Technical Papers
Apr 6, 2016

Hysteretic Model for Shear-Critical Reinforced Concrete Columns

Publication: Journal of Structural Engineering
Volume 142, Issue 9

Abstract

A continuous and smooth hysteretic model for shear-critical reinforced concrete (RC) columns was identified and calibrated based on an efficient stochastic search technique and an experimental database consisting of 30 shear-critical RC columns. The inelastic restoring force of shear-critical columns was described by the Bouc-Wen-Baber-Noori (BWBN) model to produce the requisite strength and stiffness degradation as well as pinching effect. Meanwhile, the backward Euler and Newton-Raphson schemes were adopted to determine the inelastic restoring force by solving the ordinary differential equations. Then a differential evolution (DE) algorithm was utilized to identify the control parameters of the BWBN hysteretic model based on an experimental database consisting of 30 shear-critical rectangular columns under cyclic loading. Finally, prediction equations for the BWBN model parameters were developed in terms of four structural physical parameters. The capability and accuracy of the calibrated hysteretic model were demonstrated by comparison with the available experimental data.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The financial support received from the National Natural Science Foundation of China (51368006), the Major Project of Guangxi Natural Science Foundation (2012GXNSFEA053002), the Guangxi Natural Science Foundation (2013GXNSFBA019237), and the Research Program of Science and Technology of Guangxi Higher Education (2013YB009) is gratefully acknowledged.

