A novel stochastic linearization framework for seismic demand estimation of hysteretic MDOF systems subject to linear response spectra

Structural Safety - Tập 72 - Trang 84-98 - 2018
Ioannis P. Mitseas1, Ioannis A. Kougioumtzoglou2, Agathoklis Giaralis3, Michael Beer1,4,5
1Institute for Risk and Reliability, Faculty of Civil Engineering and Geodetic Science Leibniz University Hannover, Callinstr. 34, 30167 Hannover, Germany
2Department of Civil Engineering and Engineering Mechanics, The Fu Foundation School of Engineering and Applied Science, Columbia University, 500 West 120th Street, New York, NY 10027, USA
3Department of Civil Engineering, City, University of London, Northampton Square, EC1V 0HB, London, UK
4Institute for Risk and Uncertainty and School of Engineering, University of Liverpool, Peach Street, Liverpool L69 7ZF, UK
5International Joint Research Center for Engineering Reliability and Stochastic Mechanics, Tongji University, No. 1239, Si Ping Rd. Shanghai 200092, China

Tài liệu tham khảo

McGuire, 1995 Lin, 2005, Evaluation of damping reduction factors for estimating elastic response of structures with high damping, Earthq Eng Struct Dyn, 34, 1427, 10.1002/eqe.499 I. Avramidis A. Athanatopoulou K. Morfidis A. Sextos A. Giaralis Eurocode-compliant seismic analysis and design of r/c buildings: concepts, commentary and worked examples with flowcharts Geotech Geolog Earthq Eng Springer, New York 10.1007/978-3-319-25270-4 2016 Katsanos, 2010, Selection of earthquake ground motion records: a state-of-the-art review from a structural engineering perspective, Soil Dyn Earthq Eng, 30, 157, 10.1016/j.soildyn.2009.10.005 Giaralis, 2009, Wavelet-based response spectrum compatible synthesis of accelerograms-Eurocode application (EC8), Soil Dynam Earthq Eng, 29, 219, 10.1016/j.soildyn.2007.12.002 Katsanos, 2013, ISSARS: an integrated software environment for structure-specific earthquake ground motion selection, Adv Eng Softw, 58, 70, 10.1016/j.advengsoft.2013.01.003 Araujo, 2015, Code-based record selection methods for seismic performance assessment of buildings, Earthq Eng Struct dyn, 45, 129, 10.1002/eqe.2620 Beyer, 2007, Selection and scaling of real accelerograms for bi-directional loadings: a review of current practice and code provisions, J Earthq Eng, 11, 13, 10.1080/13632460701280013 Federal Emergency Management Agency FEMA, Prestandard and commentary for the seismic rehabilitation of buildings. Rep. No. FEMA-356, Washington, D.C.; 2000. BSSC, NEHRP recommended provisions for seismic regulations for new buildings and other structures. Building Seismic Safety Council for the Federal Emergency Management Agency (FEMA Rep. 368, 369), Washington, DC; 2003. CEN. Eurocode 8: Design of Structures for Earthquake Resistance – Part 1: General Rules, Seismic Actions and Rules for Buildings. EN 1998-1: 2003 E. Comité Européen de Normalisation, Brussels; 2004. Federal Emergency Management Agency FEMA. Improvement of nonlinear static seismic analysis procedures. Rep. No. FEMA-440, Washington, DC, USA; 2005. Fajfar, 2000, A nonlinear analysis method for performance-based seismic design, Earthq Spec, 16, 573, 10.1193/1.1586128 Chopra, 2000, Evaluation of NSP to estimate seismic deformation: SDF systems, J Struct Eng ASCE, 126, 482, 10.1061/(ASCE)0733-9445(2000)126:4(482) Priestley, 2007 De Luca, 2013, Near-optimal piecewise linear fits of static pushover capacity curves for equivalent SDOF analysis, Earthq Eng Struct Dyn, 42, 523, 10.1002/eqe.2225 Newmark, 1982 Veletsos AS, Newmark NM. Effect of inelastic behavior on the response of simple systems to earthquake motions. Proceedings of the 2nd World Conference on Earthquake Engineering vol. 2 p. 895–12; Japan, 1960. Miranda, 1994, Evaluation of strength reduction factors for earthquake-resistance design, Earthq spect, 10, 357, 10.1193/1.1585778 Karakostas, 2007, Site-dependent design spectra and strength modification factors, based on records from Greece, Soil Dyn Earthq Eng, 27, 1012, 10.1016/j.soildyn.2007.03.002 Chopra AK. Dynamics of structures. Theory and applications to earthquake engineering. 