استخراج پارامترهای مدل چرخه‌ای دیوارهای برشی

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار گروه عمران، دانشگاه قم، قم، ایران

2 گروه مهندسی عمران، دانشکده فنی و مهندسی، دانشگاه قم، قم، ایران

چکیده

در طراحی لرزه‌ای سازه‌ها بر اساس عملکرد، درک صحیح و کامل رفتار غیرخطی اعضای سازه‌ای در تغییرشکل‌های غیرارتجاعی ناشی از زلزله مورد نیاز است. عمدتاً در زلزله اعضای سازه‌ای لرزه ‌بر وارد فاز غیرارتجاعی شده و در آن‌ها مفاصل پلاستیک تشکیل می‌شود. جهت برآورد عددی رفتار سازه‌ها، لازم است منحنی بار-تغییرشکل رفتار چرخه‌ای عضو سازه‌ای در دسترس باشد تا بر مبنای آن بتوان پاسخ لرزه‌ای سازه‌ها را تخمین زد. مدل‌های چرخه‌ای عمدتاً توسط پارامترهایی تعریف می‌شوند که بیانگر مقاومت، سختی، شکل‌پذیری، زوال و سایر خصوصیات اجزاء سازه‌ای می‌باشند. پارامترهای رفتار چرخه‌ای را می‌توان از روش‌های مختلفی استخراج نمود که شامل استخراج نتایج از آزمایش، مدل‌های اجزای محدود و روابط محاسباتی مبتنی ‌بر مکانیک می‌باشد. هدف این تحقیق استخراج پارامترهای مدل‌سازی دیوارهای برشی بتنی بر اساس نتایج آزمایشگاهی است. در این مطالعه پارامترهای رفتار چرخه‌ای دیوارهای برشی برای 135 نمونه آزمایشگاهی دیوار برشی بلند و 99 نمونه آزمایشگاهی دیوار برشی کوتاه که تحت آزمایش بارگذاری چرخه‌ای قرار گرفته‌اند، محاسبه شده است. به همین منظور با استفاده از مدل رفتار چرخه‌ای اصلاح شده ایبارا-کراوینکلر در نرم‌افزار OpenSees، نتایج آزمایشگاهی مدل‌سازی و پارامترهای چرخه‌ای آن استخراج شده‌اند. در انتها، پارامترهای چرخه‌ای استخراج شده بصورت آماری جمع‌بندی شده و محدوده‌های پیشنهادی برای هر یک از پارامترهای رفتار چرخه‌ای دیوارهای برشی ارائه گردیده است.  

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Determining Hysteretic Parameter Model for RC Shear Wall

نویسندگان [English]

  • Mahdi Sharifi 1
  • Mohammad Ali Fathali 2
  • Mohammad Ali Ansaripour 2
  • Ahmadreza Mohamad Amri 2
1 Department of Civil Engineering, Faculty of Engineering, University of Qom, Qom, Iran
2 Department of Civil Engineering, Faculty of Engineering, University of Qom, Qom, Iran
چکیده [English]

In seismic performance-based design, this is required to have comprehensive knowledge about the nonlinear behavior of components. In time history analysis which is the most power full tool for predicting the structural response, the hysteretic model of the plastic hinge is needed. Hysteretic models are defined with some parameters that show strength, stiffness, ductility, deterioration, degradations, and other characteristics such as reversal path. Hysteretic parameters can be adopted from different methods including experimental results, finite element analysis, and mechanical engineering relation. The main goal of this research is to determine and extracting the shear wall hysteretic parameter from the existing experimental test results. The hysteretic parameters have been extracted from 135 sample test data for the slender shear wall and 99 sample test data for the squat shear wall in this study. All experimental test data has been simulated in OpenSees software using the modified Ibarra-krawinkler models and their hysteretic parameters are extracted. Finally, some statistical analysis has been performed and the representative values of these statics are presented.  

