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Nonlinear Modeling of RC Shear Walls Using Fiber and Shear Spring Elements

전단스프링과 섬유요소를 이용한 철근콘크리트 전단벽의 비선형 해석모델에 관한 연구

  • Received : 2012.04.02
  • Accepted : 2012.06.14
  • Published : 2012.10.31

Abstract

In this study, fiber elements and a spring are used to build a reinforced concrete shear wall model. The fiber elements and the spring reflect flexural and shear behaviors of the shear wall, respectively. The fiber elements are built by inputting section data and material properties. The spring parameters representing strength and stiffness degradation, pinching, and slip were determined by comparing behaviors of fiber element and VecTor2 results. 'Pinching4' model in OpenSees is used for shear spring. The parameter selecting process for shear spring is a complicated and time consuming process. To study the applicability of the fiber element, reinforced concrete buildings containing a shear wall are evaluated using nonlinear dynamic analysis with various wall aspect ratio (H/L), various beam heights, and stiffness and flexural strength of beam and wall ratios. The aspect ratio of the wall showed distinct difference in IDR (interstory drift ratio) of the models with and without spring. On the other hand, the height of beam and ratio of stiffness and flexural strength of beam and wall did not show clear relation.

철근콘크리트 전단벽을 모델링하기 위해서 섬유요소와 전단스프링을 사용한 모델을 개발하였다. 섬유요소는 전단벽의 휨변형을 나타내며, 전단스프링은 전단변형을 나타낸다. 섬유요소는 단면치수와 비선형 재료성질을 입력하여 모델링되며, 전단스프링은 섬유요소모델과 VecTor2프로그램의 해석 결과로부터 그 변수들을 선정한다. 전단스프링은 전단변형에 의한 강도 강성 감소, 핀칭효과, 그리고 슬립현상을 모사할 수 있는 OpenSees의 Pinching4 모델을 사용하였다. 전단스프링의 변수선정과정은 복잡하고 시간이 오래 걸린다. 따라서 섬유요소모델의 사용성을 검토하기 위해 전단벽의 형상비(H/L), 보의 높이변화, 그리고 보와 전단벽의 강성비 휨강도비를 변수로 하여 전단벽 건물에 동적해석을 수행하였다. 전단벽의 형상비는 섬유요소모델을 사용한 모델과 섬유요소와 전단스프링을 함께 사용한 모델의 층간변위비 오차와 일정한 관계를 가진다. 하지만 보의 높이변화와 강성비 휨강도비 변화에 두 모델의 오차는 일정한 관계를 보이지 않는다.

