.653864
- Zhang, R.H. and Soong, T.T. (1992), "Seismic design of viscoelastic dampers for structural applications", J. Struct. Eng., 118(5), 1375-1392. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1375)
- MATLAB (2014), Global Optimization Toolbox Release 2014b, The MathWorks, Natick, MA, USA.
- Miyamoto, H.K., Gilani, A.S.J., Wada, A. and Ariyaratana, C. (2010), "Limit states and failure mechanisms of viscous dampers and the implications for large earthquakes", Earthq. Eng. Struct. Dyn., 39(11), 1279-1297. https://doi.org/10.1002/eqe.993
- Newell, J. and Uang, C.M. (2006), "Cyclic behavior of steel columns with combined high axial load and drift demand", Report No. SSRP-06/22, Department of Structural Engineering, University of California, San Diego, CA, USA.
- OpenSees (2016), Open System for Earthquake Engineering Simulation, Pacific Earthquake Engineering Research Center, University of California at Berkeley, Berkeley, CA, USA.
- Pacific Earthquake Engineering Research Center (PEER), NGA Database, http://peer.berkeley.edu/nga.
- Paola, M.D., Mendola, L.L. and Navarra, G. (2007), "Stochastic seismic analysis of structures with nonlinear viscous dampers", J. Struct. Eng., 133(10), 1475-1478. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:10(1475)
- Ramirez, O.M., Constantinou, M.C., Gomez, J.D., Whittaker, A.S. and Chrysostomou, C.Z. (2002), "Evaluation of simplified methods of analysis of yielding structures with damping systems", Earthq. Spectra, 18(3), 501-530. https://doi.org/10.1193/1.1509763
- Ramirez, O.M., Constantinou, M.C., Whittaker, A.S., Kircher C.A. and Chrysostomou C.Z. (2002), "Elastic and inelastic seismic response of buildings with damping systems", Earthq. Spectra, 18(3), 531-547. https://doi.org/10.1193/1.1509762
- Seleemah, A.A. and Constantinou, M.C. (1997), "Investigation of seismic response of buildings with linear and nonlinear fluid viscous dampers", Technical Report No. NCEER-97-0004, National Center for Earthquake Engineering Research, State University of New York at Buffalo, Buffalo, NY, USA.
- Shukla, A.K. and Datta, T.K. (1999), "Optimal use of viscoelastic dampers in building frames for seismic response", J. Struct. Eng., 125(4), 401-409. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:4(401)
- Singh, M.P. and Moreschi, L.M. (2002), "Optimal placement of dampers for passive response control", Earthq. Eng. Struct. Dyn., 31(4), 955-976. https://doi.org/10.1002/eqe.132
- Symans, M.D., Charney, F.A., Whittaker, A.S., Constantinou, M.C., Kircher, C.A., Johnson, M.W. and McNamara, R.J. (2008), "Energy dissipation systems for seismic applications: current practice and recent developments", J. Struct. Eng., 134(1), 3-21. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:1(3)
- Takewaki, I. (1997), "Optimal damper placement for minimum transfer functions", Earthq. Eng. Struct. Dyn., 26(11), 1113-1124. https://doi.org/10.1002/(SICI)1096-9845(199711)26:11<1113::AID-EQE696>3.0.CO;2-X
- Takewaki, I. (2000), "Optimal damper placement for planar building frames using transfer functions", Struct. Multidisc. Optim., 20(4), 280-287. https://doi.org/10.1007/s001580050158
- Taylor Devices Inc. (2017), http://www.taylordevices.com.
- Tzimas, A.S., Dimopoulos, A.I. and Karavasilis, T.L. (2015), "EC8-based seismic design and assessment of self-centering post-tensioned steel frames with viscous dampers", J. Constr. Steel Res., 105, 60-73. https://doi.org/10.1016/j.jcsr.2014.10.022
- Baker, J.W. (2007), "Quantitative classification of near-fault ground motions using wavelet analysis", Bull. Seismol. Soc. Am., 97(5), 1486-1501. https://doi.org/10.1785/0120060255
- Champion, C. and Liel, A. (2012), "The effect of near-fault directivity on building seismic collapse risk", Earthq. Eng. Struct. Dyn., 41(10), 1391-1409. https://doi.org/10.1002/eqe.1188
- Cheng, F.Y. and Pantelides, C.P. (1988), "Optimal placement of actuators for structural control", Technical Report No. NCEER-88-0037; National Center for Earthquake Engineering Research, State University of New York, Buffalo, NY, USA.
- Coley, D.A. (1999), An Introduction to Genetic Algorithms for Scientists and Engineers, World Scientific, Singapore.
- EC8 (2013), Design of Structures for Earthquake Resistance, Eurocode 8, European Committee for Standardization; Brussels, Belgium.
- Apostolakis, G. and Dargush, G.F. (2010), "Optimal seismic design of moment-resisting steel frames with hysteretic passive devices", Earthq. Eng. Struct. Dyn., 39, 355-376.
- Ashour, S.A. and Hanson, R.D. (1987), "Elastic seismic response of buildings with supplemental damping", Report No. UMCE 87-01, Department of Civil Engineering, University of Michigan, Ann Arbor, MI, USA.
- FEMA P695 (2008), Quantification of Building Seismic Performance Factors, ATC-63 Project, Applied Technology Council, Redwood City, CA, USA.
- Gluck, N., Reinhorn, A.M., Gluck, J. and Levy, R. (1996), "Design of supplemental dampers for control of structures", J. Struct. Eng., 122(12), 1394-1399. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:12(1394)
- Hoffman, E.W. and Richards, P.W. (2014), "Efficiently implementing genetic optimization with nonlinear response history analysis of taller buildings", J. Struct. Eng., 140(8), A4014011. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000943
- Holland, J.H. (1992), Adaptation in Natural and Artificial Systems, MIT Press, Cambridge, MA, USA.
- Krawinkler, H. (1978), "Shear in beam-column joints in seismic design of frames", Eng. J., 15(2), 82-91.
- Lavan, O. and Levy, R. (2009), "Simple iterative use of Lyapunov's solution for the linear optimal seismic design of passive devices in framed buildings", J. Earthq. Eng., 13(5), 650-666. https://doi.org/10.1080/13632460902837736
- Levy, R. and Lavan, O. (2006), "Fully stressed design of passive controllers in framed structures for seismic loadings", Struct. Multidisc. Optim., 32(6), 485-498. https://doi.org/10.1007/s00158-005-0558-5
- Lignos, D.G. and Krawinkler, H. (2011), "Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading", J. Struct. Eng., 137(11), 1291-1302. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000376
- Lignos, D.G., Krawinkler, H. and Whittaker, A.S. (2011), "Prediction and validation of sidesway collapse of two scale models of a 4-story steel moment frame", Earthq. Eng. Struct. Dyn., 40(7), 807-825. https://doi.org/10.1002/eqe.1061
- Lopez-Garcia, D. (2001), "A simple method for the design of optimal damper configurations in MDOF structures", Earthq. Spectra, 17(3), 387-398. https://doi.org/10.1193/1.1586180