Stochastic Nonlinear Behavior of Reinforced Concrete Frames. II: Numerical Simulation
Publication: Journal of Structural Engineering
Volume 142, Issue 3
Abstract
Experimental investigations on the stochastic nonlinear behavior of eight half-scale reinforced concrete (RC) frames with the same conditions in the companion paper indicates that the coupling effect between randomness and nonlinearity of concrete will cause a remarkable fluctuation in structural nonlinear responses. In the current paper, a validation program is presented through numerical simulation. Deterministic nonlinear analysis of test specimens is performed on the basis of a force-based beam–column element model. Probability density evolution method (PDEM) is introduced to analyze the stochastic response analysis of structures. Probability density functions of the stochastic structural responses of the specimens are provided at both the load–displacement level and internal-force level. Comparative studies between numerical and experimental results reveal that the numerical method in conjunction with PDEM can not only qualify the fundamental trend of stochastic nonlinear responses of structures but also generate the probabilistic details in structural damage evolution.
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Acknowledgments
Financial supports from the National Natural Science Foundation of China (Grant Nos. 51261120374 and 91315301-01) are greatly appreciated. The authors would like to acknowledge the kind help of Building Structure Laboratory at Tongji University to accomplish the experiments.
References
Chen, J. B., and Li, J. (2005). “Dynamic response and reliability analysis of nonlinear stochastic structures.” Probab. Eng. Mech., 20(1), 33–44.
Chen, J. B., and Zhang, S. H. (2013). “Improving point selection in cubature by a new discrepancy.” SIAM J. Sci. Comput., 35(5), A2121–A2149.
Clough, R. W., Benuska, K. L., and Wilson, E. L. (1965). “Inelastic earthquake response of tall buildings.” Proc., 3rd World Conf. on Earthquake Engineering, Vol. 11, Wellington, New Zealand, 68–84.
Cusatis, G., Mencarelli, A., Pelessone, D., and Baylot, J. (2011a). “Lattice discrete particle model (LDPM) for failure behavior of concrete. II: Calibration and validation.” Cem. Concr. Compos., 33(9), 891–905.
Cusatis, G., Pelessone, D., and Mencarelli, A. (2011b). “Lattice Discrete Particle Model (LDPM) for failure behavior of concrete. I: Theory.” Cem. Concr. Compos., 33(9), 881–890.
Ghanem, R., and Spanos, P. D. (1990). “Polynomial chaos in stochastic finite elements.” J. Appl. Mech., 57(1), 197–202.
Giberson, M. F. (1967). “The response of nonlinear multi-story structures subjected to earthquake excitation.” Ph.D. dissertation, California Institute of Technology, Pasadena, CA.
Hamutçuoğlu, O. M., and Scott, M. H. (2009). “Finite element reliability analysis of bridge girders considering moment-shear interaction.” Struct. Saf., 31(5), 356–362.
Hellesland, J., and Scordelis, A. (1981). “Analysis of RC bridge columns under imposed deformations.” IABSE Colloquium on Advanced Mechanics of Reinforced Concrete, Delft, Holland, 545–559.
Hilmy, S. I., and Abel, J. F. (1985). “Material and geometric nonlinear dynamic analysis of steel frames using computer graphics.” Comput. Struct., 21(4), 825–840.
Hsu, T. T., and Mo, Y. L. (2010). Unified theory of concrete structures, Wiley, New York.
Kleiber, M., and Hien, T. D. (1992). The stochastic finite element method: Basic perturbation technique and computer implementation, Wiley, New York.
Li, J. (1996). Stochastic structural systems: Analysis and modeling, Science Press, Beijing (in Chinese).
Li, J., and Chen, J. (2008). “The principle of preservation of probability and the generalized density evolution equation.” Struct. Saf., 30(1), 65–77.
Li, J., and Chen, J. (2009). Stochastic dynamics of structures, Wiley, New York.
Li, J., Chen, J., Sun, W., and Peng, Y. (2012). “Advances of the probability density evolution method for nonlinear stochastic systems.” Probab. Eng. Mech., 28, 132–142.
Li, J., and Chen, J. B. (2006). “The probability density evolution method for dynamic response analysis of nonlinear stochastic structures.” Int. J. Numer. Methods Eng., 65(6), 882–903.
Li, J., Feng, D., Gao, X., and Zhang, Y. (2016). “Stochastic nonlinear behaviors of reinforced concrete frames. Part I: Experimental investigation.” J. Struct. Eng., 04015162.
Mander, J. B., Priestley, M. J., and Park, R. (1988). “Theoretical stress-strain model for confined concrete.” J. Struct. Eng., 1804–1826.
Mari, A. R. (1984). “Nonlinear geometric, material and time dependent analysis of three dimensional reinforced and prestressed concrete frames.”, Dept. of Civil Engineering, Univ. of California, Berkeley, CA.
Meyer, C., Roufaiel, M. S., and Arzoumanidis, S. G. (1983). “Analysis of damaged concrete frames for cyclic loads.” Earthquake Eng. Struct. Dyn., 11(2), 207–228.
Ministry of Housing and Urban-Rural Development of the People’s Republic of China. (2010). “Code for design of concrete structures.”, Beijing.
Paulay, T., and Priestley, M. J. N. (1992). Seismic design of reinforced concrete and masonry buildings, Wiley, New York.
Powell, G. H., and Chen, P. F. S. (1986). “3D beam-column element with generalized plastic hinges.” J. Eng. Mech., 627–641.
Ren, X., Yang, W., Zhou, Y., and Li, J. (2008). “Behavior of high-performance concrete under uniaxial and biaxial loading.” ACI Mater. J., 105(6), 548–558.
Ren, X. D. (2010). “Multi-scale based stochastic damage constitutive theory for concrete.” Ph.D. dissertation, Tongji Univ., Shanghai, China (in Chinese).
Scott, M. H., and Fenves, G. L. (2006). “Plastic hinge integration methods for force-based beam-column elements.” J. Struct. Eng., 244–252.
Shinozuka, M. (1972). “Monte Carlo solution of structural dynamics.” Comput. Struct., 2(5), 855–874.
Soleimani, D., Popov, E. P., and Bertero, V. V. (1979). “Nonlinear beam model for RC frame analysis.” 7th ASCE Conf. on Electronic Computation, ASCE, Reston, VA.
Spacone, E., Filippou, F. C., and Taucer, F. F. (1996a). “Fibre beam-column model for nonlinear analysis of R/C frames. Part I: Formulation.” Earthquake Eng. Struct. Dyn., 25(7), 711–725.
Spacone, E., Filippou, F. C., and Taucer, F. F. (1996b). “Fibre beam-column model for nonlinear analysis of R/C frames. Part II: Applications.” Earthquake Eng. Struct. Dyn., 25(7), 727–742.
Stevens, N. J., Uzumeri, S. M., and Will, G. T. (1991). “Constitutive model for reinforced concrete finite element analysis.” ACI Struct. J., 88(1), 49–59.
Wu, J. Y., Li, J., and Faria, R. (2006). “An energy release rate-based plastic-damage model for concrete.” Int. J. Solids Struct., 43(3), 583–612.
Zeng, S. J. (2012). “Dynamic experimental research and stochastic damage constitutive model for concrete.” Ph.D. dissertation, Tongji Univ., Shanghai, China (in Chinese).
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Published In
Journal of Structural Engineering
Volume 142 • Issue 3 • March 2016
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© 2015 American Society of Civil Engineers.
History
Received: Nov 20, 2014
Accepted: Sep 18, 2015
Published online: Nov 6, 2015
Published in print: Mar 1, 2016
Discussion open until: Apr 6, 2016
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