2nd ed. Prectice-Hall; 2001. Kappos, 1999, Evaluation of behaviour factors on the basis of ductility and overstrength studies, Eng Struct, 21, 823, 10.1016/S0141-0296(98)00050-9 Miranda, 2000, Inelastic displacement ratios for structures on firm sites, J Struct Eng, 126, 1150, 10.1061/(ASCE)0733-9445(2000)126:10(1150) Gulkan, 1974, Inelastic response of reinforced concrete structures to earthquake motion, ACI J, 71, 604 Iwan, 1980, Estimating inelastic response spectra from elastic spectra, Earthquake Eng Struct Dyn, 8, 375, 10.1002/eqe.4290080407 Miranda, 2001, Estimation of inelastic deformation demands of SDOF systems, J Struct Eng, 127, 1005, 10.1061/(ASCE)0733-9445(2001)127:9(1005) Chopra, 2004, Inelastic deformation ratios for design and evaluation of structures: single-degree-of-freedom bilinear systems, J Struct Eng ASCE, 130, 1309, 10.1061/(ASCE)0733-9445(2004)130:9(1309) Rosenblueth, 1964, On a Kind of Hysteretic Damping, ASCE J Eng Mechan, 90, 37 Blandon, 2005, Equivalent viscous damping equations for direct displacement based design, J Earthquake Eng, 9, 257, 10.1142/S1363246905002390 Guyader, 2006, Determining equivalent linear parameters for use in a capacity spectrum method of analysis, J Struct Eng, 132, 59, 10.1061/(ASCE)0733-9445(2006)132:1(59) Miranda, 2002, Evaluation of approximate methods to estimate maximum inelastic displacement demands, Earthq Eng Struct Dyn, 31, 539, 10.1002/eqe.143 Lin, 2009, Evaluation of equivalent linear methods for estimating targeted displacements of existing structures, Eng Struct, 31, 3080, 10.1016/j.engstruct.2009.08.009 Monteiro, 2014, Spectral reduction factors evaluation for seismic assessment of frame buildings, Eng struct, 77, 129, 10.1016/j.engstruct.2014.07.041 Levy, 2006, Equivalent linearization applied to earthquake excitations and the R –μ–T o relationships, Eng Struct, 28, 216, 10.1016/j.engstruct.2005.07.004 Makris, 2013, Estimating the “effective period” of bilinear systems with linearization methods, wavelet and time-domain analyses: from inelastic displacements to modal identification, Soil Dyn Earthq Eng, 45, 80, 10.1016/j.soildyn.2012.11.007 Iwan, 1979, The effective period and damping of a class of hysteretic structures, Earthquake Eng Struct Dyn, 7, 199, 10.1002/eqe.4290070302 Kwan, 2003, Influence of hysteretic behavior on equivalent period and damping of structural systems, J Struct Eng ASCE, 129, 576, 10.1061/(ASCE)0733-9445(2003)129:5(576) Liu, 2015, Equivalent viscous damping of bilinear hysteretic oscillators, J Struct Eng ASCE, 141, 10.1061/(ASCE)ST.1943-541X.0001262 Giaralis, 2010, Effective linear damping and stiffness coefficients of nonlinear systems for design spectrum based analysis, Soil Dyn Earthq Eng, 30, 798, 10.1016/j.soildyn.2010.01.012 Caughey, 1960, Random excitation of a system with bilinear hysteresis, J Appl Mech ASME, 27, 649, 10.1115/1.3644077 Roberts, 2003 Spanos, 2013, Third-order statistical linearization-based approach to derive equivalent linear properties of bilinear hysteretic systems for seismic response spectrum analysis, Struct Saf, 44, 59, 10.1016/j.strusafe.2012.12.001 Wen, 1980, Equivalent linearization for hysteretic systems under random excitation, J Appl Mech ASME, 47, 150, 10.1115/1.3153594 Kougioumtzoglou, 2013, Nonlinear MDOF system stochastic response determination via a dimension reduction approach, Comput Struct, 126, 135, 10.1016/j.compstruc.2012.11.020 Der Kiureghian, 2009, Nonlinear stochastic dynamic analysis for performance-based earthquake engineering, Earthq Eng Struct Dyn, 38, 719, 10.1002/eqe.899 Cacciola, 2004, Combination of modal responses consistent with seismic input representation, J Struct Eng ASCE, 130, 47, 10.1061/(ASCE)0733-9445(2004)130:1(47) Vanmarcke, 1976, Structural response to earthquakes, 287 Vanmarcke, 