Abstract

The use of simplified numerical substructures in hybrid fire simulation is clearly advantageous as long as the resulting simulation accuracy is sufficient. However, excluding geometrical and material nonlinearities from the numerical substructure might make a significant difference in internal force redistribution and reduce the simulation accuracy beyond acceptable levels. Also, materials at a high temperature very often exhibit time-dependent behavior, including strain-rate dependency, high-temperature creep, and stress relaxation, which prohibit the use of extended testing time scales. This standpoint motivated the development of the real-time hybrid fire simulation method presented in this paper. Dynamic relaxation is proposed to solve the static response of the hybrid numerical-experimental fire simulation. As an equivalent dynamic solution method, dynamic relaxation allows for coupling substructure equations of motion by using a partitioned time integration approach. Minimal data exchange between substructures and negligible computational overhead plus ease of reusability of verified finite-element software makes the proposed algorithm suitable for coordinating real-time hybrid fire simulations. The hybrid fire simulation of a virtual steel frame case study is reported as a validation example.

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Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The first author wishes to acknowledge the Swiss Government for funding this research through the Swiss Government Excellence Scholarship Ref. 2014.0588 devoted to the “Development of Advanced Temperature Control Strategies for Hybrid Fire Simulation.” This work has received funding from the European Union’s Horizon 2020 research and innovation program under the SERA Grant Agreement No. 730900 and the related TA project EQUFIRE. Finally, the authors also acknowledge funding from the Swiss Federal Institute of Technology (ETH) Zurich, and the Italian Ministry of Education, University and Research (MIUR) in the frame of the Departments of Excellence Initiative 2018–2022 attributed to DICAM of the University of Trento.