کلیدواژه‌ها [English]

  • Nonlinear analysis
  • RC shear wall
  • Cyclic behavior
  • Stiffness degradation
  • Strength deterioration
[1]    M. Sharifi, M. Shafieian, Effective stiffness of concrete shear walls based on statistical analysis, Structural Concrete, 19(6) (2018) 1560-1576.
[2]    R.W. Clough, Effect of stiffness degradation on earthquake ductility requirements, in:  Proceedings of Japan earthquake engineering symposium, 1966.
[3]    T. Hisada, K. Nakagawa, M. Izumi, Earthquake Response of Structures Having Various Restoring Force Characteristics, in:  Proceedings, Japan National Conference on Earthquake Engineering, 1962, pp. 63-68.
[4]    S.A. Mahin, V.V. Bertero, Rate of loading effects on uncracked and repaired reinforced concrete members, Earthquake Engineering Research Center, University of California, 1972.
[5]    H. Sucuoglu, A. Erberik, Energy-based hysteresis and damage models for deteriorating systems, Earthquake Engineering & Structural Dynamics, 33(1) (2004) 69-88.
[6]    T. Takeda, M.A. Sozen, N.N. Nielsen, Reinforced concrete response to simulated earthquakes, Journal of the Structural Division, 96(12) (1970) 2557-2573.
[7]    R. Bouc, Forced vibrations of mechanical systems with hysteresis, in:  Proc. of the Fourth Conference on Nonlinear Oscillations, Prague, 1967, 1967.
[8]    Y.K. Wen, Equivalent Linearization for Hysteretic Systems under Random Excitation, Journal of Applied Mechanics, 47(1) (1980) 150-154.
[9]    T.T. Baber, Y.-K. Wen, Random vibration hysteretic, degrading systems, Journal of the Engineering Mechanics, 107(6) (1981) 1069-1087.
[10]   T.T. Baber, M.N. Noori, Modeling General Hysteresis Behavior and Random Vibration Application, Journal of Vibration, Acoustics, Stress, and Reliability in Design, 108(4) (1986) 411-420.
[11]   G.C. Foliente, Hysteresis Modeling of Wood Joints and Structural Systems, Journal of Structural Engineering, 121(6) (1995) 1013-1022.
[12]   W. Ramberg, W.R. Osgood, Description of stress-strain curves by three parameters, (1943).
[13]   M. Menegotto, P. Pinto, Method of Analysis for Cyclically Loaded Reinforced Concrete Plane Frames Including Changes in Geometryand Non-elastic Behavior of Elements Under Combined Normal Force and Bending, Proceedings. IABSE Sympoium on Resistance and Ultimate Deformability of Structures Acted on by Well-Defined Repeated Loads, (1973).
[14]   S.K. Kunnath, A.M. Reinhorn, Y.J. Park, Analytical Modeling of Inelastic Seismic Response of R/C Structures, Journal of Structural Engineering, 116(4) (1990) 996-1017.
[15]   M.V. Sivaselvan, A.M. Reinhorn, Hysteretic Models for Deteriorating Inelastic Structures, Journal of Engineering Mechanics, 126(6) (2000) 633-640.
[16]   K. Lee, B. Stojadinovic, Low-cycle fatigue limit on seismic rotation capacity for US Steel moment connections, in:  Proceedings, 13th World Conference on Earthquake Engineering, 2004.
[17]   J.K. Song, J.A. Pincheira, Spectral Displacement Demands of Stiffness- and Strength-Degrading Systems, Earthquake Spectra, 16(4) (2000) 817-851.
[18]   M. Rahnama, H. Krawinkler, Effects of soft soil and hysteresis model on seismic demands, John A. Blume Earthquake Engineering Center Standford, 1993.
[19]   L.F. Ibarra, H. Krawinkler, Global collapse of frame structures under seismic excitations, Pacific Earthquake Engineering Research Center Berkeley, CA, 2005.
[20]   L.F. Ibarra, R.A. Medina, H. Krawinkler, Hysteretic models that incorporate strength and stiffness deterioration, Earthquake Engineering & Structural Dynamics, 34(12) (2005) 1489-1511.
[21]   D. Cardone, G. Perrone, Damage and Loss Assessment of Pre-70 RC Frame Buildings with FEMA P-58, Journal of Earthquake Engineering, 21(1) (2017) 23-61.
