Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Monte Carlo analysis of earthquake resistant R-C 3D shear wall-frame structures

  • Taskin, Beyza (Istanbul Technical University, Department of Civil Engineering) ;
  • Hasgur, Zeki (Istanbul Technical University, Department of Civil Engineering)
  • Received : 2003.12.04
  • Accepted : 2005.11.03
  • Published : 2006.02.20
⟨ Previous Next ⟩

Abstract

The theoretical background and capabilities of the developed program, SAR-CWF, for stochastic analysis of 3D reinforced-concrete shear wall-frame structures subject to seismic excitations is presented. Incremental stiffness and strength properties of system members are modeled by extended Roufaiel-Meyer hysteretic relation for bending while shear deformations for walls by Origin-Oriented hysteretic model. For the critical height of shear-walls, division to sub-elements is performed. Different yield capacities with respect to positive and negative bending, finite extensions of plastic hinges and P-${\delta}$ effects are considered while strength deterioration is controlled by accumulated hysteretic energy. Simulated strong motions are obtained from a Gaussian white-noise filtered through Kanai-Tajimi filter. Dynamic equations of motion for the system are formed according to constitutive and compatibility relations and then inserted into equivalent It$\hat{o}$-Stratonovich stochastic differential equations. A system reduction scheme based on the series expansion of eigen-modes of the undamaged structure is implemented. Time histories of seismic response statistics are obtained by utilizing the computer programs developed for different types of structures.