References

Aboutaha, R. S., Engelhardt, M. D., Jirsa, J. O., and Kreger, M. E. (1999). “Rehabilitation of shear critical concrete columns by use of rectangular steel jackets.” ACI Struct. J., 96(1), 68–78.
Ajavakom, N., Ng, C. H., and Ma, F. (2008). “Performance of nonlinear degrading structures: Identification, validation, and prediction.” Comput. Struct., 86(7–8), 652–662.
Baber, T. T., and Noori, M. N. (1985). “Random vibration of degrading pinching systems.” J. Eng. Mech., 1010–1026.
Baber, T. T., and Wen, Y. K. (1981). “Random vibrations of hysteretic degrading systems.” J. Eng. Mech., 107(6), 1069–1089.
Bouc, R. (1967). “Forced vibration of mechanical systems with hysteresis.” Proc., 4th Conf. on Nonlinear Oscillation, Academia, Publishing House of Czechoslovak Academy of Science, Prague, Czechoslovakia.
Bouc, R. (1971). “Modèle mathématique d’hystérésis: Application aux systèmes à un degré de liberté.” Acustica, 24(1), 16–25 (in French).
Chung, S. T., and Loh, C. H. (2002). “Identification and verification of seismic demand from different hysteretic models.” J. Earthquake Eng., 6(3), 331–355.
Chung, W., and Ahmad, S. H. (1995). “Analytical model for shear critical reinforced-concrete members.” J. Struct. Eng., 1023–1029.
Clough, R. W., and Johnston, S. B. (1966). “Effect of stiffness degradation on earthquake ductility requirements.” Proc., 2nd Japan National Conf. on Earthquake Engineering, International Association for Earthquake Engineering, Tokyo.
D’Ambrisi, A., and Filippou, F. C. (1999). “Modeling of cyclic shear behavior in RC members.” J. Struct. Eng., 1143–1150.
Dowell, R. K., Seible, F., and Wilson, E. L. (1998). “Pivot hysteresis model for reinforced concrete members.” ACI Struct. J., 95(5), 607–617.
Elwood, K. J. (2004). “Modelling failures in existing reinforced concrete columns.” Can. J. Civ. Eng., 31(5), 846–859.
Elwood, K. J., and Eberhard, M. O. (2009). “Effective stiffness of reinforced concrete columns.” ACI Struct. J., 106(4), 476–484.
Elwood, K. J., and Moehle, J. P. (2005). “Drift capacity of reinforced concrete columns with light transverse reinforcement.” Earthquake Spectra, 21(1), 71–89.
Foliente, G. C. (1995). “Hysteresis modeling of wood joints and structural systems.” J. Struct. Eng., 1013–1022.
Goda, K., Hong, H. P., and Lee, C. S. (2009). “Probabilistic characteristics of seismic ductility demand of SDOF systems with Bouc-Wen hysteretic behavior.” J. Earthquake Eng., 13(5), 600–622.
Ibarra, L. F., Medina, R. A., and Krawinkler, H. (2005). “Hysteretic models that incorporate strength and stiffness deterioration.” Earthquake Eng. Struct. Dynam., 34(12), 1489–1511.
Imbeault, F. A., and Nielsen, N. N. (1973). “Effect of degrading stiffness on the response of multistory frames subjected to earthquakes.” Proc., 5th World Conf. on Earthquake Engineering, International Association for Earthquake Engineering, Tokyo.
Ismail, M., Ikhouane, F., and Rodellar, J. (2009). “The hysteresis Bouc-Wen model, a survey.” Arch. Comput. Method. E, 16(2), 161–188.
Kunnath, S. K., Mander, J. B., and Fang, L. (1997). “Parameter identification for degrading and pinched hysteretic structural concrete systems.” Eng. Struct., 19(3), 224–232.
LeBorgne, M. R., and Ghannoum, W. M. (2014). “Calibrated analytical element for lateral-strength degradation of reinforced concrete columns.” Eng. Struct., 81, 35–48.
Lee, C. S., and Hong, H. P. (2010). “Statistics of inelastic responses of hysteretic systems under bidirectional seismic excitations.” Eng. Struct., 32(8), 2074–2086.
Lee, D. H., and Elnashai, A. S. (2001). “Seismic analysis of RC bridge columns with flexure-shear interaction”. J. Struct. Eng., 546–553.
Li, Y. A., Huang, Y. T., and Hwang, S. J. (2014). “Seismic response of reinforced concrete short columns failed in shear.” ACI Struct. J., 111(4), 945–954.
Loh, C. H., Mao, C. H., Huang, J. R., and Pan, T. C. (2011). “System identification and damage evaluation of degrading hysteresis of reinforced concrete frames.” Earthquake Eng. Struct. D, 40(6), 623–640.
Lynn, A. (1999). “Seismic evaluation of existing reinforced concrete building columns.” Ph.D. thesis, Univ. of California, Berkeley, CA.
Lynn, A., Moehle, J. P., Mahin, S. A., and Holmes, W. T. (1996). “Seismic evaluation of existing reinforced concrete building columns.” Earthquake Spectra, 12(4), 715–739.
Ma, F., Ng, C. H., and Ajavakom, N. (2006). “On system identification and response prediction of degrading structures.” Struct. Control Health, 13(1), 347–364.
Mostafaei, H., and Kabeyasawa, T. (2007). “Axial-shear-flexure interaction approach for reinforced concrete columns.” ACI Struct. J., 104(2), 218–226.
Nagasaka, T. (1982). “Effectiveness of steel fiber as web reinforcement in reinforced concrete columns.” Trans. Japan Concr. Inst., 4, 493–500.
Ohue, M., Morimoto, H., Fujii, S., and Morita, S. (1985). “The behavior of RC short columns failing in splitting bond-shear under dynamic lateral loading.” Trans. Japan Concr. Inst., 7, 293–300.
Otani, S. (1980). “Nonlinear dynamic analysis of reinforced concrete building structures.” Can. J. Civ. Eng., 7(2), 333–344.
Otani, S., and Sozen, M. A. (1974). “Simulated earthquake tests of RC frames.” J. Struct Div., 100(3), 687–701.