[22]   M.T. De Risi, P. Ricci, G.M. Verderame, Modelling exterior unreinforced beam-column joints in seismic analysis of non-ductile RC frames, Earthquake Engineering & Structural Dynamics, 46(6) (2017) 899-923.
[23]   D. Deniz, J. Song, J.F. Hajjar, Energy-based seismic collapse criterion for ductile planar structural frames, Engineering Structures, 141 (2017) 1-13.
[24]   J. Kiani, S. Pezeshk, Sensitivity analysis of the seismic demands of RC moment resisting frames to different aspects of ground motions, Earthquake Engineering & Structural Dynamics, 46(15) (2017) 2739-2755.
[25]   N. Mohammad Noh, L. Liberatore, F. Mollaioli, S. Tesfamariam, Modelling of masonry infilled RC frames subjected to cyclic loads: State of the art review and modelling with OpenSees, Engineering Structures, 150 (2017) 599-621.
[26]   J. Chen, T.-M. Chan, Experimental assessment of the flexural behaviour of concrete-filled steel tubular beams with octagonal sections, Engineering Structures, 199 (2019) 109604.
[27]   G.J. O’Reilly, T.J. Sullivan, Modeling Techniques for the Seismic Assessment of the Existing Italian RC Frame Structures, Journal of Earthquake Engineering, 23(8) (2019) 1262-1296.
[28]   M. Hirosawa, Past Experimental Results on Reinforced Concrete Shear Walls and Analysis on Them, Kenchiku Kenkyu Shiryo, 6 (1975) 33-34.
[29]   F. Barda, J.M. Hanson, W.G. Corley, Shear strength of low-rise walls with boundary elements, Special Publication, 53 (1977) 149-202.
[30]   J.M.H. Felix Barda, W.G. Corley, Shear Strength of Low-Rise Walls with Boundary Elements, Special Publication, 53 (1977).
[31]   T. Endo, H. Adachi, M. Nakanishi, Force-Deformation Hysteresis Curves of Reinforced Concrete Shear Walls, in:  Proceedings of the Seventh World Conference on Earthquake Engineering, 1980, pp. 315-322.
[32]   M.J.N.P. T. Paulay, A.J. Synge, Ductility in Earthquake Resisting Squat Shearwalls, ACI Journal Proceedings, 79(4) (1982).
[33]   H. Aoyama, D. Kato, H. Katsumata, Y. Hosokawa, Strength and behavior of postcast shear walls for strengthening of existing R/C buildings, in:  Proceeding of eight world conference on earthquake engineering, 1984, pp. 485-492.
[34]   J.D.A.-O.K.N.S. R.G. Oesterle, W.G. Corley, Web Crushing of Reinforced Concrete Structural Walls, ACI Journal Proceedings, 81(3) (1984).
[35]   J.I. Daniel, K.N. Shiu, W.G. Corley, Openings in Earthquake-Resistant Structural Walls, Journal of Structural Engineering, 112(7) (1986) 1660-1676.
[36]   T. Kabeyasawa, K. Matsumoto, Tests and analyses of ultra-high strength reinforced concrete shear walls, in:  10th World Conference on Earthquake Engineering, 1992, pp. 3291-3296.
[37]   F. Esaki, Reinforcing Effect of Square Steel Tube on Ductility of R/C Framed Shear Wall Whose Predominant Action is Flexure, Proceedings of the JCI, 16(2) (1994) 1325-1330.
[38]   C. Sittipunt, S.L. Wood, Improving the cyclic response of slender structural walls by changing the orientation of the web reinforcement, ACI Structural Journal, 92(6) (1995) 745-767.
[39]   A.J. Caringal, T. Yamaguchi, H. Imai, Seismic Behavior of Precast Shear Wall with Bar Splices Confined to Spiral Steel, Transactions of the Japan Concrete Institute, 17(2) (1996) 189-196.
[40]   H. Kimura, S. Sugano, Seismic behavior of high strength concrete slender wall under high axial load, in:  11th World Conference on Earthquake Engineering, Paper, 1996.
[41]   T. Nakachi, T. Toda, K. Tabata, Experimental study on deformation capacity of reinforced concrete core walls after flexural yielding, in:  11th World Conference on Earthquake Engineering, 1996.