1972, Properties of spectral moments with applications to random vibration, J Eng Mech, 98, 425 Kaul, 1978, Stochastic characterization of earthquakes through their response spectrum, Earthq Eng Struct Dyn, 6, 497, 10.1002/eqe.4290060506 Pfaffinger, 1983, Calculation of power spectra from response spectra, J Eng Mech ASCE, 109, 357, 10.1061/(ASCE)0733-9399(1983)109:1(357) Park, 1995, New conversion method from response spectrum to PSD functions, J Eng Mech ASCE, 121, 1391, 10.1061/(ASCE)0733-9399(1995)121:12(1391) Falsone, 2000, Stochastic modelling of earthquake excitation following the EC8: power spectrum and filtering equations, Eur Earthq Eng, 14, 3 Clough, 1993 Lai, 1982, Statistical characterization of strong ground motions using power spectral density function, Bull Seismol Soc Am, 72, 259 Giaralis, 2012, Derivation of response spectrum compatible non-stationary stochastic processes relying on Monte-Carlo peak factor estimation, Earthq Struct, 3, 581, 10.12989/eas.2012.3.3_4.581 Kazakov, 1965, Generalization of the method of statistical linearization to multidimensional systems, Autom Remote Control, 26, 458 Atalik, 1976, Stochastic linearization of multi-degree-of-freedom non-linear systems, Earthquake Engineering and Structural Dynamics, 4, 411, 10.1002/eqe.4290040408 Fang, 1986, Generalization of Caughey's normal mode approach to nonlinear random vibration problems, AIAA J, 24, 531, 10.2514/3.48662 Lutes, 2004 Giaralis A, Kougioumtzoglou IA, Dos Santos K. Non-stationary stochastic dynamics response analysis of bilinear oscillators to pulse-like ground motions. In: 16th World Conference on Earthquake Engineering 2017 – 16WCEE (January 9–13, 2017, Santiago, Chile), paper #3401, p. 12. Tubaldi, 2014, Nonstationary stochastic response of structural systems equipped with nonlinear viscous dampers under seismic excitation, Earthq Eng Struct Dyn Mitseas, 2016, An approximate stochastic dynamics approach for nonlinear structural system performance-based multi-objective optimum design, Struct Saf, 60, 67, 10.1016/j.strusafe.2016.01.003 Spanos, 2014, Survival probability determination of nonlinear oscillators subject to evolutionary stochastic excitation, ASME J Appl Mech, 81, 10.1115/1.4026182 Mitseas, 2016, Nonlinear MDOF system survival probability determination subject to evolutionary stochastic excitation, Strojniški vestnik, J Mech Eng, 62, 440, 10.5545/sv-jme.2016.3752 Hubbard, 2011, Damping coefficients for near-fault ground motion response spectra, Soil Dyn Earthquake Eng, 31, 401, 10.1016/j.soildyn.2010.09.009 Wen, 1976, Method for random vibration of hysteretic systems, J Eng Mech Div ASCE, 102, 249, 10.1061/JMCEA3.0002106 Wen, 1994, Method for nonstationary random vibration of inelastic structures, Probabilis Eng Mech, 9, 115, 10.1016/0266-8920(94)90035-3 Guo, 2002, Seismic reliability analysis of hysteretic structure with viscoelastic dampers, Eng Struct, 24, 373, 10.1016/S0141-0296(01)00103-1 Karavasilis, 2012, Hysteretic model for steel energy dissipation devices and evaluation of a minimal-damage seismic design approach for steel buildings, J Constr Steel Res, 70, 367 Ikhouane, 2006, Analytical characterization of hysteresis loops described by the Bouc-Wen model, Mech Adv Mater Struct, 13, 463, 10.1080/15376490600862830 Giaralis A, Spanos PD. Derivation of equivalent linear properties of Bouc-Wen hysteretic systems for seismic response spectrum analysis via statistical linearization. In: Proceedings of the 10th HSTAM International Congress on Mechanics (May 25-27, 2013, Chania, Greece) Beskos, D., Stavroulakis, G.E., Technical University of Crete Press. Shinozuka, 1991, Simulation of stochastic processes by spectral representation, Appl Mech Rev, 44, 191, 10.1115/1.3119501 Silva, 2000, Calibration of the equivalent linearization Gaussian approach applied to simple hysteretic systems subjected to narrow band seismic motions, Struct Saf, 22, 211, 10.1016/S0167-4730(00)00007-2