References

Ahmadizadeh, M., and G. Mosqueda. 2008. “Hybrid simulation with improved operator-splitting integration using experimental tangent stiffness matrix estimation.” J. Struct. Eng. 134 (12): 1829–1838. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:12(1829).
Boissonnade, N., R. Greiner, J.-P. Jaspart, and J. Linder. 2006. Rules for member stability in EN 1993-1-1: Background documentation and design guidelines. Brussels, Belgium: European Convention for Constructional Steelwork.
Bonelli, A., O. S. Bursi, L. He, G. Magonette, and P. Pegon. 2008. “Convergence analysis of a parallel interfield method for heterogeneous simulations with dynamic substructuring.” Int. J. Numer. Methods Eng. 75 (7): 800–825. https://doi.org/10.1002/nme.2285.
Bursi, O. S., and P.-S. Shing. 1996. “Evaluation of some implicit time-stepping algorithms for pseudodynamic tests.” Earthquake Eng. Struct. Dyn. 25 (4): 333–355. https://doi.org/10.1002/(SICI)1096-9845(199604)25:4%3C333::AID-EQE548%3E3.0.CO;2-M.
Carrion, E., and B. Spencer. 2006. “Real-time hybrid testing using model-based delay compensation.” In Proc., 4th Int. Conf. on Earthquake Engineering, 299. Taipei, Taiwan: International Association for Earthquake Engineering.
CEN (European Committee for Standardization). 2005a. Eurocode 3: Design of steel structures—Part 1-1: General rules and rules for buildings. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2005b. Eurocode 3: Design of steel structures—Part 1-2: General rules—Structural fire design. Brussels, Belgium: CEN.
Craig, R. R., and A. J. Kurdila. 2006. Fundamentals of structural dynamics. New York: Wiley.
de Klerk, D., D. J. Rixen, and S. Voormeeren. 2008. “General framework for dynamic substructuring: History, review and classification of techniques.” AIAA J. 46 (5): 1169–1181. https://doi.org/10.2514/1.33274.
Farhat, C., P. S. Chen, and J. Mandel. 1995. “A scalable Lagrange multiplier based domain decomposition method for time-dependent problems.” Int. J. Numer. Methods Eng. 38 (22): 3831–3853. https://doi.org/10.1002/nme.1620382207.
Farhat, C., and F. X. Roux. 1991. “A method of finite element tearing and interconnecting and its parallel solution algorithm.” Int. J. Numer. Methods Eng. 32 (6): 1205–1227. https://doi.org/10.1002/nme.1620320604.
Franssen, J.-M., and T. Gernay. 2017. “Modeling structures in fire with SAFIR®: Theoretical background and capabilities.” J. Struct. Fire Eng. 8 (3): 300–323. https://doi.org/10.1108/JSFE-07-2016-0010.
Gravouil, A., and A. Combescure. 2001. “Multi-time-step explicit–implicit method for non-linear structural dynamics.” Int. J. Numer. Methods Eng. 50 (1): 199–225. https://doi.org/10.1002/1097-0207(20010110)50:1%3C199::AID-NME132%3E3.0.CO;2-A.
Hashemi, M. J., and G. Mosqueda. 2014. “Innovative substructuring technique for hybrid simulation of multistory buildings through collapse.” Earthquake Eng. Struct. Dyn. 43 (14): 2059–2074. https://doi.org/10.1002/eqe.2427.
Hung, C.-C., and S. El-Tawil. 2009. “A method for estimating specimen tangent stiffness for hybrid simulation.” Earthquake Eng. Struct. Dyn. 38 (1): 115–134. https://doi.org/10.1002/eqe.850.
ISO. 1999. Fire resistance tests. Part 2. ISO 834-BS EN 1363-2. Geneva, Switzerland: ISO.
Korzen, M., G. Magonette, and P. Buchet. 1999. “Mechanical loading of columns in fire tests by means of the substructuring method.” In Proc., 8th INTERFLAM '99: Fire Science and Engineering Conf., 911–914. London: Interscience Communications.
Korzen, M., J. P. C. Rodrigues, and A. M. Correia. 2009. “Thermal restraint effects on the fire resistance of steel and composite steel and concrete columns.” Appl. Struct. Fire Eng. 2009 (Feb): 512–517.
Korzen, M., K.-U. Ziener, S. Riemer, G. Magonette, and P. Buchet. 2002. “Some remarks on the substructuring method applied to fire resistance tests of columns.” In Proc., World Congress on Housing. Miami: International Association for Housing Science.
Mergny, E., T. Gernay, G. Drion, and J. M. Franssen. 2019. “Hybrid fire testing in a non-linear environment using a proportional integral controller.” J. Struct. Fire Eng. 10 (2): 245–258. https://doi.org/10.1108/JSFE-09-2018-0022.
Morbioli, A., N. Tondini, and J.-M. Battini. 2018. “A branch-switching procedure for analysing instability of steel structures subjected to fire.” Struct. Eng. Mech. 67 (6): 629–641. https://doi.org/10.12989/sem.2018.67.6.629.
Mostafaei, H. 2013a. “Hybrid fire testing for assessing performance of structures in fire—Application.” Fire Saf. J. 56 (Feb): 30–38. https://doi.org/10.1016/j.firesaf.2012.12.003.
Mostafaei, H. 2013b. “Hybrid fire testing for assessing performance of structures in fire—Methodology.” Fire Saf. J. 58 (May): 170–179. https://doi.org/10.1016/j.firesaf.2013.02.005.
Newmark, N. 1959. “A method of computation for structural dynamics.” J. Eng. Mech. Div. 85 (3): 67–94.
Park, K. C., C. A. Felippa, and U. A. Gumaste. 2000. “A localized version of the method of Lagrange multipliers and its applications.” Comput. Mech. 24 (6): 476–490. https://doi.org/10.1007/s004660050007.
Robert, F., S. Rimlinger, and C. Collignon. 2010. “Structure fire resistance: A joint approach between modelling and full scale testing (substructuring system).” In Proc., 3rd fib Int. Congress. Lausanne, Switzerland: The International Federation for Structural Concrete.
Sauca, A., T. Gernay, F. Robert, N. Tondini, and J.-M. Franssen. 2018a. “Hybrid fire testing: Discussion on stability and implementation of a new method in a virtual environment.” J. Struct. Fire Eng. 9 (4): 319–341. https://doi.org/10.1108/JSFE-01-2017-0017.
Sauca, A., E. Mergny, T. Gernay, and J. M. Franssen. 2018b. “A method for hybrid fire testing: Development, implementation and numerical application.” In Proc., Int. Conf. of Applications of Structural Fire Engineering, ASFE 2017, 225–234. London: Taylor & Francis.
Schellenberg, A. H., S. A. Mahin, and G. L. Fenves. 2009. Advanced implementation of hybrid simulation. Berkeley, CA: Univ. of California.
Schulthess, P. 2019. “Consolidated fire analysis—Coupled numerical simulation and physical testing for global structural fire analysis.” Ph.D. thesis, Dept. of Civil, Environmental and Geomatic Engineering, ETH Zurich.
Shing, P.-S. B., and S. A. Mahin. 1987. “Cumulative experimental errors in pseudodynamic tests.” Earthquake Eng. Struct. Dyn. 15 (4): 409–424. https://doi.org/10.1002/eqe.4290150402.
Thewalt, C., and M. Roman. 1994. “Performance parameters for pseudodynamic tests.” J. Struct. Eng. 120 (9): 2768–2781. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:9(2768).
Underwood, P. G. 1983. Computational methods for transient analysis. Amsterdam, Netherlands: North-Holland.
Wang, X., R. E. Kim, O.-S. Kwon, I.-H. Yeo, and J.-K. Ahn. 2019. “Continuous real-time hybrid simulation method for structures subject to fire.” J. Struct. Eng. 145 (12): 04019152. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002436.
Whyte, C. A., K. R. Mackie, and B. Stojadinovic. 2015. “Hybrid simulation of thermomechanical structural response.” J. Struct. Eng. 142 (2): 04015107. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001346.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 146Issue 9September 2020

History

Received: Apr 24, 2019
Accepted: Apr 7, 2020
Published online: Jul 9, 2020
Published in print: Sep 1, 2020
Discussion open until: Dec 9, 2020

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Assistant Professor, Dept. of Engineering, Univ. of Århus, 10 Inge Lehmanns Gade, Århus C 8000, Denmark (corresponding author). ORCID: https://orcid.org/0000-0002-5048-8505. Email: [email protected]
Ph.D. Student, Dept. of Civil, Mechanical and Environmental Engineering, Univ. of Trento, 77 via Mesiano, Trento 38123, Italy. ORCID: https://orcid.org/0000-0002-0570-4061. Email: [email protected]
Nicola Tondini [email protected]
Assistant Professor, Dept. of Civil, Mechanical and Environmental Engineering, Univ. of Trento, 77 via Mesiano, Trento 38123, Italy. Email: [email protected]
Oreste S. Bursi [email protected]
Professor, Dept. of Civil, Mechanical and Environmental Engineering, Univ. of Trento, 77 via Mesiano, Trento 38123, Italy. Email: [email protected]
Professor, Chair of Structural Dynamics and Earthquake Engineering, Dept. of Civil, Environmental and Geomatic Engineering, Institute of Structural Engineering, 5 Stefano-Franscini Platz, Zürich 8093, Switzerland. ORCID: https://orcid.org/0000-0002-1713-1977. Email: [email protected]

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