[42]   I. Tatsuya, Post-yield behaviours of multi-story reinforced concrete shear walls subjected to bilateral deformations under axial loading, in:  The Eleventh World Conference on Earthquake Engineering, 1996.
[43]   C.P. TAYLOR, J.H. THOMSENIV, J.W. WALLACE, Experimental Verification of Displacement-Based Design Procedures for Slender RC Structural Walls, in:  Eleventh World Conference on Earthquake Engineering, 1996.
[44]   A.S. ELNASHAI, R. PINHO, Repair and Retrofitting of RC Walls using Selective Techniques, Journal of Earthquake Engineering, 02(04) (1998) 525-568.
[45]   M. Takehara, M. Takeuchi, M. Mochizuki, Failure Behavior and Macroscopic Model of Framed Shear Walls Using High Strength Concrete, Transactions of the Japan Concrete Institute, 19 (1998) 303-310.
[46]   H. Jiang, Research on seismic behavior of shear walls dissipating energy along vertical direction with application, Doctoral Dissertation, Tongji University, China, 1999.
[47]   J. Lombard, D.T. Lau, J.L. Humar, S. Foo, M. Cheung, Seismic strengthening and repair of reinforced concrete shear walls, in:  Proceedings of 12th World Conf. on Earthquake Engineering, 2000, pp. 1-8.
[48]   T.N. Salonikios, A.J. Kappos, I.A. Tegos, G.G. Penelis, Cyclic load behavior of low-slenderness reinforced concrete walls: failure modes, strength and deformation analysis, and design implications, ACI Structural Journal, 97(1) (2000) 132-141.
[49]   A.A. Tasnimi, Strength and deformation of mid-rise shear walls under load reversal, Engineering Structures, 22(4) (2000) 311-322.
[50]   A.J.K.I.A.T. Thomas N. Salonikios, G.P. Georgios, Cyclic Load Behavior of Low-Slenderness Reinforced Concrete Walls: Failure Modes, Strength and Deformation Analysis, and Design Implications, ACI Structural Journal, 97(1) (2000).
[51]   M.S. Lopes, Experimental shear-dominated response of RC walls: Part I: Objectives, methodology and results, Engineering Structures, 23(3) (2001) 229-239.
[52]   P. Daniel, J.V. Frank, Behavior of Three-Dimensional Reinforced Concrete Shear Walls, ACI Structural Journal, 99(1) (2002).
[53]   J. Paterson, D. Mitchell, Seismic Retrofit of Shear Walls with Headed Bars and Carbon Fiber Wrap, Journal of Structural Engineering, 129(5) (2003) 606-614.
[54]   Y. Chiou, Y. Mo, F. Hsiao, Y. Liou, M. Sheu, Behavior of High Seismic Performance Walls, in:  13th World Conference on Earthquake Engineering, Vancouver, Canada, August, paper, 2004.
[55]   J.I.R. Eric M. Hines, S. Frieder, Force-Displacement Characterization of Well-Confined Bridge Piers, ACI Structural Journal, 101(4) (2004).
[56]   S.-J. Hwang, Y.-S. Tu, Y.-H. Yeh, T.-C. Chiou, Reinforced concrete partition walls retrofitted with carbon fiber reinforced polymer, in:  ANCER annual meeting: networking of young earthquake engineering researchers and professionals, 2004.
[57]   J.H. Thomsen, J.W. Wallace, Displacement-Based Design of Slender Reinforced Concrete Structural Walls-Experimental Verification, Journal of Structural Engineering, 130(4) (2004) 618-630.
[58]   C. Greifenhagen, D. Papas, P. Lestuzzi, Static-cyclic tests on reinforced concrete shear walls with low reinforcement ratios, Gen Inf,  (2005) 1-113.
[59]   Y.-H. Oh, S.-W. Han, Y.-S. Choi, Evaluation and Improvement of Deformation Capacities of Shear Walls Using Displacement-Based Seismic Design, International Journal of Concrete Structures and Materials, 18(1E) (2006) 55-61.
[60]   Y. Belmouden, P. Lestuzzi, Analytical model for predicting nonlinear reversed cyclic behavior of reinforced concrete structural walls, Engineering Structures, 29(7) (2007) 1263-1276.
[61]   S. Shaingchin, P. Lukkunaprasit, S.L. Wood, Influence of diagonal web reinforcement on cyclic behavior of structural walls, Engineering Structures, 29(4) (2007) 498-510.
