Time-Dependent Buckling Analysis of Concrete-Filled Steel Tubular Arch with Interval Viscoelastic Effects
Publication: Journal of Structural Engineering
Volume 143, Issue 7
Abstract
In this paper, a finite-element-based computational method is proposed for time-dependent structural stability analysis of a concrete-filled steel tubular (CFST) arch with uncertain parameters. Specifically, the targeted uncertainty includes the mercurial effects of the creep and shrinkage of the concrete core, which inevitably affect the structural performance of the CFST arch. The structural stability of the composite arch is systematically investigated under the influence of uncertain creep and shrinkage in a time-dependent fashion. The proposed computational scheme efficiently establishes the quantitative long-term stability envelope for CFST arches against uncertain viscoelastic effects. In order to demonstrate the effectiveness and efficiency of the proposed time-dependent structural stability analysis for CFST arches, practically motivated numerical examples are thoroughly investigated throughout this work.
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Acknowledgments
This research work was supported by the Australian Research Council through Discovery Projects DP140101887 and DP160103919. The authors would like to sincerely express our gratitude to all the anonymous reviewers for their valuable comments and constructive suggestions.
References
ACI (American Concrete Institute). (1982). Prediction of creep, shrinkage and temperature effects in concrete structures, Detroit.
Bažant, Z. P. (1972). “Prediction of concrete creep effects using age-adjusted effective modulus method.” ACI Struct. J., 69(4), 212–217.
Bažant, Z. P., and Liu, K.-L. (1985). “Random creep and shrinkage in structures: sampling.” J. Struct. Eng., 1113–1134.
Bažant, Z. P., and Xi, Y. (1993). “Stochastic drying and creep effects in concrete structures.” J. Struct. Eng., 301–322.
Bradford, M., and Pi, Y. (2015). “Geometric nonlinearity and long-term behavior of crown-pinned CFST arches.” J. Struct. Eng., .
Bradford, M. A., Pi, Y. L., and Qu, W. (2011). “Time-dependent in-plane behaviour and buckling of concrete-filled steel tubular arches.” Eng. Struct., 33(5), 1781–1795.
Branson, D. E. (1977). Deformation of concrete structures, McGraw-Hill, New York.
Brooke, A., Kendrick, D., Meeraus, A., and Raman, R. (1998). GAMS: A user’s guide, GAMS Development Corporation, Washington, DC.
Casas, J. R., and Chambi, J. L. (2014). “Partial safety factors for CFRP-wrapped bridge piers: Model assessment and calibration.” Compos. Struct., 118, 267–283.
Choi, B. S., Scanlon, A., and Johnson, P. A. (2004). “Monte Carlo simulation of immediate and time-dependent deflections of reinforced concrete beams and slabs.” ACI Struct. J., 101(5), 633–641.
Cook, R. D., Malkus, D. S., Plesha, M. E., and Witt, R. J. (2002). Concepts and application of finite element analysis, 4th Ed., Wiley, Hoboken, NJ.
Dimou, C., and Koumousis, V. (2009). “Reliability-based optimal design of truss structures using particle swarm optimization.” J. Comput. Civ. Eng., 100–109.
Drud, A. S. (1994). “CONOPT—A large-scale GRG code.” ORSA J. Comput., 6(2), 207–216.
Gao, W., Chen, J. J., Cui, M. T., and Cheng, Y. (2005). “Dynamic response analysis of linear stochastic truss structures under stationary random excitation.” J. Sound Vibr., 281(1-2), 311–321.
Gao, W., Zhang, N., and Ji, J. C. (2009). “A new method for random vibration analysis of stochastic truss structures.” Finite Elem. Anal. Des., 45(3), 190–199.
Geng, Y., Wang, Y., Ranzi, G., and Wu, X. (2014). “Time-dependent analysis of long-span, concrete-filled steel tubular arch bridges.” J. Bridge Eng., .
Gilbert, R. I. (1988). Time effects in concrete structures, Elsevier, Amsterdam, Netherlands.
Hadidi, R., and Gucunski, N. (2008). “Probabilistic approach to the solution of inverse problems in civil engineering.” J. Comput. Civ. Eng., 338–347.
Hamed, E. (2012). “Bending and creep buckling response of viscoelastic functionally graded beam-columns.” Compos. Struct., 94(10), 3043–3051.
Han, L. H., Li, W., and Bjorhovde, R. (2014). “Developments and advanced applications of concrete-filled steel tubular (CFST) structures: Members.” J. Constr. Steel Res., 100, 211–228.
Han, L. H., Zhong, T., and Wei, L. (2003). “Effects of sustained load on concrete-filled hollow structural steel columns.” J. Struct. Eng., 1392–1404.
Ichinose, L. H., Watanabe, E., and Nakai, H. (2001). “An experimental study on creep of concrete filled steel pipes.” J. Constr. Steel Res., 57(4), 453–466.
Li, C. Q. (1994). “Formulation of time-dependent structural serviceability.” Comput. Struct., 52(2), 219–226.