Keywords

References

  1. Atalay, M.B. and Penzien, J. (1975), 'The seismic behavior of critical regions of reinforced concrete components as influenced by moment, shear and axial forces', Report of EERC, EERC-75-19, University of California, Berkeley, California
  2. Aydan, O., Ulusay, R., Hasgur Z. and Hamada, M. (1999), 'The behaviour of structures built on active fault zones in view of actual examples from the 1999 Kocaeli and Chi-Chi earthquakes', Proc. of the ITU-IAHS Int. Conf on the Kocaeli Earthquake 17 August 1999, Istanbul, November, 131-142
  3. Baber, T.T. and Wen, Y.K. (1979), 'Random vibration of hysteretic degrading structures', Engineering Mechanics, Proc. 3rd Engrg Mechanics Division Specialty Conf., ASCE, NY, 51-54
  4. Bouc, R. (1971), 'Model mathematique d'hysteresis' Acustica, 24, 16-25
  5. Casciati, F. and Faravelli, L. (1989), 'Biaxial damage assessment', Proc. of the Structures Congress '89: Seismic Engineering: Research and Practice, ASCE, San Francisco, 497-506
  6. Casciati, F. and Faravelli, L. (1989), 'Stochastic equivalent linearization for 3-D frames', J. Eng. Mech., ASCE, 114(10), 1760-1771
  7. Caughey, T.K. and Ma, F. (1982), 'The steady-state response of a class of dynamical systems to stochastic excitations', J. Appl. Dyn., 49, 629-633
  8. Clough, R.W. and Johnston, S.B. (1966), 'Effect of stiffness degradation on earthquake ductility requirements', Proc. of Japan Earthquake Engineering Symposium, Tokyo
  9. Clough, R.W. and Penzien, J. (1993), Dynamics of Structures, McGraw-Hill Book Company, NY
  10. D'Ambrisi, A. and Filippou, F.C. (1999), 'Modeling of cyclic shear behavior in RC members', J. Struct. Eng., ASCE, 125(10), 1143-1150 https://doi.org/10.1061/(ASCE)0733-9445(1999)125:10(1143)
  11. DiPaola, M. and Muscolino, G (1990), 'Differential moment equations of FE modeled structures with geometrical non-linearities', Int. J. of Non-Linear Mechanics, 25(4), 363-373 https://doi.org/10.1016/0020-7462(90)90025-5
  12. EIMandooh Galal, K. and Ghobarah, A. (2003), 'Flexural and shear hysteretic behaviour of reinforced concrete columns with variable axial load', Eng. Struct., 25(11), 1353-1454 https://doi.org/10.1016/S0141-0296(03)00111-1
  13. Emam, H.H., Pradlwarter, H.J. and Schueller, G.I. (2000), 'A computational procedure for the implementation of equivalent linearization in finite element analysis', Earthq. Eng. Struct. Dyn., 29, 1-17 https://doi.org/10.1002/(SICI)1096-9845(200001)29:1<1::AID-EQE892>3.0.CO;2-9
  14. Fajfar, P. and Fischinger, M. (1987), 'Non-linear seismic analysis ofRC buildings: Implications of a case study', European Earthq. Eng., 1, 31-43
  15. Giberson, A. (1969), 'Two nonlinear beams with definitions of ductility', J. Struct. Div., ASCE, 95, 137-157
  16. Hasgur, Z. (1997), 'Intensity investigations of strong motion earthquakes at Italy, Yugoslavia, Anatolia and Armenia earthquake belt', Proc. of the Symposium on the Behalf of Prof Rifat Yarar, TDVIKT 97-003, 1, stanbul, December
  17. Hasgur, Z., Taskin, B. and Nur, C. (2003), 'Evaluation of the propriety of the non-linear analyses results with seismic damage indicators for R-C building structures', Proc. of the Fifth National Conf. on Earthquake Engineering, Istanbul, 26-30 May
  18. Hoedajanto, D. (1983), 'A model to simulate lateral force response of RC structures with cylindrical and box sections', Ph.D. Thesis, University of Llinois, Urbana Champaign, USA
  19. Jennings, P.C., Housner, G.W. and Tsai, N.C. (1968), 'Simulated earthquake motions', Report of Earthquake Engineering Research Laboratory, EERL-02, California Institute of Technology, USA
  20. Johnson, E.A., Woitkiewicz, S.F and Bergman, L.A. (1995), 'Some experiments with massively parallel computation for M.C. simulation of stochastic dynamical systems', In: Computational Stochastic Dynamics, Spanos P.D. Editor, Balkema, Rotterdam, Netherlands, 325-336
  21. Kabeyasava, T., Shiohara, H., Otani, S. and Aoyama, H. (1983), 'Analysis of the full-scale seven Story R-C test structure', J. of Faculty of Engrg., University of Tokio, XXXVII, 431-478
  22. Kloeden, E.P. and Platen, E. (1992), The Numerical Solutions of Stochastic Differential Equations, Springer, Berlin
  23. Kristensen, N.B. and Norgaard, K. (1992), 'Stokastisk responsaanalyse af plastik defornerede dynamisk pavirkede 3D betonrammer', M. Sc. Thesis, University of Aalborg, Denmark
  24. Lestuzzi, P. and Badoux, M. (2003), 'The gamma-model: A simple hysteretic model for reinforced concrete walls', Proc. ofthe Concrete Structures in Seismic Regions: FIB 2003 Symposium, Athens, May
  25. Lopez, R.R. (1988), 'A numerical model for non-linear response of RIC frame-wall structures', Ph.D. Thesis, University of Llinois, Urbana Champaign, USA
  26. Ma, S.M., Bertero, V.V. and Popov, E.P. (1976), 'Experimental and analytical studies on the hysteretic behavior of RC rectangular and T-beams', Report of EERC, EERC-76-02, University of California, Berkeley, California
  27. Midorikawa, M. and Kitagawa, Y. (1984), 'U.S.-Japan cooperative research on RIC full-scale building test, Part 4: Dynamic characteristics of the building', Proc. of the 8th World Conf. on EQ Eng., VI, USA, July 21-28, 619-625
  28. Mochizuki, T. and Goto, N. (1983), 'Structural system of buildings in Turkey and empirical evaluation of their seismic strength', Comprehensive Study on Earthquake Disasters in Turkey in View of Seismic Risk Reduction, Edited by: Ohta, Y, Sapporo, Japan