Ousalem, H., Kabeyasawa, T., and Tasai, A. (2004). “Evaluation of ultimate deformation capacity at axial load collapse of reinforced concrete columns.” Proc., 13th World Conf. on Earthquake Engineering, New Zealand Society for Earthquake Engineering, Wellington, New Zealand.
Ozcebe, G., and Saatcioglu, M. (1989). “Hysteretic shear model for reinforced concrete members”. J. Struct. Eng., 132–148.
Pan, Z., and Li, B. (2013). “Truss-arch model for shear strength of shear-critical reinforced concrete columns.” J. Struct. Eng., 548–560.
Petrangeli, M., Pinto, P. E., and Ciampi, V. (1999). “Fiber element for cyclic bending and shear of RC structures. I: Theory.” J. Eng. Mech., 994–1001.
Qin, A. K., Huang, V. L., and Suganthan, P. N. (2009). “Differential evolution algorithm with strategy adaptation for global numerical optimization.” IEEE Trans. Evolut. Comput., 13(2), 398–417.
Ricles, J. M., Yang, Y. S., and Priestley, M. J. N. (1998). “Modeling nonductile R/C columns for seismic analysis of bridges.” J. Struct. Eng., 415–425.
Saiidi, M., and Sozen, M. A. (1979). “Simple and complex models for nonlinear seismic response of reinforced concrete structures.”, Univ. of Illinois Engineering Experiment Station, College of Engineering, Univ. of Illinois at Urbana-Champaign, Urbana-Champaign, IL.
Sengupta, P., and Li, B. (2013). “Modified Bouc-Wen model for hysteresis behavior of RC beam-column joints with limited transverse reinforcement.” Eng. Struct., 46, 392–406.
Sengupta, P., and Li, B. (2014). “Hysteresis behavior of reinforced concrete walls.” J. Struct. Eng., 04014030.
Sezen, H., and Chowdhury, T. (2009). “Hysteretic model for reinforced concrete columns including the effect of shear and axial load failure.” J. Struct. Eng., 139–146.
Sezen, H., and Moehle, J. P. (2002). “Seismic behavior of shear-critical reinforced concrete building columns.” Proc., 7th U.S. National Conf. on Earthquake Engineering, Earthquake Engineering Research Institute, Oakland, CA.
Skalomenos, K. A., Hatzigeorgiou, G. D., and Beskos, D. E. (2014). “Parameter identification of three hysteretic models for the simulation of the response of CFT columns to cyclic loading.” Eng. Struct., 61, 44–60.
Song, W., and Dyke, S. (2014). “Real-time dynamic model updating of a hysteretic structural system.” J. Struct. Eng., 04013082.
Storn, R., and Price, K. (1997). “Differential evolution—A simple and efficient adaptive scheme for global optimization over continuous spaces.” J. Global Optim., 11(4), 341–359.
Sucuoǧlu, H., and Erberik, A. (2004). “Energy-based hysteresis and damage models for deteriorating systems.” Earthquake Eng. Struct. Dyn., 33(1), 69–88.
Takeda, T., Sozen, M. A., and Nielson, N. N. (1970). “Reinforced concrete response to simulated earthquakes.” J. Struct. Div., 96(12), 2557–2573.
Tran, C. T. N., and Li, B. (2012). “Initial stiffness of reinforced concrete columns with moderate aspect ratios.” Adv. Struct. Eng., 15(2), 256–276.
Tran, N. C. T. (2010). “Experimental and analytical studies on the seismic behavior of reinforced concrete columns with light transverse reinforcement”. Ph.D. thesis, Nanyang Technological Univ., Singapore.
Umehara, H., and Jirsa, J. O. (1982). “Shear strength and deterioration of short reinforced concrete columns under cyclic deformations.”, Univ. of Texas, Austin, TX.
Veletsos, A. S., Newmark, N. M., and Chelapati, C. V. (1965). “Deformation spectra for elastic and elastoplastic systems subjected to ground shock and earthquake motions.” Proc., 3rd World Conf. on Earthquake Engineering, New Zealand National Committee on Earthquake Engineering, Wellington, New Zealand.
Wen, Y. K. (1976). “Method for random vibration of hysteretic systems.” J. Eng. Mech. Div., 102(2), 249–263.
Xu, J., and Dolan, J. D. (2009a). “Development of a wood-frame shear wall model in ABAQUS.” J. Struct. Eng., 977–984.
Xu, J., and Dolan, J. D. (2009b). “Development of nailed wood joint element in ABAQUS.” J. Struct. Eng., 968–976.
Xu, S. Y., and Zhang, J. (2011). “Hysteretic shear-flexure interaction model of reinforced concrete columns for seismic response assessment of bridges.” Earthquake Eng. Struct. Dyn., 40(3), 315–337.
Zhang, H. C., Foliente, G. C., Yang, Y. M., and Ma, F. (2002). “Parameter identification of inelastic structures under dynamic loads.” Earthquake Eng. Struct. D, 31(5), 1113–1130.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 142Issue 9September 2016

History

Received: Jan 31, 2015
Accepted: Jan 24, 2016
Published online: Apr 6, 2016
Published in print: Sep 1, 2016
Discussion open until: Sep 6, 2016

Permissions

Request permissions for this article.

Authors

Affiliations

Bo Yu, M.ASCE [email protected]
Associate Professor, Key Laboratory of Disaster Prevention and Structural Safety of Ministry of Education of P. R. China, School of Civil Engineering and Architecture, Guangxi Univ., Nanning 530004, China. E-mail: [email protected]
Chao-lie Ning [email protected]
Research Fellow, Institute of Catastrophe Risk Management (ICRM) in Singapore, Nanyang Technological Univ., 50 Nanyang Ave., Singapore 639798. E-mail: [email protected]
Bing Li, M.ASCE [email protected]
Associate Professor, School of Civil and Environmental Engineering, Nanyang Technological Univ., 50 Nanyang Ave., Singapore 639798 (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share