Keywords

References

  1. Elnashai, A. S. and Mwafy, A. M., "Overstrength and Force Reduction Factors of Multistory Reinforced-Concrete Buildings," The Structural Design and Tall Buildings, Vol. 11, No. 5, 2002, pp. 329-351. https://doi.org/10.1002/tal.204
  2. Papanikolaou, A. K., Elnashai, A. S., and Pareja, J. F., "Limits of Applicability of Conventional and Adaptive Pushover Analysis for Seismic Response Assessment," Report 05-02, Mid-America Earthquake Center, University of Illinois at Urbana-Champaign, 2005, 8, 45 pp.
  3. Otani, S., "A Computer Program for Inelastic Analysis of R/ C Frames to Earthquake," A Report on Research Project No. 413, University of Illinois, Urbana, Champaign, 1974, 8 pp.
  4. Kabeyasawa, T., Shiohara, H., Otani, S., and Aoyama, H., "Analysis of the Full-Scale Seven-Story Reinforced Concrete Test Structure," Journal of the Faculty of Engineering, The University of Tokyo, Vol. 37, No. 2, 1983, pp. 431-478.
  5. Linde, P. and Bachmann, H., "Dynamic Modelling and Design of Earthquake-Resistant Walls," Earthquake Engineering and Structural Dynamics, Vol. 23, No. 12, 1994, pp. 1331-1350. https://doi.org/10.1002/eqe.4290231205
  6. Vulcano, A. and Bertero, V., "Analytical Modeling for Predicting the Lateral Response of RC Shear Wall," Evaluation of Their Reliability, EERC, Report No. UBC/EERC-87/19, Earthquake Engineering Research Center, University of California, Berkeley, California, 1987, 99 pp.
  7. Kim, T. W., Jeong, S. H., and You, T. S., "A Simple Model for the Nonlinear Analysis of an RC Shear Wall with Boundary Elements," Journal of the Earthquake Engineering Society of Korea, Vol. 15, No. 4, 2011, pp. 45-54. https://doi.org/10.5000/EESK.2011.15.4.045
  8. Ko, D. W. and Lee, H. S., "Non-Linear Time History Analysis of Piloti-Type High-Rise RC Buildings," Journal of the Earthquake Engineering Society of Korea, Vol. 13, No. 1, 2009, pp. 36-43
  9. Kim, J. K., Choi, H. H., and Jeon, Y., "Seismic Performance Evaluation of Staggered Wall Apartment Buildings," Journal of the Architectural Institute of Korea, Vol. 26, No. 5, 2010, pp. 27-34.
  10. TNO DIANA Bv, Diana-Finite Element Analysis User's Manual, Release 9.3, Delft, The Netherlands, 2008, 134 pp.
  11. Ansys, Inc., Ansys Workbench User's Guilde, Reseased 12.1, Canonsburg, PA, 2009, 120 pp.
  12. Hibbitt, H. D., "ABAQUS/EPGEN, A General Purpose Finite Element Code with Emphasis on Nonlinear Application," Nuclear Engineering and Design, Vol. 77, No. 3, 1984, pp. 271-297. https://doi.org/10.1016/0029-5493(84)90106-7
  13. Vecchio, F. J., "Nonlinear Finite Element Analysis of Reinforced Concrete Membranes," ACI Structural Journal, Vol. 86, No. 1, 1989, pp. 26-35.
  14. ADINA R&D, Inc., "ADINA Theory and Modeling Guide," Report ARD 05-9, Watertown, MA, 2005, 480 pp.
  15. Palermo, D. and Vecchio, F. J., "Simulation of Cyclically Loaded Concrete Structures Based on the Finite-Element Method," Journal of Structural Engineering, Vol. 133, No. 5, 2007, pp. 728-738. https://doi.org/10.1061/(ASCE)0733-9445(2007)133:5(728)
  16. Lee, H. J. and Kuchma, D. A., "Seismic Overstrength of Shear Walls in Parking Structures with Flexible Diaphragms," Journal of Earthquake Engineering, Vol. 11, No. 1, 2007, pp. 86-109. https://doi.org/10.1080/13632460601033488
  17. Ji, J., Elnashai, A. S., and Kuchma, D. A., "Seismic Fragility Assessment for Reinforced Concrete High-Rise Buildings," Report 07-14, Mid-America Earthquake Center, University of Illinois at Urbana-Champaign, 2007, pp. 55-57.
  18. Mwafy, M., "Analytical Derived Fragility Relationships for the Modern High-Rise Buildings in the UAE," The Structural Design of Tall and Special Buildings, Vol. 21, No. 11, 2012, pp. 824-843. https://doi.org/10.1002/tal.642
  19. Lee, J. H., Jeon, Y., and Kim, J. K., "Response Modification Factors of Rectangular Staggered Wall System Buildings," Journal of the Architectural Institute of Korea, Vol. 27, No. 7, 2011, pp. 77-84.
  20. OpenSees, Open System for Earthquake Engineering Simulation, Pacific Earthquake Engineering Research Center, University of California, Berkeley, California, 2004, 465 pp.
  21. Lowes, L. N., Mitra, N., and Altoontash, A., "A Beam-Column Joint Model for Simulating the Earthquake Response of Reinforced Concrete Frames," PEER Report 2003/10, Pacific Earthquake Engineering Research Center, University of California, Berkeley, California, 2004, pp. 29-30.
  22. Vecchio, F. J. and Collins, M. P., "The Modified Compression Field Theory for Reinforced Concrete Element Subjected to Shear," ACI Structural Journal, Vol. 83, No. 2, pp. 219-231.
  23. Salonikios, T. N., Kappos, A. J., Tegos, I. A., and Penelis, G. G., "Cyclic Load Behavior of Low-Slenderness Reinforced Concrete Wall: Design Basis and Test Results," ACI Structural Journal, Vol. 87, No. 1, 1990, pp. 649-660.
  24. Pilakoutas, K. and Elnashai, A., "Cyclic Behavior of Reinforced Concrete Cantilever Walls, Part I: Experimental Results," ACI Material Journal, Vol. 92, No. 3, 1995, pp. 271-281.
  25. Popovics, S., "A Numerical Approach to the Complete Stress Strain Curve for Concrete," Cement and Concrete Research, Vol. 3, No. 5, 1973, pp. 583-599. https://doi.org/10.1016/0008-8846(73)90096-3
  26. Seckin, M., "Hysteretic Behavior of Cast-in-Place Exterior Beam-Column-Slab Subassemblies," Doctoral Thesis, University of Toronto, Toronto, Canada, 1981, 266 pp.
  27. Kanvinde, A. M., "Methods to Evaluate the Dynamic Stability of Structures-Shake Table Tests and Nonlinear Dynamic Analyses," Earthquake Engineering Research Institute Paper Competition Winner, Proceedings of EERI Meeting, Portland, Oregon, 2003, pp. 1-12.
  28. Mander, J. B., Priestley, M. J. N., and Park, R., "Theoretical Stress-Strain Model for Confined Concrete," Journal of Structural Engineering, Vol. 114, No. 8, 1988, pp. 1804-1825. https://doi.org/10.1061/(ASCE)0733-9445(1988)114:8(1804)
  29. Karsan, I. D. and Jirsa, J. O., "Behavior of Concrete under Compressive Loading," Journal of Structural Division ASCE, Vol. 95, No. ST12, 1969, pp. 2543-2563.
  30. Kim, S. S., Structural Design of Reinforced Concrete(철 근콘크리트 구조설계), Munundang, Korea, 2008, 317, 361 pp.
  31. Architectural Research, Korean Building Code, Architectural Research, 2009, 281 pp.
  32. Somerville, P., Smith N., Puntamurthula, S., and Sun, J., "Development of Ground Motion Time Histories for Phase 2 of the FEMA/SAC Steel Project," SAC Background Document SAC/BC-97/04, SAC Joint Venture, Richmond, CA, 1997, 41 pp.