  29. Merk, K.J. (1989), 'Stochastic response and reliability analysis of hysteretic structures', Ph.D. Thesis, University of Aalborg, Denmark
  30. Mork, K.J. and Nielsen, S.R.K. (1991), 'System reduction of random dynamically loaded elasto-plastic structures', Proc. oft he Scandinavian Forum for Stochastic Mechanics, Sweden, April
  31. Mork, K.J. (1992), 'Stochastic analysis of reinforced concrete frames under seismic excitation', Soil Dyn. Earthq. Eng., 11, 145-161 https://doi.org/10.1016/0267-7261(92)90028-C
  32. Nielsen, S.R.K., Merk, K.J. and Toft-Christensen, P. (1989), 'Response analysis of hysteretic multi-story frames under earthquake excitation', Earthq. Eng. Struct. Dyn., 18,655-666 https://doi.org/10.1002/eqe.4290180506
  33. OpenSees (2004), Open System for Earthquake Engineering Simulation, Pacific Earthquake Engineering Research Center, web site: http://opensees.berkeley.edu/index.html
  34. Otani, S. and Sozen, M. (1972), 'Behavior of multistory reinforced concrete frames during earthquakes', Structural Research Series-392, University of Illinois-Urbana Champaign, IL
  35. Otani, S. (1974), 'SAKE: A computer program for inelastic response of RC frames subject to earthquakes', Civil Engineering Studies Technical Report-SRS-413, University of Illinois, Urbana
  36. Pradlwarter, H.J. and Schueller, G.I. (1999), 'Assessment of low probability events of dynamical systems by controlled Monte Carlo simulation', Probabilistic Engineering Mechanics, 14,213-227 https://doi.org/10.1016/S0266-8920(98)00009-5
  37. Prakash, V., Powell, G.H. and Campbell, S.A (1993), 'DRAIN-2DX: Base program description & user guide: Version 1.10', SEMM Report UCB/SEMM-1993/17, University of California, Berkeley, CA
  38. Prakash, V., Powell, G.H. and Campbell, S.A (1994), 'DRAIN-3DX: Base program description & user guide', SEMM Report UCB/SEMM-1994/07, University of California, Berkeley, CA
  39. Przemienniecki, J.S. (1968), Theory ofMatrix Structural Analysis, McGraw-Hill Book Company, NY
  40. Rodriguez-Gomez, S., Chung, YS. and Meyer, C. (1990), 'SARCF-II User's guide: Seismic analysis of reinforced concrete frames', Technical Report NCEER-90-0027, State University of New York, Buffalo
  41. Roufaiel, M.S.L. and Meyer, C. (1987), 'Analytical modeling of hysteretic behavior of RIC frames', J. Struct. Eng., ASCE, 113, 429-444 https://doi.org/10.1061/(ASCE)0733-9445(1987)113:3(429)
  42. Saatcioglu, M. and Ozcebe, G (1989), 'Response of reinforced concrete columns to simulated seismic loading', ACI Struct. J, 86,3-12
  43. Schueller, G.I., Pradlwarter, H.J. and Schenk, C.A. (2003), 'Nonstationary response of large linear FE models under stochastic loading', Comput. Struct., 81,937-947 https://doi.org/10.1016/S0045-7949(02)00473-X
  44. Shinozuka, M., Wen, Y.K. and Casciati, F. (1990), 'Seismic damage and damage-control design for RC frames', J. of Intelligent Material Systems and Structures, 1,476-495 https://doi.org/10.1177/1045389X9000100407
  45. Sobczyk, K. and Trebicki, J. (2000), 'Stochastic dynamics with fatique-induced stiffuess degradation', Probabilistic Engineering Mechanics, 15(1), 91-99 https://doi.org/10.1016/S0266-8920(99)00012-0
  46. Spencer, B.F.J. and Bergman, L.A. (1993), 'On the numerical solution of the Fokker-Planck equation for nonlinear stochastic systems', Nonlinear Dynamics, 4, 357-372 https://doi.org/10.1007/BF00120671
  47. Takeda, T., Sozen, M.A. and Nielsen, N.N. (1970), 'Reinforced concrete response to simulated earthquakes', J. the Struct. Div., ASCE, 96(ST12), 2557-2573
  48. Taskin, B. (2001), 'Non-linear stochastic analysis of 3D reinforced-concrete shear wall-frame structures under seismic excitation', Ph.D. Thesis, Istanbul Technical University, Turkey
  49. Taskin, B. and Hasgur, Z. (2003), 'Determining the non-linear behavior of 3D, R-C shear wall-frame structures with a stochastic approach', ARI-Bulletin ofthe Istanbul Technical University, 53(1), 102-109
  50. Turkish Earthquake Resistant Design Code, (1997), Ministry of Settlement and Public Works, Ankara, Turkey
  51. Umemura, H., Iyoshi, M., Matsuzawa, A. and Ichinose, T. (2001), 'Modeling of hysteresis rule of reinforced concrete structure considering strength degradation due to cyclic loading', Proc. of the Eighth East Asia-Pacific Conf. on Structural Engineering and Construction: Challenges in the 21st Century: EASEC-8, Nanyang Technological University, Singapore, September
  52. Valles, R.E., Reinhom, A.M., Kunnath, S.K., Li, C. and Madan, A. (1996), 'IDARC 2D Version 4.0: A program for the inelastic damage analysis of buildings', Technical Report NCEER-96-0010, State University of New York, Buffalo
  53. Wen, Y.K. (1989), 'Methods of random vibration for inelastic structures', Appl. Mech. Rev., 42(2), 42-52

Cited by

  1. Generation of critical and compatible seismic ground acceleration time histories for high-tech facilities vol.26, pp.6, 2007, https://doi.org/10.12989/sem.2007.26.6.687
  2. Hysteretic Finite Elements for the Nonlinear Static and Dynamic Analysis of Structures vol.140, pp.6, 2014, https://doi.org/10.1061/(ASCE)EM.1943-7889.0000699
  3. Earthquake behavior of stiffened RC frame structures with/without subsoil vol.28, pp.5, 2008, https://doi.org/10.12989/sem.2008.28.5.571