Luo, K., Pi, Y. L., Gao, W., and Bradford, M. A. (2016). “Long-term structural analysis and stability assessment of three-pinned CFST arches accounting for geometric nonlinearity.” Steel Compos. Struct. Int. J., 20(2), 379–397.
Luo, K., Pi, Y. L., Gao, W., Bradford, M. A., and Hui, D. (2015). “Investigation into long-term behaviour and stability of concrete-filled steel tubular arches.” J. Constr. Steel Res., 104, 127–136.
Ma, Y. S., and Wang, Y. F. (2013). “Creep effects on the reliability of a concrete-filled steel tube arch bridge.” J. Struct. Eng., 1095–1104.
Madsen, H. O., and Bažant, Z. P. (1983). “Uncertainty analysis of creep and shrinkage effects in concrete structures.” ACI J., 80(2), 116–127.
Maier, G. (1970). “A matrix structural theory of piecewise linear elastoplasticity with interacting yield planes.” Meccanica, 5(1), 54–66.
Maru, S., and Nagpal, A. (2004). “Neural network for creep and shrinkage deflections in reinforced concrete frames.” J. Comput. Civ. Eng., 350–359.
Morcous, G., Hanna, K., Deng, Y., and Tadros, M. (2012). “Concrete-filled steel tubular tied arch bridge system: Application to Columbus viaduct.” J. Bridge Eng., 107–116.
Muhanna, R., Zhang, H., and Mullen, R. (2007). “Combined axial and bending stiffness in interval finite-element methods.” J. Struct. Eng., 1700–1709.
Mullen, R., and Muhanna, R. (1999). “Bounds of structural response for all possible loading combinations.” J. Struct. Eng., 98–106.
Pan, Z., Fu, C. C., and Jiang, Y. (2011). “Uncertain analysis of creep and shrinkage effects in long-span continuous rigid frame of Sutong Bridge.” J. Bridge Eng., 248–258.
Pi, Y. L., Bradford, M. A., and Qu, W. (2011). “Long-term non-linear behaviour and buckling of shallow concrete-filled steel tubular arches.” Int. J. Non Linear Mech., 46(9), 1155–1166.
Pi, Y.-L., Liu, C., Bradford, M. A., and Zhang, S. M. (2012). “In-plane strength of concrete-filled steel tubular circular arches.” J. Constr. Steel Res., 69(1), 77–94.
Przemieniecki, J. S. (1985). Theory of matrix structural analysis, Dover, New York.
Ranzi, G., Leoni, G., and Zandonini, R. (2013). “State of art on the time-dependent behaviour of composite steel-concrete structures.” J. Constr. Steel Res., 80, 252–263.
SA (Standards Australia). (2009). Australian standard: Concrete structures, Sydney, Australia.
Sofi, A., Muscolino, G., and Elishakoff, I. (2015). “Natural frequencies of structures with interval parameters.” J. Sound Vibr., 347, 79–95.
Stewart, M. G. (1996). “Serviceability reliability analysis of reinforced concrete structures.” J. Struct. Eng., 794–803.
Stolla, F., Salibab, J. E., and Caspera, L. E. (2000). “Experimental study of CFRP-prestressed high-strength concrete bridge beams.” Compos. Struct., 49(2), 191–200.
Tangaramvong, S., and Tin-Loi, F. (2010). “A constrained non-linear system approach for the solution of an extended limit analysis problem.” Int. J. Numer. Methods Eng., 82(8), 995–1021.
Uy, B. (2001). “Static long-term effects in short concrete-filled steel box columns under sustained loading.” ACI Struct. J., 98(1), 96–104.
Wu, D., Gao, W., Feng, J., and Luo, L. (2016). “Structural behaviour evolution of composite steel-concrete curved structure with uncertain creep and shrinkage effects.” Compos. Part B, 86, 261–272.
Wu, D., Gao, W., Tangaramvong, S., and Tin-Loi, F. (2014). “Robust stability analysis of structures with uncertain parameters using mathematical programming approach.” Int. J. Numer. Methods Eng., 100(10), 720–745.
Xi, Y., and Bažant, Z. P. (1989). “Sampling analysis of concrete structures for creep and shrinkage with correlated random material parameters.” Probab. Eng. Mech., 4(4), 174–186.
Xia, B., and Yu, D. (2013). “Modified interval and subinterval perturbation methods for the static response analysis of structures with interval parameters.” J. Struct. Eng., .
Yang, I. H. (2005). “Uncertain and updating of long-term prediction of prestress forces in PSC box girder bridges.” Comput. Struct., 83(25), 2137–2149.
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Published In
Journal of Structural Engineering
Volume 143 • Issue 7 • July 2017
Copyright
©2017 American Society of Civil Engineers.
History
Received: Mar 16, 2016
Accepted: Dec 20, 2016
Published online: Mar 15, 2017
Published in print: Jul 1, 2017
Discussion open until: Aug 15, 2017
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