[62]   R.K.L. Su, S.M. Wong, Seismic behaviour of slender reinforced concrete shear walls under high axial load ratio, Engineering Structures, 29(8) (2007) 1957-1965.
[63]   A. Birely, D. Lehman, L. Lowes, D. Kuchma, C. Hart, K. Marley, Investigation of the seismic behavior and analysis of reinforced concrete structural walls, in:  Proceedings 14th World Conference on Earthquake Engineering, Beijing, China, 2008.
[64]   M. Deng, X. Liang, K. Yang, Experimental study on seismic behavior of high performance concrete shear wall with new strategy of transverse confining stirrups, in:  Proceeding of the 14th World Conference on Earthquake Engineering, Xi’an University of Architecture & Technology, China, 2008, pp. 1-8.
[65]   F.-P. Hsiao, J.-C. Wang, Y.-J. Chiou, Shear strengthening of reinforced concrete framed shear walls using CFRP strips, in:  14th World Conference on Earthquake Engineering, 2008.
[66]   J.W. Wallace, K.J. Elwood, L.M. Massone, Investigation of the Axial Load Capacity for Lightly Reinforced Wall Piers, Journal of Structural Engineering, 134(9) (2008) 1548-1557.
[67]   H. Xiaolei, C. Xuewei, J. Cheang, M. Guiniu, W. Peifeng, Numerical analysis of cyclic loading test of shear walls based on open SEES, Proceedings of the 14th WCEE, China,  (2008).
[68]   A. Dazio, K. Beyer, H. Bachmann, Quasi-static cyclic tests and plastic hinge analysis of RC structural walls, Engineering Structures, 31(7) (2009) 1556-1571.
[69]   Ghorbani-Renani, N. Velev, R. Tremblay, D. Palermo, B. Massicotte, P. Léger, Modeling and testing influence of scaling effects on inelastic response of shear walls, ACI Structural Journal, 106(3) (2009) 358.
[70]   K.O. Leonardo M. Massone, W.W. John, Modeling of Squat Structural Walls Controlled by Shear, ACI Structural Journal, 106(5) (2009).
[71]   N. Nakamura, N. Tsunashima, T. Nakano, E. Tachibana, Analytical study on energy consumption and damage to cylindrical and I-shaped reinforced concrete shear walls subjected to cyclic loading, Engineering Structures, 31(4) (2009) 999-1009.
[72]   H. Zhang, X. Lu, X. Wu, Experimental Study and Numerical Simulation of the Reinforced Concrete Walls with Different Stirrup in the Boundary Element, Journal of Asian Architecture and Building Engineering, 9(2) (2010) 447-454.
[73]   H. Layssi, W.D. Cook, D. Mitchell, Seismic Response and CFRP Retrofit of Poorly Detailed Shear Walls, Journal of Composites for Construction, 16(3) (2012) 332-339.
[74]   T.A. Tran, J. Wallace, Experimental study of nonlinear flexural and shear deformations of reinforced concrete structural walls, in:  15th World Conference on Earthquake Engineering, 2012.
[75]   S. Mazzoni, F. McKenna, M.H. Scott, G.L. Fenves, Open system for earthquake engineering simulation (OpenSees): version2.5.0, Pacific Earthquake Engineering Research (PEER) Center, Berkeley, California, USA, 2016.
[76]   D. Lignos, Sidesway collapse of deteriorating structural systems under seismic excitations, Stanford University, 2008.
[77]   SERIES, Seismic Engineering Research Infrastructures for European Synergies in.
[78]   C. Magna, S. Kunnath, Simulation of nonlinear seismic response of reinforced concrete structural walls, in:  15th World Conference on Earthquake Engineering, 2012.
[79]   W. Corley, A. Derecho, T. Takayanagi, Analysis of inelastic shear deformation effects in reinforced concrete structural wall systems, Portland Cement Association, 1979.
[80]   C.B. Haselton, P.E.E.R. Center, Beam-column element model calibrated for predicting flexural response leading to global collapse of RC frame buildings, Pacific Earthquake Engineering Research Center, 2008.