Comparison of Hysteretic Models for Steel Beams Calibrated by Means of Multi-Objective Optimisation

Abstract:

Phenomenological models are often used to model post-elastic behaviour of steel members in the framework of concentrated-plasticity approach. Many of them can simulate degradation phenomena occurring during cyclic loading, but are dependent on model parameters without clear physical meaning. To overcome this issue, parameter calibration should be performed by curve fitting of experimental responses. In this work, several numerical models implemented in widely used software packages are calibrated against the results provided by an experimental programme involving cyclic and monotonic tests on open and closed cross-section profiles, according a multi-objective methodology recently developed by the authors. The extensive calibration analyses carried out show that the most reliable model among those investigated is the Sivalselvan-Reinhorn model, which is able to provide accurate simulation of both monotonic and cyclic responses. Extension of the calibration procedure is proposed, with an additional objective related to the envelope curve of the cyclic response, and it is shown that this improvement adds robustness to the results.

• Periodical: Key Engineering Materials (Volume 763)
• Pages: 487-494
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.763.487
• Online since: February 2018
• Authors: Corrado Chisari, Gianvittorio Rizzano*
• Keywords: Degradation Parameters, Hysteretic Energy, Multi-Objective Optimisation, Parameter Calibration

References

[1] G. C. Lee and E. Lee, Local buckling of steel sections under cyclic loading, Journal of Constructional Steel Research, vol. 29, no. 1, pp.55-70, (1994).

DOI: 10.1016/0143-974x(94)90056-6

[2] T. Takeda, M. Sozen and N. Nielsen, Reinforced Concrete Response to Simulated Earthquakes, Journal of the Structural Division, vol. 96, no. 12, pp.2557-2573, (1970).

DOI: 10.1061/jsdeag.0002765

[3] R. Bouc, Forced vibration of mechanical systems with hysteresis, in Proceedings of the fourth conference on non-linear oscillation, Prague, Czechoslovakia, (1967).

[4] Y. -K. Wen, Method for random vibration of hysteretic systems, ASCE J Eng Mech Div, vol. 102, no. 2, pp.249-263, (1976).

DOI: 10.1061/jmcea3.0002106

[5] W. Ramberg and W. Osgood, Description of stress–strain curves by three parameters, National Advisory Committee on Aeronautics, Technical Note 902, (1943).

[6] R. M. Richard and B. J. Abbott, Versatile Elasto-Plastic Stress-Strain Formula, Journal of the Engineering Mechanics Division, vol. 101, no. 4, pp.511-515, (1975).

DOI: 10.1061/jmcea3.0002047

[7] R. K. Dowell, F. Seible and E. L. Wilson, Pivot hysteresis model for reinforced concrete members, ACI Structural Journal, vol. 95, no. 5, pp.607-617, (1998).

DOI: 10.14359/575

[8] M. V. Sivaselvan and A. M. Reinhorn, Hysteretic models for deteriorating inelastic structures, J. Eng. Mech., vol. 126, no. 6, pp.633-640, (2000).

DOI: 10.1061/(asce)0733-9399(2000)126:6(633)

[9] L. F. Ibarra, R. A. Medina and H. Krawinkler, Hysteretic models that incorporate strength and stiffness deterioration, Earthquake Engng Struct. Dyn., vol. 34, pp.1489-1511, (2005).

DOI: 10.1002/eqe.495

[10] American Institute of Steel Construction, ANSI/AISC 341-10, AISC, (2010).

[11] C. Chisari, A. B. Francavilla, M. Latour, V. Piluso, G. Rizzano and C. Amadio, Critical issues in parameter calibration of cyclic models for steel members, Engineering Structures, vol. 132, pp.123-138, (2017).

DOI: 10.1016/j.engstruct.2016.11.030

[12] K. Miettinen, Nonlinear Multiobjective Optimization, Springer, (1999).

[13] J. H. Holland, Adaptation in natural and artificial systems. an introductory analysis with applications to biology, control and artificial intelligence, The University of Michigan Press, Ann Arbor, USA, (1975).

[14] K. Deb, A. Pratap, S. Agarwal and T. Meyarivan, A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation, vol. 6, no. 2, pp.182-197, (2002).

DOI: 10.1109/4235.996017

[15] C. Chisari, G. Rizzano and C. Amadio, MultiCal - Multi-objective calibration of hysteretic models, July 2017. [Online]. Available: www. multical. unisa. it. [Accessed 29 August 2017].

[16] M. D'Aniello, R. Landolfo, V. Piluso and G. Rizzano, Ultimate behavior of steel beams under non-uniform bending, Journal of Constructional Steel Research, vol. 78, pp.144-158, (2012).

DOI: 10.1016/j.jcsr.2012.07.003

[17] OpenSees, Open System for Earthquake Engineering Simulation, 2010. [Online]. Available: http: /opensees. berkeley. edu/wiki/index. php/Main_Page. [Accessed 12 October 2016].

[18] Seismosoft, SeismoStruct v7. 0 – A computer program for static and dynamic nonlinear analysis of framed structures, 2014. [Online]. Available: http: /www. seismosoft. com. [Accessed 13 April 2016].